
Time bar (total: 3.0s)
| 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)
| 895.0ms | 8 256× | 0 | valid |
ival-sin: 253.0ms (43.3% of total)ival-cos: 200.0ms (34.3% of total)ival-mult!: 113.0ms (19.4% of total)ival-add!: 17.0ms (2.9% of total)adjust: 2.0ms (0.3% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 96 |
| 1 | 97 | 90 |
| 2 | 194 | 90 |
| 3 | 346 | 90 |
| 4 | 656 | 90 |
| 5 | 1499 | 90 |
| 6 | 3799 | 90 |
| 7 | 7071 | 90 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 16 to 16 computations (0% saved)
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx (* x (cos y)) #s(hole binary64 (* x (cos y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))))) |
#s(approx (* x (cos y)) #s(hole binary64 x)) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* -1/2 (* x (pow y 2)))))) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))))) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))))) |
#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 y #s(hole binary64 y)) |
#s(approx (* z (sin y)) #s(hole binary64 (* y z))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* -1/6 (* (pow y 2) z)))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 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 (cos y))) |
#s(approx (* z (sin y)) #s(hole binary64 (* z (sin y)))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) x (cos y) y (* z (sin y)) z (sin y)) |
| 1.0ms | x | @ | 0 | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) x (cos y) y (* z (sin y)) z (sin y)) |
| 1.0ms | x | @ | inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) x (cos y) y (* z (sin y)) z (sin y)) |
| 1.0ms | x | @ | -inf | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) x (cos y) y (* z (sin y)) z (sin y)) |
| 1.0ms | z | @ | 0 | ((+ (* x (cos y)) (* z (sin y))) (* x (cos y)) x (cos y) y (* z (sin y)) z (sin y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 540 |
| 0 | 156 | 534 |
| 1 | 866 | 528 |
| 0 | 7879 | 485 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx (* x (cos y)) #s(hole binary64 (* x (cos y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))))) |
#s(approx (* x (cos y)) #s(hole binary64 x)) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* -1/2 (* x (pow y 2)))))) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))))) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))))) |
#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 y #s(hole binary64 y)) |
#s(approx (* z (sin y)) #s(hole binary64 (* y z))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* -1/6 (* (pow y 2) z)))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 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 (cos y))) |
#s(approx (* z (sin y)) #s(hole binary64 (* z (sin y)))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos 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 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (sin.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 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.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 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.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 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.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 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.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 (cos.f64 y) x) z) (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.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 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 x (cos.f64 y) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.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 (cos.f64 y) x) (*.f64 (sin.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 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) |
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (neg.f64 x) (cos.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.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 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) (/.f64 (pow.f64 (*.f64 (sin.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 (sin.f64 y) z) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))) |
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
x |
(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))))) |
y |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
#s(approx (* x (cos y)) (*.f64 (cos.f64 y) x)) |
#s(approx x x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (* x (cos y)) x) |
#s(approx (* x (cos y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) |
#s(approx (* x (cos y)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) y) y x)) |
#s(approx (* x (cos y)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) y) y x)) |
#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 y y) |
#s(approx (* z (sin y)) (*.f64 z y)) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y)) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 y y) (*.f64 #s(literal -1/6 binary64) z)) y) y z) 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 (cos y) (cos.f64 y)) |
#s(approx (* z (sin y)) (*.f64 (sin.f64 y) z)) |
#s(approx (sin y) (sin.f64 y)) |
#s(approx z z) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y))))) |
Compiled 624 to 257 computations (58.8% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 12 | 63 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 52 | 12 | 64 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) | |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 46.8% | (/.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 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) | |
| ▶ | 78.7% | (+.f64 #s(approx (* x (cos y)) x) (*.f64 z (sin.f64 y))) |
| 55.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) | |
| ▶ | 55.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
| 55.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) | |
| 93.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) | |
| 89.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| ▶ | 41.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
| 60.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) | |
| ▶ | 40.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) x) |
Compiled 290 to 284 computations (2.1% saved)
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos.f64 y) |
y |
x |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
#s(approx (+ (* x (cos y)) (* z (sin y))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) |
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) |
(*.f64 y x) |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 z (sin.f64 y))) |
#s(approx (* x (cos y)) x) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* y z))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z)))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 z)) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (+ z (* -1/2 (* x y))))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (* x (cos y)) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x)))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* -1/2 (* x y)))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* x (+ (* -1/2 y) (/ z x))))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y)))))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y 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 y #s(hole binary64 y)) |
#s(approx (* (sin y) z) #s(hole binary64 (* y z))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* -1/6 (* (pow y 2) z)))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 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 (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (* x (cos y)) #s(hole binary64 x)) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* -1/2 (* x (pow y 2)))))) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))))) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y z))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* -1/6 (* (pow y 2) z)))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx (* (sin y) z) #s(hole binary64 (* z (sin y)))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* -1/2 (* x (pow y 2))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* (pow y 2) (+ (* -1/2 x) (/ z y))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* (pow y 2) (+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y)))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* y (+ (* -1/2 x) (/ z y))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* -1 (* y (+ (* -1 (/ z y)) (* 1/2 x)))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ x (* -1/2 (* x (pow y 2)))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ x (+ (* -1/2 (* x (pow y 2))) (* y z))))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* z (+ 1 (* -1/2 (/ (* x y) z)))))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z))))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (/ (* x y) z)) 1))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((+ (* (cos y) x) (* (sin y) z)) (cos y) y x (* (sin y) z) (sin y) z (+ (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (* y x) -1/2 (+ (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (* z (sin y))) |
| 3.0ms | x | @ | inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) y x (* (sin y) z) (sin y) z (+ (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (* y x) -1/2 (+ (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (* z (sin y))) |
| 2.0ms | x | @ | -inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) y x (* (sin y) z) (sin y) z (+ (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (* y x) -1/2 (+ (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (* z (sin y))) |
| 2.0ms | z | @ | -inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) y x (* (sin y) z) (sin y) z (+ (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (* y x) -1/2 (+ (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (* z (sin y))) |
| 1.0ms | y | @ | -inf | ((+ (* (cos y) x) (* (sin y) z)) (cos y) y x (* (sin y) z) (sin y) z (+ (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (* y x) -1/2 (+ (* x (cos y)) (* z (sin y))) (+ (* x (cos y)) (* z (sin y))) (* x (cos y)) (* z (sin y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 272 | 1438 |
| 0 | 288 | 1387 |
| 1 | 1512 | 1387 |
| 0 | 8043 | 1326 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(cos.f64 y) |
y |
x |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
#s(approx (+ (* x (cos y)) (* z (sin y))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
(fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x) |
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) |
(*.f64 y x) |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 z (sin.f64 y))) |
#s(approx (* x (cos y)) x) |
(*.f64 z (sin.f64 y)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* y z))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z)))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 z)) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (+ z (* -1/2 (* x y))))) |
#s(approx (* y x) #s(hole binary64 (* x y))) |
#s(approx (* x (cos y)) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x)))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* -1/2 (* x y)))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* x (+ (* -1/2 y) (/ z x))))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y)))))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 x)) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y 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 y #s(hole binary64 y)) |
#s(approx (* (sin y) z) #s(hole binary64 (* y z))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* -1/6 (* (pow y 2) z)))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 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 (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (* x (cos y)) #s(hole binary64 x)) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* -1/2 (* x (pow y 2)))))) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))))) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y z))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* -1/6 (* (pow y 2) z)))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx (* (sin y) z) #s(hole binary64 (* z (sin y)))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* -1/2 (* x (pow y 2))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* (pow y 2) (+ (* -1/2 x) (/ z y))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* (pow y 2) (+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y)))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* y (+ (* -1/2 x) (/ z y))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* -1 (* y (+ (* -1 (/ z y)) (* 1/2 x)))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ x (* -1/2 (* x (pow y 2)))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ x (+ (* -1/2 (* x (pow y 2))) (* y z))))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* z (+ 1 (* -1/2 (/ (* x y) z)))))) |
#s(approx (+ (* (cos y) x) (* (sin y) z)) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z))))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (/ (* x y) z)) 1))))) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 y)) z) (*.f64 (neg.f64 (sin.f64 y)) z))) (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (sin.f64 y)) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y)))) (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 y)) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (sin.f64 y)) z) (*.f64 (neg.f64 (sin.f64 y)) z) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (sin.f64 y)) z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))))) |
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(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))))) |
y |
x |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
z |
#s(approx (+ (* x (cos y)) (* z (sin y))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z)))) (+.f64 x (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z)) (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z)) (*.f64 x (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)))) (neg.f64 (-.f64 x (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)) (*.f64 x (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y))) (-.f64 x (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)) (*.f64 x (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y x) |
(fma.f64 y (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) x) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y))) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)) (-.f64 x (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)))) |
(-.f64 x (*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) x))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)) (*.f64 x (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y))))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)) (*.f64 x (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)))))) |
(+.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y) x) |
(+.f64 x (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) (+.f64 z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) z) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) #s(literal 3 binary64))) (fma.f64 z z (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) (*.f64 z (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) (neg.f64 (-.f64 z (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) z))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x))))) (neg.f64 (fma.f64 z z (-.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 z (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 z z) z))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) z))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (-.f64 z (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 z z)) (-.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) |
(/.f64 (fma.f64 (*.f64 z z) z (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x)))) (fma.f64 z z (-.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 z (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 z z) z)) (fma.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) |
(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x y) z) |
(fma.f64 y (*.f64 #s(literal -1/2 binary64) x) z) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (-.f64 z (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (-.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) z))) |
(-.f64 z (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) |
(+.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 z z (-.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 z (*.f64 (*.f64 x y) #s(literal -1/2 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 z z (-.f64 (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) (*.f64 z (*.f64 (*.f64 x y) #s(literal -1/2 binary64))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) z)))) (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) (-.f64 (*.f64 z z) (*.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) z))))) |
(+.f64 (*.f64 (*.f64 x y) #s(literal -1/2 binary64)) z) |
(+.f64 z (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 x y) |
(*.f64 y x) |
#s(literal -1/2 binary64) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
(/.f64 (-.f64 (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x)) (*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y)))) (+.f64 #s(approx (* x (cos y)) x) (*.f64 (neg.f64 z) (sin.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x))) (-.f64 (*.f64 (sin.f64 y) z) #s(approx (* x (cos y)) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x)) #s(approx (* x (cos y)) x)) (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x) (fma.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 #s(approx (* x (cos y)) x) (*.f64 (neg.f64 z) (sin.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (*.f64 (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x)) #s(approx (* x (cos y)) x))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x)) (*.f64 (*.f64 (sin.f64 y) z) #s(approx (* x (cos y)) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (* x (cos y)) x) (*.f64 (sin.f64 y) z)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x)) #s(approx (* x (cos y)) x) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 #s(approx (* x (cos y)) x) (*.f64 (sin.f64 y) z)))))) |
(/.f64 (-.f64 (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 #s(approx (* x (cos y)) x) (*.f64 (sin.f64 y) z))) |
(/.f64 (fma.f64 (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x)) #s(approx (* x (cos y)) x) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 #s(approx (* x (cos y)) x) (*.f64 (sin.f64 y) z))))) |
(fma.f64 (sin.f64 y) z #s(approx (* x (cos y)) x)) |
(fma.f64 z (sin.f64 y) #s(approx (* x (cos y)) x)) |
(-.f64 (/.f64 (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x)) (-.f64 #s(approx (* x (cos y)) x) (*.f64 (sin.f64 y) z))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 #s(approx (* x (cos y)) x) (*.f64 (sin.f64 y) z)))) |
(-.f64 #s(approx (* x (cos y)) x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x)) #s(approx (* x (cos y)) x)) (fma.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 #s(approx (* x (cos y)) x) (*.f64 (sin.f64 y) z))))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 #s(approx (* x (cos y)) x) (*.f64 (sin.f64 y) z)))))) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 (sin.f64 y) z)) |
(+.f64 (*.f64 (sin.f64 y) z) #s(approx (* x (cos y)) x)) |
#s(approx (* x (cos y)) x) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
#s(approx x x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 z y)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (*.f64 z y))) |
#s(approx (+ (* (* y x) -1/2) z) z) |
#s(approx (+ (* (* y x) -1/2) z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z)) |
#s(approx (* y x) (*.f64 x y)) |
#s(approx (* x (cos y)) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* y x) -1/2) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) |
#s(approx (+ (* (* y x) -1/2) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) z) x)) (neg.f64 (cos.f64 y))) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) z) x)) (neg.f64 (cos.f64 y))) x))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (neg.f64 (/.f64 (*.f64 z y) x))) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (* y x) -1/2) z) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 z) x)) x))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#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 y y) |
#s(approx (* z (sin y)) (*.f64 z y)) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y)) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y)) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/120 binary64) z)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) 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 (+ (* x (cos y)) (* z (sin y))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) x) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (fma.f64 z y x)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y x)) |
#s(approx (* x (cos y)) x) |
#s(approx (* x (cos y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) |
#s(approx (* x (cos y)) (fma.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) |
#s(approx (* x (cos y)) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) |
#s(approx (* z (sin y)) (*.f64 z y)) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y)) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y)) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal 1/120 binary64) z)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y)) |
#s(approx (cos y) (cos.f64 y)) |
#s(approx (* z (sin y)) (*.f64 (sin.f64 y) z)) |
#s(approx (sin y) (sin.f64 y)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (*.f64 y y))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (+.f64 (/.f64 x (*.f64 y y)) (/.f64 z y))) (*.f64 y y))) |
#s(approx (+ (* (* y x) -1/2) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) |
#s(approx (* z (sin y)) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 x y)) (neg.f64 z)) y))) (*.f64 y y))) |
#s(approx (+ (* (* y x) -1/2) z) (*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)))) |
#s(approx z z) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (+.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) (*.f64 z y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x) z) y) z)) |
#s(approx (+ (* (* y x) -1/2) z) (*.f64 (fma.f64 (/.f64 (*.f64 x y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (+.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 y) x) z)) (neg.f64 (sin.f64 y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (+.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 y) x) z)) (neg.f64 (sin.f64 y))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (neg.f64 z) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x) z)) (neg.f64 y)))) |
#s(approx (+ (* (* y x) -1/2) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (*.f64 x y) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
Compiled 2 006 to 632 computations (68.5% saved)
23 alts after pruning (19 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 150 | 14 | 164 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 153 | 23 | 176 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| ▶ | 78.6% | (fma.f64 (sin.f64 y) z #s(approx (* x (cos y)) x)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 46.8% | (/.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 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) | |
| 78.7% | (+.f64 (*.f64 (sin.f64 y) z) #s(approx (* x (cos y)) x)) | |
| 54.9% | (+.f64 #s(approx (* x (cos y)) x) (*.f64 z #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)))) | |
| 55.0% | (+.f64 #s(approx (* x (cos y)) x) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| ✓ | 55.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
| 39.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) | |
| 55.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) z) y x)) | |
| 93.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) | |
| 89.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| ✓ | 41.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
| 89.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (+.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 y) x) z)) (neg.f64 (sin.f64 y))))) | |
| 60.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) | |
| ▶ | 19.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) y) z)) |
| 9.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (*.f64 y y)))) | |
| 3.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))) | |
| ▶ | 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
| ▶ | 18.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) |
| ✓ | 40.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) x) |
Compiled 656 to 626 computations (4.6% saved)
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) y) z)) |
(*.f64 #s(approx (sin y) y) z) |
#s(approx (sin y) y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y)) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
#s(literal -1/6 binary64) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) |
#s(literal 1/120 binary64) |
(*.f64 #s(literal -1/6 binary64) z) |
(fma.f64 (sin.f64 y) z #s(approx (* x (cos y)) x)) |
#s(approx (* x (cos y)) x) |
| Outputs |
|---|
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx (* (cos y) x) #s(hole binary64 (* x (cos y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx (* x (cos y)) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y 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 y #s(hole binary64 y)) |
#s(approx (* (cos y) x) #s(hole binary64 x)) |
#s(approx (* (cos y) x) #s(hole binary64 (+ x (* -1/2 (* x (pow y 2)))))) |
#s(approx (* (cos y) x) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))))) |
#s(approx (* (cos y) x) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))))) |
#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 (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y z))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* -1/6 (* (pow y 2) z)))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y z))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* -1/6 (* (pow y 2) z)))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))))) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) #s(hole binary64 (* y z))) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) #s(hole binary64 (* y (+ z (* -1/6 (* (pow y 2) z)))))) |
#s(approx (+ (* (* (* y y) z) -1/6) z) #s(hole binary64 z)) |
#s(approx (+ (* (* (* y y) z) -1/6) z) #s(hole binary64 (+ z (* -1/6 (* (pow y 2) z))))) |
#s(approx (* (* y y) z) #s(hole binary64 (* (pow y 2) z))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* y z))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* y (+ z (* -1/6 (* (pow y 2) z)))))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) #s(hole binary64 z)) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) #s(hole binary64 (+ z (* -1/6 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) #s(hole binary64 (* -1/6 z))) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) #s(hole binary64 (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))))) |
#s(approx (* x (cos y)) #s(hole binary64 x)) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* -1/2 (* x (pow y 2)))))) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))))) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx (* (sin y) z) #s(hole binary64 (* z (sin y)))) |
#s(approx (* z (sin y)) #s(hole binary64 (* z (sin y)))) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) #s(hole binary64 (* -1/6 (* (pow y 3) z)))) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) #s(hole binary64 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))) |
#s(approx (+ (* (* (* y y) z) -1/6) z) #s(hole binary64 (* -1/6 (* (pow y 2) z)))) |
#s(approx (+ (* (* (* y y) z) -1/6) z) #s(hole binary64 (* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2)))))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* 1/120 (* (pow y 5) z)))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) #s(hole binary64 (* 1/120 (* (pow y 4) z)))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) #s(hole binary64 (* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) #s(hole binary64 (* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))))) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) #s(hole binary64 (* 1/120 (* (pow y 2) z)))) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) #s(hole binary64 (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))))) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) #s(hole binary64 (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) #s(hole binary64 (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
#s(approx (+ (* (* (* y y) z) -1/6) z) #s(hole binary64 (* z (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) #s(hole binary64 (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) #s(hole binary64 (* z (- (* 1/120 (pow y 2)) 1/6)))) |
#s(approx (* -1/6 z) #s(hole binary64 (* -1/6 z))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))))) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) #s(hole binary64 (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
#s(approx (+ (* (* (* y y) z) -1/6) z) #s(hole binary64 (* -1 (* z (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* -1 (* y (* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) #s(hole binary64 (* -1 (* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) #s(hole binary64 (* -1 (* z (+ 1/6 (* -1/120 (pow y 2))))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 65.0ms | y | @ | 0 | ((+ (* (sin y) z) (* (cos y) x)) (sin y) y z (* (cos y) x) (cos y) x (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (* z (sin y)) (* (+ (* (* (* y y) z) -1/6) z) y) (+ (* (* (* y y) z) -1/6) z) (* (* y y) z) (* y y) -1/6 (+ (* x (cos y)) (* z (sin y))) (* z (sin y)) (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) 1/120 (* -1/6 z) (+ (* (sin y) z) (* x (cos y))) (* x (cos y))) |
| 5.0ms | z | @ | 0 | ((+ (* (sin y) z) (* (cos y) x)) (sin y) y z (* (cos y) x) (cos y) x (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (* z (sin y)) (* (+ (* (* (* y y) z) -1/6) z) y) (+ (* (* (* y y) z) -1/6) z) (* (* y y) z) (* y y) -1/6 (+ (* x (cos y)) (* z (sin y))) (* z (sin y)) (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) 1/120 (* -1/6 z) (+ (* (sin y) z) (* x (cos y))) (* x (cos y))) |
| 4.0ms | z | @ | -inf | ((+ (* (sin y) z) (* (cos y) x)) (sin y) y z (* (cos y) x) (cos y) x (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (* z (sin y)) (* (+ (* (* (* y y) z) -1/6) z) y) (+ (* (* (* y y) z) -1/6) z) (* (* y y) z) (* y y) -1/6 (+ (* x (cos y)) (* z (sin y))) (* z (sin y)) (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) 1/120 (* -1/6 z) (+ (* (sin y) z) (* x (cos y))) (* x (cos y))) |
| 3.0ms | z | @ | inf | ((+ (* (sin y) z) (* (cos y) x)) (sin y) y z (* (cos y) x) (cos y) x (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (* z (sin y)) (* (+ (* (* (* y y) z) -1/6) z) y) (+ (* (* (* y y) z) -1/6) z) (* (* y y) z) (* y y) -1/6 (+ (* x (cos y)) (* z (sin y))) (* z (sin y)) (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) 1/120 (* -1/6 z) (+ (* (sin y) z) (* x (cos y))) (* x (cos y))) |
| 3.0ms | y | @ | inf | ((+ (* (sin y) z) (* (cos y) x)) (sin y) y z (* (cos y) x) (cos y) x (+ (* x (cos y)) (* z (sin y))) (* (sin y) z) (sin y) (+ (* x (cos y)) (* z (sin y))) (* z (sin y)) (* (+ (* (* (* y y) z) -1/6) z) y) (+ (* (* (* y y) z) -1/6) z) (* (* y y) z) (* y y) -1/6 (+ (* x (cos y)) (* z (sin y))) (* z (sin y)) (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) 1/120 (* -1/6 z) (+ (* (sin y) z) (* x (cos y))) (* x (cos y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 310 | 2304 |
| 0 | 339 | 2233 |
| 1 | 1476 | 2233 |
| 0 | 8293 | 2154 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) y) z)) |
(*.f64 #s(approx (sin y) y) z) |
#s(approx (sin y) y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y)) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) |
(*.f64 (*.f64 y y) z) |
(*.f64 y y) |
#s(literal -1/6 binary64) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) |
#s(literal 1/120 binary64) |
(*.f64 #s(literal -1/6 binary64) z) |
(fma.f64 (sin.f64 y) z #s(approx (* x (cos y)) x)) |
#s(approx (* x (cos y)) x) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx (* (cos y) x) #s(hole binary64 (* x (cos y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx (* x (cos y)) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 x)) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y 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 y #s(hole binary64 y)) |
#s(approx (* (cos y) x) #s(hole binary64 x)) |
#s(approx (* (cos y) x) #s(hole binary64 (+ x (* -1/2 (* x (pow y 2)))))) |
#s(approx (* (cos y) x) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))))) |
#s(approx (* (cos y) x) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))))) |
#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 (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y z))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* -1/6 (* (pow y 2) z)))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y z))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* -1/6 (* (pow y 2) z)))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))) |
#s(approx (* z (sin y)) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))))) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) #s(hole binary64 (* y z))) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) #s(hole binary64 (* y (+ z (* -1/6 (* (pow y 2) z)))))) |
#s(approx (+ (* (* (* y y) z) -1/6) z) #s(hole binary64 z)) |
#s(approx (+ (* (* (* y y) z) -1/6) z) #s(hole binary64 (+ z (* -1/6 (* (pow y 2) z))))) |
#s(approx (* (* y y) z) #s(hole binary64 (* (pow y 2) z))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* y z))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* y (+ z (* -1/6 (* (pow y 2) z)))))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) #s(hole binary64 z)) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) #s(hole binary64 (+ z (* -1/6 (* (pow y 2) z))))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) #s(hole binary64 (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) #s(hole binary64 (* -1/6 z))) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) #s(hole binary64 (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))))) |
#s(approx (* x (cos y)) #s(hole binary64 x)) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* -1/2 (* x (pow y 2)))))) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))))) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx (* (sin y) z) #s(hole binary64 (* z (sin y)))) |
#s(approx (* z (sin y)) #s(hole binary64 (* z (sin y)))) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) #s(hole binary64 (* -1/6 (* (pow y 3) z)))) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) #s(hole binary64 (* (pow y 3) (+ (* -1/6 z) (/ z (pow y 2)))))) |
#s(approx (+ (* (* (* y y) z) -1/6) z) #s(hole binary64 (* -1/6 (* (pow y 2) z)))) |
#s(approx (+ (* (* (* y y) z) -1/6) z) #s(hole binary64 (* (pow y 2) (+ (* -1/6 z) (/ z (pow y 2)))))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* 1/120 (* (pow y 5) z)))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* (pow y 5) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) #s(hole binary64 (* 1/120 (* (pow y 4) z)))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) #s(hole binary64 (* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) #s(hole binary64 (* (pow y 4) (+ (* -1/6 (/ z (pow y 2))) (+ (* 1/120 z) (/ z (pow y 4))))))) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) #s(hole binary64 (* 1/120 (* (pow y 2) z)))) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) #s(hole binary64 (* (pow y 2) (+ (* -1/6 (/ z (pow y 2))) (* 1/120 z))))) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) #s(hole binary64 (* -1 (* (pow y 3) (+ (* -1 (/ z (pow y 2))) (* 1/6 z)))))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* -1 (* (pow y 5) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2)))))))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* -1 (* (pow y 5) (+ (* -1 (/ z (pow y 4))) (+ (* -1/120 z) (* 1/6 (/ z (pow y 2))))))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) #s(hole binary64 (* y (* z (+ 1 (* -1/6 (pow y 2))))))) |
#s(approx (+ (* (* (* y y) z) -1/6) z) #s(hole binary64 (* z (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* y (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) #s(hole binary64 (* z (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) #s(hole binary64 (* z (- (* 1/120 (pow y 2)) 1/6)))) |
#s(approx (* -1/6 z) #s(hole binary64 (* -1/6 z))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (+ (* (sin y) z) (* (cos y) x)) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))))) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) #s(hole binary64 (* -1 (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
#s(approx (+ (* (* (* y y) z) -1/6) z) #s(hole binary64 (* -1 (* z (- (* 1/6 (pow y 2)) 1))))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) #s(hole binary64 (* -1 (* y (* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)))))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) #s(hole binary64 (* -1 (* z (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))))) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) #s(hole binary64 (* -1 (* z (+ 1/6 (* -1/120 (pow y 2))))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))))) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (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 z z) (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 (sin.f64 y) z) (*.f64 (neg.f64 x) (cos.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (sin.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 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.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 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))) |
(/.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 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)))) (neg.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #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 (-.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 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.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 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 (sin.f64 y) z) (*.f64 (cos.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 (cos.f64 y) x) (*.f64 (sin.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 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 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.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 (-.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 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.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 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) |
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x)) |
(fma.f64 (sin.f64 y) z (*.f64 (neg.f64 (neg.f64 x)) (cos.f64 y))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 x (cos.f64 y) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y))) |
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)) |
(fma.f64 z (sin.f64 y) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x)) |
(fma.f64 z (sin.f64 y) (*.f64 (neg.f64 (neg.f64 x)) (cos.f64 y))) |
(fma.f64 z (sin.f64 y) (*.f64 (cos.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 (cos.f64 y) x) (*.f64 (sin.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 (cos.f64 y) x) (*.f64 (sin.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 z z)) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) (/.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) z) (*.f64 (cos.f64 y) x)))) |
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (neg.f64 x) (cos.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.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 (-.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 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))) (/.f64 (pow.f64 (*.f64 (sin.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 (-.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 (cos.f64 y) x) (*.f64 (sin.f64 y) z)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.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 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 (sin.f64 y) z) (*.f64 (cos.f64 y) x))))) (/.f64 (pow.f64 (*.f64 (cos.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 (sin.f64 y) z) (*.f64 (cos.f64 y) x)))))) |
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) x)) |
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (neg.f64 (neg.f64 x)) (cos.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 (neg.f64 z)) (sin.f64 y))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(sin.f64 y) |
y |
z |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(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))))) |
x |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) y) z)) |
(*.f64 #s(approx (sin y) y) z) |
(*.f64 z #s(approx (sin y) y)) |
#s(approx (sin y) y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z z) y))) |
#s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z z) y)) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z z) y) |
(*.f64 y (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z z)) |
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#s(approx y y) |
#s(approx (* x (cos y)) x) |
#s(approx (* x (cos y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) |
#s(approx (* x (cos y)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) |
#s(approx (* x (cos y)) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) |
#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 (+ (* x (cos y)) (* z (sin y))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) y z) y x)) |
#s(approx (* (sin y) z) (*.f64 z y)) |
#s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z z) y)) |
#s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z (*.f64 #s(literal -1/6 binary64) z)) y) y z) y)) |
#s(approx (* (sin y) z) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) z (*.f64 #s(literal 1/120 binary64) z)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y)) |
#s(approx (* (sin y) z) (*.f64 z y)) |
#s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z z) y)) |
#s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z (*.f64 #s(literal -1/6 binary64) z)) y) y z) y)) |
#s(approx (* (sin y) z) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) z (*.f64 #s(literal 1/120 binary64) z)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y)) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) (*.f64 z y)) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z z) y)) |
#s(approx (+ (* (* (* y y) z) -1/6) z) z) |
#s(approx (+ (* (* (* y y) z) -1/6) z) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z z)) |
#s(approx (* (* y y) z) (*.f64 (*.f64 y y) z)) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) (*.f64 z y)) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z z) y)) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z (*.f64 #s(literal -1/6 binary64) z)) y) y z) y)) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) z) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z z)) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z (*.f64 #s(literal -1/6 binary64) z)) y) y z)) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (*.f64 #s(literal -1/6 binary64) z)) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z (*.f64 #s(literal -1/6 binary64) z))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 z y) #s(literal -1/6 binary64))) y z) y x)) |
#s(approx (* x (cos y)) x) |
#s(approx (* x (cos y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) |
#s(approx (* x (cos y)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) |
#s(approx (* x (cos y)) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) |
#s(approx (sin y) (sin.f64 y)) |
#s(approx (cos y) (cos.f64 y)) |
#s(approx (* (sin y) z) (*.f64 (sin.f64 y) z)) |
#s(approx (* (sin y) z) (*.f64 (sin.f64 y) z)) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) z) #s(literal -1/6 binary64))) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y))) (*.f64 (*.f64 y y) y))) |
#s(approx (+ (* (* (* y y) z) -1/6) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) |
#s(approx (+ (* (* (* y y) z) -1/6) z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z (/.f64 z (*.f64 y y))) (*.f64 y y))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) (*.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) z) #s(literal 1/120 binary64))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) z)) (pow.f64 y #s(literal 5 binary64)))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) z (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))) (pow.f64 y #s(literal 5 binary64)))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) z) #s(literal 1/120 binary64))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) z)))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) z (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y)))) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z)) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (*.f64 (fma.f64 (/.f64 z (*.f64 y y)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) z)) (*.f64 y y))) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) z (neg.f64 (/.f64 z (*.f64 y y))))) (*.f64 (*.f64 y y) y))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) (*.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (fma.f64 #s(literal -1/120 binary64) z (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/6 binary64))))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) (*.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/120 binary64) z (*.f64 (/.f64 z (*.f64 y y)) #s(literal 1/6 binary64))) (neg.f64 (/.f64 z (*.f64 (*.f64 y y) (*.f64 y y)))))) (pow.f64 y #s(literal 5 binary64)))) |
#s(approx z z) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) y)) |
#s(approx (+ (* (* (* y y) z) -1/6) z) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) y)) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) z)) |
#s(approx (* -1/6 z) (*.f64 #s(literal -1/6 binary64) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))) |
#s(approx (* (+ (* (* (* y y) z) -1/6) z) y) (*.f64 (*.f64 (neg.f64 y) z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
#s(approx (+ (* (* (* y y) z) -1/6) z) (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
#s(approx (* (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) y) (*.f64 (neg.f64 y) (*.f64 (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)) z))) |
#s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (*.f64 (neg.f64 z) (fma.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal -1 binary64)))) |
#s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (*.f64 (neg.f64 z) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))) |
Compiled 4 014 to 1 449 computations (63.9% saved)
29 alts after pruning (21 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 286 | 9 | 295 |
| Fresh | 2 | 12 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 289 | 29 | 318 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| ✓ | 78.6% | (fma.f64 (sin.f64 y) z #s(approx (* x (cos y)) x)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| ▶ | 54.9% | (fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) |
| 55.0% | (fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) | |
| 46.8% | (/.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 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) | |
| 36.1% | (/.f64 (-.f64 (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) 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 #s(approx (* x (cos y)) x) (*.f64 (sin.f64 y) z))) | |
| ▶ | 78.7% | (+.f64 (*.f64 (sin.f64 y) z) #s(approx (* x (cos y)) x)) |
| ✓ | 55.4% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
| 39.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) | |
| ▶ | 55.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) z) y x)) |
| ▶ | 93.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
| 89.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) | |
| ✓ | 41.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
| 89.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (+.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 y) x) z)) (neg.f64 (sin.f64 y))))) | |
| 60.6% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) | |
| ✓ | 19.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) y) z)) |
| ▶ | 9.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (*.f64 y y)))) |
| 3.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z (*.f64 #s(literal -1/6 binary64) z)) y) y z) y))) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 z y)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) | |
| ✓ | 18.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) |
| 18.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z)) (*.f64 y y) z) y))) | |
| 3.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 #s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) z) #s(literal 1/120 binary64))) y))) | |
| 2.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 #s(approx (+ (* (* (* y y) z) -1/6) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y))) | |
| 2.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) #s(approx (* (+ (* (* (* y y) z) -1/6) z) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) z) #s(literal -1/6 binary64))))) | |
| ✓ | 40.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) x) |
Compiled 910 to 849 computations (6.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
z |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) z) y x)) |
(fma.f64 #s(approx (+ (* (* y x) -1/2) z) z) y x) |
#s(approx (+ (* (* y x) -1/2) z) z) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (*.f64 y y)))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (*.f64 y y))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) |
#s(literal -1/2 binary64) |
(/.f64 z y) |
(*.f64 y y) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) |
#s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* x (cos y)) x) |
(+.f64 (*.f64 (sin.f64 y) z) #s(approx (* x (cos y)) x)) |
(*.f64 (sin.f64 y) z) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (* z (sin y)))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (/ (* z (sin y)) x))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (/ (+ (* x (cos y)) (* z (sin y))) x))) |
#s(approx (/ (sin y) x) #s(hole binary64 (/ (sin y) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* y z))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z)))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 z)) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (+ z (* -1/2 (* x y))))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (* y z))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (+ (* -1/2 (* x (pow y 2))) (* y z)))) |
#s(approx (+ (* -1/2 x) (/ z y)) #s(hole binary64 (/ z y))) |
#s(approx (+ (* -1/2 x) (/ z y)) #s(hole binary64 (+ (* -1/2 x) (/ z y)))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx (* x (cos y)) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (* x (cos y)))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (cos y))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (+ (cos y) (/ (* z (sin y)) x)))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x)))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* -1/2 (* x y)))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* x (+ (* -1/2 y) (/ z x))))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (* -1/2 (* x (pow y 2))))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (* x (+ (* -1/2 (pow y 2)) (/ (* y z) x))))) |
#s(approx (+ (* -1/2 x) (/ z y)) #s(hole binary64 (* -1/2 x))) |
#s(approx (+ (* -1/2 x) (/ z y)) #s(hole binary64 (* x (- (/ z (* x y)) 1/2)))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y)))))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))))))) |
#s(approx (+ (* -1/2 x) (/ z y)) #s(hole binary64 (* -1 (* x (+ 1/2 (* -1 (/ z (* x y)))))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (+ x (* y z)))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 1)) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (+ 1 (/ (* y z) x)))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (+ 1 (* y (+ (* -1/2 y) (/ z x)))))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x)))))) |
#s(approx (/ (sin y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (sin y) x) #s(hole binary64 (* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))))) |
#s(approx (/ (sin y) x) #s(hole binary64 (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))))) |
#s(approx (/ (sin y) x) #s(hole binary64 (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 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 y #s(hole binary64 y)) |
#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 (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (* y (+ z (* -1/2 (* x y)))))) |
#s(approx (+ (* -1/2 x) (/ z y)) #s(hole binary64 (/ (+ z (* -1/2 (* x y))) y))) |
#s(approx (/ z y) #s(hole binary64 (/ z y))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 y)) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (- (* (* y y) 1/120) 1/6) #s(hole binary64 -1/6)) |
#s(approx (- (* (* y y) 1/120) 1/6) #s(hole binary64 (- (* 1/120 (pow y 2)) 1/6))) |
#s(approx (* (* y y) 1/120) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (* x (cos y)) #s(hole binary64 x)) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* -1/2 (* x (pow y 2)))))) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))))) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y z))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* -1/6 (* (pow y 2) z)))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* -1/2 (* x (pow y 2))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* (pow y 2) (+ (* -1/2 x) (/ z y))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* (pow y 2) (+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y)))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* y (+ (* -1/2 x) (/ z y))))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (* (pow y 2) (+ (* -1/2 x) (/ z y))))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* 1/120 (pow y 5)))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (- 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4)))) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (- (* (* y y) 1/120) 1/6) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (- (* (* y y) 1/120) 1/6) #s(hole binary64 (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* -1 (* y (+ (* -1 (/ z y)) (* 1/2 x)))))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) 1/120))))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4)))))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ x (* -1/2 (* x (pow y 2)))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ x (+ (* -1/2 (* x (pow y 2))) (* y z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (* z (+ (/ (cos y) z) (/ (sin y) x))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* z (+ 1 (* -1/2 (/ (* x y) z)))))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (* z (+ y (* -1/2 (/ (* x (pow y 2)) z)))))) |
#s(approx (+ (* -1/2 x) (/ z y)) #s(hole binary64 (* z (+ (* -1/2 (/ x z)) (/ 1 y))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z))))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (/ (* x y) z)) 1))))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (* -1 (* z (+ (* -1 y) (* 1/2 (/ (* x (pow y 2)) z))))))) |
#s(approx (+ (* -1/2 x) (/ z y)) #s(hole binary64 (* -1 (* z (- (* 1/2 (/ x z)) (/ 1 y)))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | y | @ | -inf | ((+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (sin y) y x z (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (+ (* (* y x) -1/2) z) y) x) (* (+ (* -1/2 x) (/ z y)) (* y y)) (+ (* -1/2 x) (/ z y)) -1/2 (/ z y) (* y y) (+ (* (sin y) z) (* x (cos y))) (sin y) (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) (- (* (* y y) 1/120) 1/6) (* (* y y) 1/120) 1/120 1/6 1 (* x (cos y)) (+ (* (sin y) z) (* x (cos y))) (* (sin y) z)) |
| 8.0ms | z | @ | inf | ((+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (sin y) y x z (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (+ (* (* y x) -1/2) z) y) x) (* (+ (* -1/2 x) (/ z y)) (* y y)) (+ (* -1/2 x) (/ z y)) -1/2 (/ z y) (* y y) (+ (* (sin y) z) (* x (cos y))) (sin y) (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) (- (* (* y y) 1/120) 1/6) (* (* y y) 1/120) 1/120 1/6 1 (* x (cos y)) (+ (* (sin y) z) (* x (cos y))) (* (sin y) z)) |
| 4.0ms | y | @ | inf | ((+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (sin y) y x z (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (+ (* (* y x) -1/2) z) y) x) (* (+ (* -1/2 x) (/ z y)) (* y y)) (+ (* -1/2 x) (/ z y)) -1/2 (/ z y) (* y y) (+ (* (sin y) z) (* x (cos y))) (sin y) (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) (- (* (* y y) 1/120) 1/6) (* (* y y) 1/120) 1/120 1/6 1 (* x (cos y)) (+ (* (sin y) z) (* x (cos y))) (* (sin y) z)) |
| 3.0ms | x | @ | -inf | ((+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (sin y) y x z (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (+ (* (* y x) -1/2) z) y) x) (* (+ (* -1/2 x) (/ z y)) (* y y)) (+ (* -1/2 x) (/ z y)) -1/2 (/ z y) (* y y) (+ (* (sin y) z) (* x (cos y))) (sin y) (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) (- (* (* y y) 1/120) 1/6) (* (* y y) 1/120) 1/120 1/6 1 (* x (cos y)) (+ (* (sin y) z) (* x (cos y))) (* (sin y) z)) |
| 3.0ms | z | @ | -inf | ((+ (* x (cos y)) (* z (sin y))) (* (+ (* (/ (sin y) x) z) (cos y)) x) (+ (* (/ (sin y) x) z) (cos y)) (/ (sin y) x) (sin y) y x z (cos y) (+ (* x (cos y)) (* z (sin y))) (+ (* (+ (* (* y x) -1/2) z) y) x) (+ (* (* y x) -1/2) z) (+ (* x (cos y)) (* z (sin y))) (+ (* (+ (* (* y x) -1/2) z) y) x) (* (+ (* -1/2 x) (/ z y)) (* y y)) (+ (* -1/2 x) (/ z y)) -1/2 (/ z y) (* y y) (+ (* (sin y) z) (* x (cos y))) (sin y) (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) (- (* (* y y) 1/120) 1/6) (* (* y y) 1/120) 1/120 1/6 1 (* x (cos y)) (+ (* (sin y) z) (* x (cos y))) (* (sin y) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 437 | 2836 |
| 0 | 471 | 2754 |
| 1 | 2280 | 2748 |
| 0 | 8490 | 2587 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
z |
(cos.f64 y) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) z) y x)) |
(fma.f64 #s(approx (+ (* (* y x) -1/2) z) z) y x) |
#s(approx (+ (* (* y x) -1/2) z) z) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (*.f64 y y)))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (*.f64 y y))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) |
#s(literal -1/2 binary64) |
(/.f64 z y) |
(*.f64 y y) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) |
#s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (* x (cos y)) x) |
(+.f64 (*.f64 (sin.f64 y) z) #s(approx (* x (cos y)) x)) |
(*.f64 (sin.f64 y) z) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (* z (sin y)))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (/ (* z (sin y)) x))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (/ (+ (* x (cos y)) (* z (sin y))) x))) |
#s(approx (/ (sin y) x) #s(hole binary64 (/ (sin y) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* y z))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ (* x (+ 1 (* -1/2 (pow y 2)))) (* y z)))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 z)) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (+ z (* -1/2 (* x y))))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (* y z))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (+ (* -1/2 (* x (pow y 2))) (* y z)))) |
#s(approx (+ (* -1/2 x) (/ z y)) #s(hole binary64 (/ z y))) |
#s(approx (+ (* -1/2 x) (/ z y)) #s(hole binary64 (+ (* -1/2 x) (/ z y)))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (+ (* x (cos y)) (* z (sin y))))) |
#s(approx (* x (cos y)) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (* x (cos y)))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (cos y))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (+ (cos y) (/ (* z (sin y)) x)))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* x (+ 1 (* -1/2 (pow y 2)))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* x (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y z) x)))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* -1/2 (* x y)))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* x (+ (* -1/2 y) (/ z x))))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (* -1/2 (* x (pow y 2))))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (* x (+ (* -1/2 (pow y 2)) (/ (* y z) x))))) |
#s(approx (+ (* -1/2 x) (/ z y)) #s(hole binary64 (* -1/2 x))) |
#s(approx (+ (* -1/2 x) (/ z y)) #s(hole binary64 (* x (- (/ z (* x y)) 1/2)))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* x (cos y)))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* x (+ (cos y) (/ (* z (sin y)) x))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (pow y 2)) 1))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))) 1))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* -1 (* x (+ (* -1 (/ z x)) (* 1/2 y)))))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* y z) x)) (* 1/2 (pow y 2))))))) |
#s(approx (+ (* -1/2 x) (/ z y)) #s(hole binary64 (* -1 (* x (+ 1/2 (* -1 (/ z (* x y)))))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (* z (sin y)) x))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (+ x (* y z)))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 1)) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (+ 1 (/ (* y z) x)))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (+ 1 (* y (+ (* -1/2 y) (/ z x)))))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (+ 1 (* y (+ (* y (- (* -1/6 (/ (* y z) x)) 1/2)) (/ z x)))))) |
#s(approx (/ (sin y) x) #s(hole binary64 (/ y x))) |
#s(approx (/ (sin y) x) #s(hole binary64 (* y (+ (* -1/6 (/ (pow y 2) x)) (/ 1 x))))) |
#s(approx (/ (sin y) x) #s(hole binary64 (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))))) |
#s(approx (/ (sin y) x) #s(hole binary64 (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 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 y #s(hole binary64 y)) |
#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 (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (* y (+ z (* -1/2 (* x y)))))) |
#s(approx (+ (* -1/2 x) (/ z y)) #s(hole binary64 (/ (+ z (* -1/2 (* x y))) y))) |
#s(approx (/ z y) #s(hole binary64 (/ z y))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (+ x (* y z)))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (+ x (* y (+ z (* -1/2 (* x y))))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (+ x (* y (+ z (* y (+ (* -1/2 x) (* -1/6 (* y z))))))))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 y)) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2)))))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow y 2))))) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
#s(approx (- (* (* y y) 1/120) 1/6) #s(hole binary64 -1/6)) |
#s(approx (- (* (* y y) 1/120) 1/6) #s(hole binary64 (- (* 1/120 (pow y 2)) 1/6))) |
#s(approx (* (* y y) 1/120) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (* x (cos y)) #s(hole binary64 x)) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* -1/2 (* x (pow y 2)))))) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))))) |
#s(approx (* x (cos y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y z))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* -1/6 (* (pow y 2) z)))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))))) |
#s(approx (sin y) #s(hole binary64 (sin y))) |
#s(approx (cos y) #s(hole binary64 (cos y))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* -1/2 (* x (pow y 2))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* (pow y 2) (+ (* -1/2 x) (/ z y))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* (pow y 2) (+ (* -1/2 x) (+ (/ x (pow y 2)) (/ z y)))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* y (+ (* -1/2 x) (/ z y))))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (* (pow y 2) (+ (* -1/2 x) (/ z y))))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* 1/120 (pow y 5)))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (- 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (* 1/120 (pow y 4)))) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (- (* (* y y) 1/120) 1/6) #s(hole binary64 (* 1/120 (pow y 2)))) |
#s(approx (- (* (* y y) 1/120) 1/6) #s(hole binary64 (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))))) |
#s(approx (* (sin y) z) #s(hole binary64 (* z (sin y)))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (+ (* -1 z) (* -1 (/ x y))) y)) (* -1/2 x))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* -1 (* y (+ (* -1 (/ z y)) (* 1/2 x)))))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) 1/120))))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) #s(hole binary64 (* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4)))))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ x (* -1/2 (* x (pow y 2)))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (+ x (+ (* -1/2 (* x (pow y 2))) (* y z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (* z (+ (/ (cos y) z) (/ (sin y) x))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* z (+ y (+ (* -1/2 (/ (* x (pow y 2)) z)) (/ x z)))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* z (+ 1 (* -1/2 (/ (* x y) z)))))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (* z (+ y (* -1/2 (/ (* x (pow y 2)) z)))))) |
#s(approx (+ (* -1/2 x) (/ z y)) #s(hole binary64 (* z (+ (* -1/2 (/ x z)) (/ 1 y))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* z (+ (sin y) (/ (* x (cos y)) z))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (cos y) z)) (* -1 (/ (sin y) x))))))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1/2 (* x (pow y 2)))) z))))))) |
#s(approx (+ (* (* y x) -1/2) z) #s(hole binary64 (* -1 (* z (- (* 1/2 (/ (* x y) z)) 1))))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) #s(hole binary64 (* -1 (* z (+ (* -1 y) (* 1/2 (/ (* x (pow y 2)) z))))))) |
#s(approx (+ (* -1/2 x) (/ z y)) #s(hole binary64 (* -1 (* z (- (* 1/2 (/ x z)) (/ 1 y)))))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) #s(hole binary64 (* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z))))))) |
| Outputs |
|---|
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x) |
(*.f64 x (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x)) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z))) (*.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z)))))) |
(fma.f64 (cos.f64 y) x (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x)) |
(fma.f64 (cos.f64 y) x (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z))) |
(fma.f64 x (cos.f64 y) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x)) |
(fma.f64 x (cos.f64 y) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) z))) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (*.f64 (/.f64 (sin.f64 y) x) z) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 x (*.f64 (/.f64 (sin.f64 y) x) 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) z) (cos.f64 y)))) |
(/.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 (cos.f64 y) (*.f64 (/.f64 (sin.f64 y) x) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) x) z) #s(literal 3 binary64)) (pow.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) z) (cos.f64 y)))))) |
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(/.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) z) (cos.f64 y))) |
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(fma.f64 z (sin.f64 y) #s(approx (* x (cos y)) x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 y) z) #s(approx (* x (cos y)) x))) (/.f64 (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x)) (-.f64 (*.f64 (sin.f64 y) z) #s(approx (* x (cos y)) x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x)) (*.f64 (*.f64 (sin.f64 y) z) #s(approx (* x (cos y)) x))))) (/.f64 (*.f64 (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x)) #s(approx (* x (cos y)) x)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) x)) (*.f64 (*.f64 (sin.f64 y) z) #s(approx (* x (cos y)) x)))))) |
(+.f64 (*.f64 (sin.f64 y) z) #s(approx (* x (cos y)) x)) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (*.f64 (sin.f64 y) z)) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) z)) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) x)) |
#s(approx (/ (sin y) x) (/.f64 (sin.f64 y) x)) |
#s(approx x x) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 z y)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (*.f64 z y))) |
#s(approx (+ (* (* y x) -1/2) z) z) |
#s(approx (+ (* (* y x) -1/2) z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z)) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) (*.f64 z y)) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) (*.f64 z y))) |
#s(approx (+ (* -1/2 x) (/ z y)) (/.f64 z y)) |
#s(approx (+ (* -1/2 x) (/ z y)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
#s(approx (* x (cos y)) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (*.f64 (cos.f64 y) x)) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (cos.f64 y)) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* y x) -1/2) z) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))) |
#s(approx (+ (* (* y x) -1/2) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) x)) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (/.f64 (*.f64 z y) x)) x)) |
#s(approx (+ (* -1/2 x) (/ z y)) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (+ (* -1/2 x) (/ z y)) (*.f64 (-.f64 (/.f64 z (*.f64 y x)) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) (neg.f64 (cos.f64 y))) x))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (neg.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) (neg.f64 (cos.f64 y))) x))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (neg.f64 (/.f64 (*.f64 z y) x))) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (* y x) -1/2) z) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (neg.f64 z) x)) x))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) (neg.f64 (/.f64 (*.f64 z y) x))) x))) |
#s(approx (+ (* -1/2 x) (/ z y)) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 z) (*.f64 y x)) #s(literal 1/2 binary64)) x))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (neg.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) x) z)) (neg.f64 (cos.f64 y))) x))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) x) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 z y x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) x) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (fma.f64 z y x)) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y x)) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) #s(literal 1 binary64)) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 y (/.f64 z x) #s(literal 1 binary64))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (/.f64 z x)) y #s(literal 1 binary64))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 z y) x)) #s(literal 1/2 binary64)) y (/.f64 z x)) y #s(literal 1 binary64))) |
#s(approx (/ (sin y) x) (/.f64 y x)) |
#s(approx (/ (sin y) x) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) y)) |
#s(approx (/ (sin y) x) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x) (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) y)) |
#s(approx (/ (sin y) x) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 y y) (/.f64 #s(literal 1 binary64) 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 (*.f64 y y) #s(literal 1/120 binary64)) #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 y y) |
#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 (+ (* (+ (* (* y x) -1/2) z) y) x) x) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (fma.f64 z y x)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y x)) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)) |
#s(approx (+ (* -1/2 x) (/ z y)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)) |
#s(approx (/ z y) (/.f64 z y)) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) x) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 z y x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) y) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (- (* (* y y) 1/120) 1/6) #s(literal -1/6 binary64)) |
#s(approx (- (* (* y y) 1/120) 1/6) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
#s(approx (* (* y y) 1/120) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
#s(approx (* x (cos y)) x) |
#s(approx (* x (cos y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) |
#s(approx (* x (cos y)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) |
#s(approx (* x (cos y)) (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x)) |
#s(approx (* (sin y) z) (*.f64 z y)) |
#s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y)) |
#s(approx (* (sin y) z) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y)) |
#s(approx (* (sin y) z) (*.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) z)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y)) |
#s(approx (sin y) (sin.f64 y)) |
#s(approx (cos y) (cos.f64 y)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y) y)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (+.f64 (/.f64 x (*.f64 y y)) (/.f64 z y))) (*.f64 y y))) |
#s(approx (+ (* (* y x) -1/2) z) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y)) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) y) y)) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 5 binary64)))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (*.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 5 binary64)))) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64))) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
#s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (+.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y y)))) |
#s(approx (- (* (* y y) 1/120) 1/6) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
#s(approx (- (* (* y y) 1/120) 1/6) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y))) |
#s(approx (* (sin y) z) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (neg.f64 (/.f64 (+.f64 (neg.f64 z) (neg.f64 (/.f64 x y))) y))) (*.f64 y y))) |
#s(approx (+ (* (* y x) -1/2) z) (*.f64 (neg.f64 y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (neg.f64 z) y)))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 5 binary64))))) |
#s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (neg.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (pow.f64 y #s(literal 5 binary64))))) |
#s(approx z z) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (+.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) (*.f64 z y)) x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 (sin.f64 y) x)) z)) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x) z) y) z)) |
#s(approx (+ (* (* y x) -1/2) z) (*.f64 (fma.f64 (/.f64 (*.f64 y x) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z)) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) z) #s(literal -1/2 binary64) y) z)) |
#s(approx (+ (* -1/2 x) (/ z y)) (*.f64 (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) z)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (neg.f64 z) (+.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 y) x) z)) (neg.f64 (sin.f64 y))))) |
#s(approx (* (+ (* (/ (sin y) x) z) (cos y)) x) (*.f64 (neg.f64 z) (+.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 y) x) z)) (neg.f64 (sin.f64 y))))) |
#s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 (sin.f64 y)) x) (/.f64 (neg.f64 (cos.f64 y)) z)))) |
#s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (neg.f64 z) (+.f64 (neg.f64 y) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64) x) z))))) |
#s(approx (+ (* (* y x) -1/2) z) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 (*.f64 y x) z) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) z) #s(literal 1/2 binary64) (neg.f64 y)))) |
#s(approx (+ (* -1/2 x) (/ z y)) (*.f64 (neg.f64 z) (-.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (neg.f64 z) (+.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 y) x) z)) (neg.f64 (sin.f64 y))))) |
Compiled 4 292 to 1 523 computations (64.5% saved)
33 alts after pruning (24 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 306 | 12 | 318 |
| Fresh | 4 | 12 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 7 | 8 |
| Total | 314 | 33 | 347 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
| ✓ | 78.6% | (fma.f64 (sin.f64 y) z #s(approx (* x (cos y)) x)) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
| 55.0% | (fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) | |
| 38.8% | (fma.f64 #s(approx (sin y) (*.f64 #s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64))) y)) z #s(approx (* x (cos y)) x)) | |
| 38.8% | (fma.f64 #s(approx (sin y) #s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)))) z #s(approx (* x (cos y)) x)) | |
| 46.8% | (/.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 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) | |
| 36.1% | (/.f64 (-.f64 (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) 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 #s(approx (* x (cos y)) x) (*.f64 (sin.f64 y) z))) | |
| ✓ | 78.7% | (+.f64 (*.f64 (sin.f64 y) z) #s(approx (* x (cos y)) x)) |
| 55.0% | (+.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y)) #s(approx (* x (cos y)) x)) | |
| 89.0% | #s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) | |
| 89.1% | #s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (neg.f64 z) (+.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 y) x) z)) (neg.f64 (sin.f64 y))))) | |
| 60.6% | #s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (cos.f64 y) x)) | |
| 39.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))) y x)) | |
| ✓ | 55.5% | #s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) z) y x)) |
| ✓ | 41.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
| 35.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) z)) x)) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) | |
| ✓ | 19.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) y) z)) |
| 4.0% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))) | |
| 3.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))) | |
| 9.3% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 #s(approx (+ (* -1/2 x) (/ z y)) (/.f64 z y)) (*.f64 y y)))) | |
| 6.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 #s(approx (+ (* -1/2 x) (/ z y)) (*.f64 (-.f64 (/.f64 z (*.f64 y x)) #s(literal 1/2 binary64)) x)) (*.f64 y y)))) | |
| 18.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)))) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z (*.f64 #s(literal -1/6 binary64) z)) y) y z) y))) | |
| 18.8% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 z y)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) | |
| ✓ | 18.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) |
| 18.7% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z)) (*.f64 y y) z) y))) | |
| 3.1% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 #s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) z) #s(literal 1/120 binary64))) y))) | |
| 2.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 #s(approx (+ (* (* (* y y) z) -1/6) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y))) | |
| 2.9% | #s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) #s(approx (* (+ (* (* (* y y) z) -1/6) z) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) z) #s(literal -1/6 binary64))))) | |
| ✓ | 40.2% | #s(approx (+ (* x (cos y)) (* z (sin y))) x) |
Compiled 1 104 to 836 computations (24.3% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 #s(approx (+ (* -1/2 x) (/ z y)) (/.f64 z y)) (*.f64 y y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) #s(approx (* (+ (* (* (* y y) z) -1/6) z) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) z) #s(literal -1/6 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 #s(approx (+ (* (* (* y y) z) -1/6) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (*.f64 y y)))) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(+.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y)) #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 #s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) z) #s(literal 1/120 binary64))) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 #s(approx (+ (* -1/2 x) (/ z y)) (*.f64 (-.f64 (/.f64 z (*.f64 y x)) #s(literal 1/2 binary64)) x)) (*.f64 y y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z)) (*.f64 y y) z) y))) |
(fma.f64 #s(approx (sin y) (*.f64 #s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64))) y)) z #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) |
(fma.f64 #s(approx (sin y) #s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)))) z #s(approx (* x (cos y)) x)) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z (*.f64 #s(literal -1/6 binary64) z)) y) y z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 z y)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 z #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 (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z #s(approx (* x (cos y)) x)) |
(+.f64 (*.f64 (sin.f64 y) z) #s(approx (* x (cos y)) x)) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 z (sin.f64 y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) z)) x)) |
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (sin.f64 y)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y)) x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (+.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 z) (+.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 y) x) z)) (neg.f64 (sin.f64 y))))) |
(/.f64 (-.f64 (*.f64 #s(approx (* x (cos y)) x) #s(approx (* x (cos y)) 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 #s(approx (* x (cos y)) x) (*.f64 (sin.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 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 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) |
4 calls:
| 14.0ms | x |
| 14.0ms | z |
| 13.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (cos y)) (* z (sin y))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 #s(approx (+ (* -1/2 x) (/ z y)) (/.f64 z y)) (*.f64 y y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) #s(approx (* (+ (* (* (* y y) z) -1/6) z) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) z) #s(literal -1/6 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 #s(approx (+ (* (* (* y y) z) -1/6) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (*.f64 y y)))) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(+.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y)) #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 #s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) z) #s(literal 1/120 binary64))) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 #s(approx (+ (* -1/2 x) (/ z y)) (*.f64 (-.f64 (/.f64 z (*.f64 y x)) #s(literal 1/2 binary64)) x)) (*.f64 y y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z)) (*.f64 y y) z) y))) |
(fma.f64 #s(approx (sin y) (*.f64 #s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64))) y)) z #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) |
(fma.f64 #s(approx (sin y) #s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)))) z #s(approx (* x (cos y)) x)) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z (*.f64 #s(literal -1/6 binary64) z)) y) y z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 z y)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 z #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 (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z #s(approx (* x (cos y)) x)) |
(+.f64 (*.f64 (sin.f64 y) z) #s(approx (* x (cos y)) x)) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 z (sin.f64 y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (* (/ (sin y) x) z) (cos y)) (*.f64 (/.f64 (sin.f64 y) x) z)) x)) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (sin.f64 y) z) #s(approx (* x (cos y)) x)) |
4 calls:
| 11.0ms | z |
| 11.0ms | x |
| 10.0ms | y |
| 10.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 2 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 88.8% | 3 | x |
| 84.2% | 4 | y |
| 90.5% | 3 | z |
Compiled 11 to 17 computations (-54.5% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 #s(approx (+ (* -1/2 x) (/ z y)) (/.f64 z y)) (*.f64 y y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) #s(approx (* (+ (* (* (* y y) z) -1/6) z) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) z) #s(literal -1/6 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 #s(approx (+ (* (* (* y y) z) -1/6) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (*.f64 y y)))) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(+.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y)) #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 #s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) z) #s(literal 1/120 binary64))) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 #s(approx (+ (* -1/2 x) (/ z y)) (*.f64 (-.f64 (/.f64 z (*.f64 y x)) #s(literal 1/2 binary64)) x)) (*.f64 y y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z)) (*.f64 y y) z) y))) |
(fma.f64 #s(approx (sin y) (*.f64 #s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64))) y)) z #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) |
(fma.f64 #s(approx (sin y) #s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)))) z #s(approx (* x (cos y)) x)) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z (*.f64 #s(literal -1/6 binary64) z)) y) y z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 z y)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 z #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 (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z #s(approx (* x (cos y)) x)) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) z #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z #s(approx (* x (cos y)) x)) |
1 calls:
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 3 | z |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 #s(approx (+ (* -1/2 x) (/ z y)) (/.f64 z y)) (*.f64 y y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) #s(approx (* (+ (* (* (* y y) z) -1/6) z) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) z) #s(literal -1/6 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 #s(approx (+ (* (* (* y y) z) -1/6) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (*.f64 y y)))) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(+.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y)) #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 #s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) z) #s(literal 1/120 binary64))) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 #s(approx (+ (* -1/2 x) (/ z y)) (*.f64 (-.f64 (/.f64 z (*.f64 y x)) #s(literal 1/2 binary64)) x)) (*.f64 y y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z)) (*.f64 y y) z) y))) |
(fma.f64 #s(approx (sin y) (*.f64 #s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64))) y)) z #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) |
(fma.f64 #s(approx (sin y) #s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)))) z #s(approx (* x (cos y)) x)) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z (*.f64 #s(literal -1/6 binary64) z)) y) y z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 z y)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 z #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 (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (+ (* (sin y) z) (* x (cos y))) (*.f64 (cos.f64 y) x)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
4 calls:
| 10.0ms | y |
| 9.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 9.0ms | z |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.2% | 3 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 82.2% | 4 | y |
| 75.0% | 3 | x |
| 75.3% | 3 | z |
Compiled 11 to 17 computations (-54.5% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 #s(approx (+ (* -1/2 x) (/ z y)) (/.f64 z y)) (*.f64 y y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) #s(approx (* (+ (* (* (* y y) z) -1/6) z) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) z) #s(literal -1/6 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 #s(approx (+ (* (* (* y y) z) -1/6) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (*.f64 y y)))) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(+.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y)) #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 #s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) z) #s(literal 1/120 binary64))) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 #s(approx (+ (* -1/2 x) (/ z y)) (*.f64 (-.f64 (/.f64 z (*.f64 y x)) #s(literal 1/2 binary64)) x)) (*.f64 y y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z)) (*.f64 y y) z) y))) |
(fma.f64 #s(approx (sin y) (*.f64 #s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64))) y)) z #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) |
(fma.f64 #s(approx (sin y) #s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)))) z #s(approx (* x (cos y)) x)) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z (*.f64 #s(literal -1/6 binary64) z)) y) y z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 z y)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 z #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 (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
1 calls:
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.5% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 #s(approx (+ (* -1/2 x) (/ z y)) (/.f64 z y)) (*.f64 y y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) #s(approx (* (+ (* -1/2 x) (/ z y)) (* y y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y z) y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) (*.f64 (*.f64 x y) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (* y x) -1/2) z) (*.f64 (*.f64 y x) #s(literal -1/2 binary64))) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) #s(approx (* (+ (* (* (* y y) z) -1/6) z) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) z) #s(literal -1/6 binary64))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 #s(approx (+ (* (* (* y y) z) -1/6) z) (*.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) z)) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (*.f64 y y)))) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 z #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(+.f64 #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (*.f64 y y) z) #s(literal -1/6 binary64) z) y)) #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 #s(approx (+ (* (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (* y y)) z) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) z) #s(literal 1/120 binary64))) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 #s(approx (+ (* -1/2 x) (/ z y)) (*.f64 (-.f64 (/.f64 z (*.f64 y x)) #s(literal 1/2 binary64)) x)) (*.f64 y y)))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 #s(approx (+ (* 1/120 (* (* y y) z)) (* -1/6 z)) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z)) (*.f64 y y) z) y))) |
(fma.f64 #s(approx (sin y) (*.f64 #s(approx (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64))) y)) z #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y z) y x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) |
(fma.f64 #s(approx (sin y) #s(approx (* (+ (* (- (* (* y y) 1/120) 1/6) (* y y)) 1) y) (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/120 binary64)))) z #s(approx (* x (cos y)) x)) |
(fma.f64 #s(approx (sin y) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y)) z #s(approx (* x (cos y)) x)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) z (*.f64 #s(literal -1/6 binary64) z)) y) y z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 z y)) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) #s(approx (* z (sin y)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) z) (*.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) z) y))) |
(+.f64 #s(approx (* x (cos y)) x) (*.f64 z #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 (+ (* x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (* y x) -1/2) z) y) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 z y)) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #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)) z)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (fma.f64 z y x)) |
4 calls:
| 9.0ms | z |
| 8.0ms | x |
| 8.0ms | y |
| 8.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.5% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 55.5% | 1 | x |
| 55.5% | 1 | z |
| 55.5% | 1 | y |
Compiled 11 to 17 computations (-54.5% saved)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) x) |
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (sin y) y) z)) |
#s(approx (+ (* x (cos y)) (* z (sin y))) x) |
4 calls:
| 3.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.2% | 3 | x |
| 44.3% | 2 | z |
| 40.2% | 1 | y |
| 40.2% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 11 to 17 computations (-54.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) x) |
| Outputs |
|---|
#s(approx (+ (* x (cos y)) (* z (sin y))) x) |
3 calls:
| 1.0ms | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.2% | 1 | (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 40.2% | 1 | x |
| 40.2% | 1 | z |
Compiled 10 to 14 computations (-40% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.795329386404249e-60 | 9.761541926468653e-60 |
| 17.0ms | -1.0649701787632357e-121 | -1.7474331091669515e-127 |
| 19.0ms | 240× | 0 | valid |
Compiled 303 to 335 computations (-10.6% saved)
ival-cos: 5.0ms (37.5% of total)ival-sin: 5.0ms (37.5% of total)ival-mult!: 2.0ms (15% 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 |
|---|---|---|
| 0.0ms | 1.795329386404249e-60 | 9.761541926468653e-60 |
| 1.0ms | -1.0649701787632357e-121 | -1.7474331091669515e-127 |
Compiled 297 to 329 computations (-10.8% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 4.066550208365614e-9 | 5.675073084340974e-7 |
| 18.0ms | -4143085764547.424 | -0.10947023254950795 |
| 19.0ms | -2.3163552469978456e+94 | -1.0101970243591406e+90 |
| 31.0ms | 400× | 0 | valid |
Compiled 681 to 716 computations (-5.1% saved)
ival-cos: 9.0ms (41.9% of total)ival-sin: 7.0ms (32.6% of total)ival-mult!: 4.0ms (18.6% of total)ival-add!: 1.0ms (4.7% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 5.675073084340974e-7 | 512.7176387239912 |
| 16.0ms | -0.10947023254950795 | -1.2201108064690303e-8 |
| 18.0ms | 288× | 0 | valid |
Compiled 444 to 482 computations (-8.6% saved)
ival-mult!: 6.0ms (52.2% of total)ival-cos: 3.0ms (26.1% of total)ival-sin: 2.0ms (17.4% of total)ival-add!: 1.0ms (8.7% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | -6.001026400520248e+190 | -1.8659118916118104e+183 |
| 13.0ms | 144× | 0 | valid |
Compiled 201 to 212 computations (-5.5% saved)
ival-cos: 5.0ms (54% of total)ival-sin: 3.0ms (32.4% of total)ival-mult!: 1.0ms (10.8% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | fuel |
Compiled 103 to 65 computations (36.9% saved)
Compiled 111 to 73 computations (34.2% saved)
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