
Time bar (total: 3.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 49.6% | 49.6% | 50.4% | 0% | 0% | 0% | 0% | 9 |
| 49.8% | 49.8% | 50.2% | 0% | 0% | 0% | 0% | 10 |
| 49.9% | 49.9% | 50.1% | 0% | 0% | 0% | 0% | 11 |
| 50% | 49.9% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 18 to 13 computations (27.8% saved)
| 1.1s | 8 256× | 0 | valid |
ival-sin: 526.0ms (70.6% of total)ival-mult!: 145.0ms (19.5% of total)ival-div!: 73.0ms (9.8% of total)adjust: 2.0ms (0.3% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 45 |
| 1 | 60 | 33 |
| 2 | 271 | 33 |
| 3 | 1596 | 28 |
| 4 | 6782 | 28 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.3% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(negabs x)
Compiled 28 to 22 computations (21.4% saved)
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
#s(literal 8 binary64) |
#s(literal 3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 4/3 x))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2)))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (sin (* 1/2 x))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x)) |
| 2.0ms | x | @ | -inf | ((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x)) |
| 1.0ms | x | @ | 0 | ((/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (/ 8 3) (sin (* x 1/2))) (/ 8 3) 8 3 (sin (* x 1/2)) (* x 1/2) x 1/2 (sin x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 531 |
| 0 | 161 | 495 |
| 1 | 869 | 495 |
| 2 | 6875 | 495 |
| 0 | 8298 | 465 |
| 1 | 24680 | 465 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
#s(literal 8 binary64) |
#s(literal 3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 4/3 x))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2)))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (sin (* 1/2 x))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) #s(literal 1 binary64)) (sin.f64 x)) |
(/.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(neg.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) (sin.f64 x))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
#s(literal 8/3 binary64) |
#s(literal 8 binary64) |
#s(literal 3 binary64) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 4/3 binary64)) x)) |
#s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) x) x #s(literal 1/2 binary64)) x)) |
#s(approx x x) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x #s(literal 1 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
#s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (sin x) (sin.f64 x)) |
Compiled 586 to 224 computations (61.8% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 35 | 19 | 54 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 36 | 19 | 55 |
| Status | Accuracy | Program |
|---|---|---|
| 52.6% | (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (sin.f64 x)) | |
| 29.1% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) x) x #s(literal 1/2 binary64)) x))) #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) x) x #s(literal 1/2 binary64)) x))) (sin.f64 x)) | |
| 28.8% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) | |
| 76.3% | (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 28.2% | (/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 27.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) | |
| ▶ | 28.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
| 52.6% | (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| ▶ | 99.3% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| ▶ | 52.6% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
| ▶ | 52.6% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| 52.6% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))) | |
| 99.3% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x))) | |
| 99.2% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) | |
| 99.3% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) | |
| 51.3% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| 51.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x)) | |
| 51.3% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) | |
| ▶ | 51.3% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Compiled 630 to 552 computations (12.4% saved)
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sin.f64 x) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
#s(literal 8/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
#s(literal 2/3 binary64) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 x x) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(/.f64 #s(literal 1 binary64) (sin.f64 x)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) |
| Outputs |
|---|
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 1/2)) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 4/3 x))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 1)) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 x))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* 1/6 (pow x 2))) x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x)))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2)))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x)))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x)))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 (sin x)))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* 8/3 (- 1/2 (* 1/2 (cos x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (/ 8/3 (sin x)) (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) 1 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) |
| 4.0ms | x | @ | -inf | ((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (/ 8/3 (sin x)) (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) 1 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) |
| 4.0ms | x | @ | 0 | ((* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (sin x)) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (sin x) (* (sin (* 1/2 x)) 8/3) 8/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (/ 8/3 (sin x)) (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) 1 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 310 | 1244 |
| 0 | 348 | 1132 |
| 1 | 1897 | 1132 |
| 0 | 8196 | 1066 |
| 1 | 24937 | 1066 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sin.f64 x) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
#s(literal 8/3 binary64) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
#s(literal 2/3 binary64) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 x x) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(/.f64 #s(literal 1 binary64) (sin.f64 x)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 1/2)) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 4/3 x))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 1)) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 x))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* 1/6 (pow x 2))) x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x)))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2)))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x)))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x))) |
#s(approx (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x)))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 (sin x)))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* 8/3 (- 1/2 (* 1/2 (cos x)))))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 (neg.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sin.f64 x) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(literal 8/3 binary64) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
(*.f64 x #s(literal 2/3 binary64)) |
#s(literal 2/3 binary64) |
(*.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) (neg.f64 (sin.f64 x))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 2/3 binary64)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(fabs.f64 (neg.f64 (*.f64 x x))) |
(fabs.f64 (*.f64 x x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (fabs.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(neg.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(fabs.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(fabs.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) |
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 (*.f64 #s(literal 1 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)))) |
(cos.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(cos.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(cos.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x))) |
(cos.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(cos.f64 (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
#s(literal 2 binary64) |
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 x))) |
(/.f64 #s(literal 8/3 binary64) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(pow.f64 (sin.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (sin.f64 x)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (*.f64 x x) #s(literal 5/768 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx x x) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)) |
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) |
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) |
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(literal 1 binary64)) |
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)) |
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)) |
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/135 binary64) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x)) |
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/5670 binary64) (*.f64 x x) #s(literal 7/135 binary64)) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x)) |
#s(approx (/ 1 (sin x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
#s(approx (sin (* 1/2 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
#s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) |
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
#s(approx (/ 1 (sin x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
Compiled 1 930 to 734 computations (62% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 204 | 16 | 220 |
| Fresh | 7 | 7 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 213 | 26 | 239 |
| Status | Accuracy | Program |
|---|---|---|
| 76.3% | (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 27.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x)) | |
| 27.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) | |
| ✓ | 28.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
| 27.7% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) | |
| ▶ | 28.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x)) |
| 76.3% | (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 52.6% | (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| ✓ | 99.3% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| 76.2% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) | |
| ▶ | 52.6% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64))) |
| 52.6% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))) | |
| 5.2% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) | |
| 52.6% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 4.4% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) #s(literal 1 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 52.6% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) | |
| ▶ | 99.2% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
| 55.5% | (*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) | |
| ▶ | 5.2% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
| 28.8% | (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 28.7% | (*.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) | |
| 51.3% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| 51.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x)) | |
| ▶ | 51.3% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
| ✓ | 51.3% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
| 52.6% | #s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))) |
Compiled 834 to 772 computations (7.4% saved)
| Inputs |
|---|
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
#s(literal 8/3 binary64) |
(/.f64 #s(literal 1 binary64) (sin.f64 x)) |
#s(literal 1 binary64) |
(sin.f64 x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(*.f64 x x) |
#s(literal 1/18 binary64) |
#s(literal 2/3 binary64) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) |
(*.f64 x (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x))) |
#s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) |
(cos.f64 x) |
| Outputs |
|---|
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 4/3)) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2))))) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))))) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 4/3 x))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* 1/6 (pow x 2))) x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 2/3)) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (+ 2/3 (* 1/18 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x))))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 (sin x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 1/18 (pow x 3)))) |
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* 1/18 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2)))) |
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x))))) |
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) #s(hole binary64 (* 1/6 x))) |
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1/6 (/ 1 (pow x 2)))))) |
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* 8/3 (- 1/2 (* 1/2 (cos x)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x)))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (* (sin (* 1/2 x)) 8/3) 8/3 (/ 1 (sin x)) 1 (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* x (* 2/3 x)) (* 2/3 x) (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) 1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (cos x)) |
| 4.0ms | x | @ | -inf | ((* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (* (sin (* 1/2 x)) 8/3) 8/3 (/ 1 (sin x)) 1 (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* x (* 2/3 x)) (* 2/3 x) (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) 1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (cos x)) |
| 3.0ms | x | @ | 0 | ((* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (* (sin (* 1/2 x)) 8/3) 8/3 (/ 1 (sin x)) 1 (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) 1/18 2/3 (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* x (* 2/3 x)) (* 2/3 x) (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) 1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (cos x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 1489 |
| 0 | 364 | 1332 |
| 1 | 1908 | 1332 |
| 0 | 8775 | 1271 |
| 1 | 26135 | 1271 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
#s(literal 8/3 binary64) |
(/.f64 #s(literal 1 binary64) (sin.f64 x)) |
#s(literal 1 binary64) |
(sin.f64 x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(*.f64 x x) |
#s(literal 1/18 binary64) |
#s(literal 2/3 binary64) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) |
(*.f64 x (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 2 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x))) |
#s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) |
(cos.f64 x) |
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 4/3)) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2))))) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))))) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 4/3 x))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* 1/6 (pow x 2))) x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 2/3)) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (+ 2/3 (* 1/18 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (* (sin (* 1/2 x)) (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x))))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x))))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 (sin x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 1/18 (pow x 3)))) |
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* 1/18 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))))) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2)))) |
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x))))) |
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) #s(hole binary64 (* 1/6 x))) |
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1/6 (/ 1 (pow x 2)))))) |
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* 8/3 (- 1/2 (* 1/2 (cos x)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x)))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(literal 1 binary64)) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(literal 8/3 binary64) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(pow.f64 (sin.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (sin.f64 x)) |
#s(literal 1 binary64) |
(sin.f64 x) |
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
(fma.f64 #s(literal 2/3 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))) |
(fma.f64 #s(literal 2/3 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x)) |
(fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))) |
(fma.f64 x #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x)) |
(+.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))) |
(+.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x)) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal -2/3 binary64)) |
(-.f64 #s(literal 2/3 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))) |
(-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -1/18 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) |
(+.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(fabs.f64 (neg.f64 (*.f64 x x))) |
(fabs.f64 (*.f64 x x)) |
#s(literal 1/18 binary64) |
#s(literal 2/3 binary64) |
(*.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x))) (neg.f64 (sin.f64 x))) |
(/.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) (sin.f64 x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 #s(literal 2/3 binary64) x) x)) |
(*.f64 (*.f64 #s(literal 2/3 binary64) x) x) |
(*.f64 x (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
(*.f64 x #s(literal 2/3 binary64)) |
(*.f64 (*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))) |
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x x)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(literal 1/6 binary64) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (fabs.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(neg.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(fabs.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(fabs.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) |
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 (*.f64 #s(literal 1 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)))) |
(cos.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(cos.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(cos.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x))) |
(cos.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(cos.f64 (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) x) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (sin.f64 x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)))) |
(neg.f64 (-.f64 (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x))) |
#s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 (fabs.f64 x))) |
(cos.f64 (fabs.f64 (fabs.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 (fabs.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx x x) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(literal 4/3 binary64)) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 4/3 binary64))) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/34560 binary64) (*.f64 x x) #s(literal 5/288 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))) |
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 #s(literal 4/3 binary64) x)) |
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)) |
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) |
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)) |
#s(approx (/ 1 (sin x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(literal 2/3 binary64)) |
#s(approx (+ (* (* x x) 1/18) 2/3) (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) |
#s(approx (+ (* 1/6 (* x x)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* 1/6 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))) |
#s(approx (sin (* 1/2 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))) |
#s(approx (* (sin (* 1/2 x)) 8/3) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (/ 1 (sin x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/18 binary64))) |
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) |
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))) |
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (+ (* 1/6 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
#s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) |
Compiled 2 255 to 1 037 computations (54% saved)
39 alts after pruning (33 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 237 | 19 | 256 |
| Fresh | 4 | 14 | 18 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 243 | 39 | 282 |
| Status | Accuracy | Program |
|---|---|---|
| 76.3% | (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 27.8% | (/.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x)) | |
| 27.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) | |
| ✓ | 28.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
| 27.7% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) | |
| ✓ | 28.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x)) |
| 27.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) | |
| 76.3% | (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 52.6% | (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) | |
| ✓ | 99.3% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| 76.2% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) | |
| ✓ | 52.6% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64))) |
| 52.6% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))) | |
| 5.2% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) | |
| 52.6% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 4.4% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) #s(literal 1 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 52.6% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) | |
| ▶ | 99.1% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))) |
| 51.3% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))) | |
| 55.5% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(literal 4/3 binary64))) | |
| 5.2% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) | |
| 28.6% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) | |
| 5.2% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) | |
| 5.2% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) | |
| 5.2% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))) | |
| 3.6% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) | |
| ▶ | 28.0% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
| 27.9% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 8/3 binary64))) | |
| ▶ | 4.5% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
| 5.2% | (*.f64 #s(approx (/ 1 (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) | |
| 4.6% | (*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) | |
| 28.8% | (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 51.3% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| 51.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x)) | |
| ✓ | 51.3% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
| ▶ | 26.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
| ✓ | 51.3% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
| 18.5% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) x)))) | |
| ▶ | 52.6% | #s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))) |
Compiled 1 413 to 1 343 computations (5% saved)
| Inputs |
|---|
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
#s(literal 8/3 binary64) |
(/.f64 #s(literal 1 binary64) (sin.f64 x)) |
#s(literal 1 binary64) |
(sin.f64 x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
(*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x) |
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) |
(*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x)) |
(+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) |
(/.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
#s(literal 2/3 binary64) |
(*.f64 x x) |
#s(literal 1/18 binary64) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) |
#s(literal -1/48 binary64) |
#s(literal 1/4 binary64) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
#s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) |
(/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x) |
#s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 2 binary64) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
(cos.f64 x) |
| Outputs |
|---|
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 4/3)) |
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2))))) |
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))))) |
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))))) |
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ 8/3 x))) |
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x))) |
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x))) |
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* 1/6 (pow x 2))) x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 2/3)) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (+ 2/3 (* 1/18 (pow x 2))))) |
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(hole binary64 (/ 2/3 (pow x 2)))) |
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(hole binary64 (/ (+ 2/3 (* 1/18 (pow x 2))) (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))))) |
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(hole binary64 1/4)) |
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow x 2))))) |
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x))))) |
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ 8/3 (sin x)))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 (sin x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 1/18 (pow x 3)))) |
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* 1/18 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))))) |
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(hole binary64 1/18)) |
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(hole binary64 (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))) |
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x))))) |
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) #s(hole binary64 (* 1/6 x))) |
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1/6 (/ 1 (pow x 2)))))) |
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* 8/3 (- 1/2 (* 1/2 (cos x)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x))))) |
#s(approx (* (+ (* -1/48 (* x x)) 1/4) (* x x)) #s(hole binary64 (* -1/48 (pow x 4)))) |
#s(approx (* (+ (* -1/48 (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 1/48)))) |
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(hole binary64 (* -1/48 (pow x 2)))) |
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(hole binary64 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/48)))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x)))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) (sin (* x 1/2)) (* x 1/2) (* 8/3 (/ 1 (sin x))) 8/3 (/ 1 (sin x)) 1 (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* (+ (/ 2/3 (* x x)) 1/18) (* x x)) (+ (/ 2/3 (* x x)) 1/18) (/ 2/3 (* x x)) 2/3 (* x x) 1/18 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) 1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* (+ (* -1/48 (* x x)) 1/4) (* x x)) (+ (* -1/48 (* x x)) 1/4) -1/48 1/4 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) (* (* x x) 1/6) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (* (- 1/2 (* (cos x) 1/2)) 8/3) (sin x)) (* (- 1/2 (* (cos x) 1/2)) 8/3) (- 1/2 (* (cos x) 1/2)) (* (cos x) 1/2) (cos x)) |
| 4.0ms | x | @ | -inf | ((* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) (sin (* x 1/2)) (* x 1/2) (* 8/3 (/ 1 (sin x))) 8/3 (/ 1 (sin x)) 1 (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* (+ (/ 2/3 (* x x)) 1/18) (* x x)) (+ (/ 2/3 (* x x)) 1/18) (/ 2/3 (* x x)) 2/3 (* x x) 1/18 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) 1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* (+ (* -1/48 (* x x)) 1/4) (* x x)) (+ (* -1/48 (* x x)) 1/4) -1/48 1/4 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) (* (* x x) 1/6) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (* (- 1/2 (* (cos x) 1/2)) 8/3) (sin x)) (* (- 1/2 (* (cos x) 1/2)) 8/3) (- 1/2 (* (cos x) 1/2)) (* (cos x) 1/2) (cos x)) |
| 3.0ms | x | @ | 0 | ((* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) (sin (* x 1/2)) (* x 1/2) (* 8/3 (/ 1 (sin x))) 8/3 (/ 1 (sin x)) 1 (sin x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* (+ (/ 2/3 (* x x)) 1/18) (* x x)) (+ (/ 2/3 (* x x)) 1/18) (/ 2/3 (* x x)) 2/3 (* x x) 1/18 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) 1/6 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* (+ (* -1/48 (* x x)) 1/4) (* x x)) (+ (* -1/48 (* x x)) 1/4) -1/48 1/4 (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (/ 1 (sin x)) (/ (+ (* 1/6 (* x x)) 1) x) (+ (* 1/6 (* x x)) 1) (* (* x x) 1/6) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (* 1/2 (cos (* 2 (* 1/2 x)))) (cos (* 2 (* 1/2 x))) (* 2 (* 1/2 x)) 2 (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/ (* (- 1/2 (* (cos x) 1/2)) 8/3) (sin x)) (* (- 1/2 (* (cos x) 1/2)) 8/3) (- 1/2 (* (cos x) 1/2)) (* (cos x) 1/2) (cos x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 362 | 1794 |
| 0 | 419 | 1619 |
| 1 | 2126 | 1619 |
| 0 | 8631 | 1535 |
| 1 | 26173 | 1535 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
#s(literal 8/3 binary64) |
(/.f64 #s(literal 1 binary64) (sin.f64 x)) |
#s(literal 1 binary64) |
(sin.f64 x) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
(*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x) |
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) |
(*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x)) |
(+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) |
(/.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
#s(literal 2/3 binary64) |
(*.f64 x x) |
#s(literal 1/18 binary64) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64)) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) |
#s(literal -1/48 binary64) |
#s(literal 1/4 binary64) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
#s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) |
(/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x) |
#s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 2 binary64) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
(cos.f64 x) |
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* 1/2 x))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/48 (pow x 2)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 4/3)) |
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2))))) |
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))))) |
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))))) |
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ 8/3 x))) |
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x))) |
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* 7/135 (pow x 2))))) x))) |
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ (+ 8/3 (* (pow x 2) (+ 4/9 (* (pow x 2) (+ 7/135 (* 31/5670 (pow x 2))))))) x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* 1/6 (pow x 2))) x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* 7/360 (pow x 2))))) x))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) x))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 2/3)) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (+ 2/3 (* 1/18 (pow x 2))))) |
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(hole binary64 (/ 2/3 (pow x 2)))) |
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(hole binary64 (/ (+ 2/3 (* 1/18 (pow x 2))) (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))))) |
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(hole binary64 1/4)) |
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(hole binary64 (+ 1/4 (* -1/48 (pow x 2))))) |
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2)))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x))))) |
#s(approx (* 8/3 (/ 1 (sin x))) #s(hole binary64 (/ 8/3 (sin x)))) |
#s(approx (/ 1 (sin x)) #s(hole binary64 (/ 1 (sin x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* 1/18 (pow x 3)))) |
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) #s(hole binary64 (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* 1/18 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(hole binary64 (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))))) |
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(hole binary64 1/18)) |
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(hole binary64 (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))) |
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x))))) |
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) #s(hole binary64 (* 1/6 x))) |
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1/6 (/ 1 (pow x 2)))))) |
#s(approx (+ (* 1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) #s(hole binary64 (* 8/3 (- 1/2 (* 1/2 (cos x)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) #s(hole binary64 (- 1/2 (* 1/2 (cos x))))) |
#s(approx (* (+ (* -1/48 (* x x)) 1/4) (* x x)) #s(hole binary64 (* -1/48 (pow x 4)))) |
#s(approx (* (+ (* -1/48 (* x x)) 1/4) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/4 (/ 1 (pow x 2))) 1/48)))) |
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(hole binary64 (* -1/48 (pow x 2)))) |
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(hole binary64 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/48)))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(hole binary64 (* 1/2 (cos x)))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 x))) |
(/.f64 #s(literal 8/3 binary64) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 #s(literal 8/3 binary64) (sin.f64 x)) |
#s(literal 8/3 binary64) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(pow.f64 (sin.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x)))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (sin.f64 x)) |
#s(literal 1 binary64) |
(sin.f64 x) |
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) (*.f64 x x))) x)) |
(*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) (*.f64 x x))) x) |
(*.f64 x #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) (*.f64 x x)))) |
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) x) x) |
(*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 2/3 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) (*.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x))) |
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 #s(literal 2/3 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) (*.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x))) |
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 2/3 binary64) (*.f64 x x)))) |
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) (*.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) (/.f64 #s(literal 2/3 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/18 binary64)) |
(fma.f64 (/.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1/18 binary64)) |
(fma.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) |
(fma.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) |
(-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) |
(-.f64 #s(literal 1/18 binary64) (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 #s(literal 1/18 binary64) (neg.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)))) |
(+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) |
(+.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 2/3 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 2/3 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(*.f64 (/.f64 #s(literal 2/3 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) |
(*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 2/3 binary64) x) x) |
(/.f64 #s(literal -2/3 binary64) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal 2/3 binary64) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
#s(literal 2/3 binary64) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(fabs.f64 (neg.f64 (*.f64 x x))) |
(fabs.f64 (*.f64 x x)) |
#s(literal 1/18 binary64) |
(*.f64 (*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x))) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x)) #s(literal 8/3 binary64)) #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x)) #s(literal 8/3 binary64))) |
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x) (*.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 x x)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(literal 1/6 binary64) |
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x)) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal -1/48 binary64) x) x #s(literal 1/4 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) |
(fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) #s(literal -1/4 binary64)) |
(-.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) |
(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) |
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) |
#s(literal -1/48 binary64) |
#s(literal 1/4 binary64) |
(*.f64 (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) |
(*.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (neg.f64 x)) |
(/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x) |
#s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (fabs.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(neg.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(fabs.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(fabs.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) |
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) |
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 (*.f64 #s(literal 1 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)))) |
(cos.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(cos.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(cos.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x))) |
(cos.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(cos.f64 (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1 binary64) x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) x) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
#s(literal 2 binary64) |
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(neg.f64 (-.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(*.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 x)) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 (fabs.f64 x))) |
(cos.f64 (fabs.f64 (fabs.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 (fabs.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
#s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (sin (* 1/2 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx x x) |
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) #s(literal 4/3 binary64)) |
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 4/3 binary64))) |
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))) |
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 61/34560 binary64) (*.f64 x x) #s(literal 5/288 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))) |
#s(approx (* 8/3 (/ 1 (sin x))) (/.f64 #s(literal 8/3 binary64) x)) |
#s(approx (* 8/3 (/ 1 (sin x))) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)) |
#s(approx (* 8/3 (/ 1 (sin x))) (/.f64 (fma.f64 (fma.f64 #s(literal 7/135 binary64) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x)) |
#s(approx (* 8/3 (/ 1 (sin x))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/5670 binary64) (*.f64 x x) #s(literal 7/135 binary64)) (*.f64 x x) #s(literal 4/9 binary64)) (*.f64 x x) #s(literal 8/3 binary64)) x)) |
#s(approx (/ 1 (sin x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) |
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* x x) 1/18) 2/3) #s(literal 2/3 binary64)) |
#s(approx (+ (* (* x x) 1/18) 2/3) (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
#s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) |
#s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) (*.f64 x x))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (+ (* 1/6 (* x x)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* 1/6 (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) x) x)) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) |
#s(approx (+ (* -1/48 (* x x)) 1/4) #s(literal 1/4 binary64)) |
#s(approx (+ (* -1/48 (* x x)) 1/4) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64))) |
#s(approx (* (* x x) 1/6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* 2 (* 1/2 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* (sin (* 1/2 x)) (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x))))) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))) |
#s(approx (sin (* 1/2 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (* (sin (* x 1/2)) (* 8/3 (/ 1 (sin x)))) (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))) |
#s(approx (* 8/3 (/ 1 (sin x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
#s(approx (/ 1 (sin x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/18 binary64))) |
#s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)))) |
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) |
#s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) (*.f64 x x))) |
#s(approx (+ (/ 2/3 (* x x)) 1/18) #s(literal 1/18 binary64)) |
#s(approx (+ (/ 2/3 (* x x)) 1/18) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64))) |
#s(approx (* (/ 1 (sin x)) (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (/ (+ (* 1/6 (* x x)) 1) x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (* 1/6 (* x x)) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* -1/48 (* x x)) 1/4) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/48 binary64))) |
#s(approx (* (+ (* -1/48 (* x x)) 1/4) (* x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* -1/48 (* x x)) 1/4) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) |
#s(approx (+ (* -1/48 (* x x)) 1/4) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
#s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) |
Compiled 2 924 to 1 496 computations (48.8% saved)
43 alts after pruning (36 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 275 | 19 | 294 |
| Fresh | 11 | 17 | 28 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 6 | 6 |
| Total | 290 | 43 | 333 |
| Status | Accuracy | Program |
|---|---|---|
| 76.3% | (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 27.8% | (/.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x)) | |
| 27.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) | |
| ✓ | 28.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
| 27.7% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) | |
| ✓ | 28.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x)) |
| 27.8% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) | |
| 76.3% | (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ✓ | 99.3% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| 76.2% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) | |
| ✓ | 52.6% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64))) |
| 52.6% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))) | |
| 52.6% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 4.4% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) #s(literal 1 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 52.6% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) | |
| 4.5% | (*.f64 (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) | |
| 51.3% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))) | |
| 55.5% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(literal 4/3 binary64))) | |
| 25.8% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) | |
| 27.9% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) | |
| 4.8% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) | |
| 4.5% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) | |
| 4.5% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) | |
| 4.5% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) | |
| 4.5% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64))) | |
| 3.6% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) | |
| 4.5% | (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) | |
| 4.5% | (*.f64 #s(approx (/ 1 (sin x)) (*.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) | |
| 4.6% | (*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) | |
| 4.3% | (*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) | |
| 28.8% | (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 51.1% | (*.f64 #s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))) | |
| 51.3% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) | |
| 51.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x)) | |
| ✓ | 51.3% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
| 26.4% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x)) | |
| 26.3% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (*.f64 x x))) x)) | |
| 26.8% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) x) x)) x)) | |
| 25.9% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 #s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (*.f64 x x))) x)) | |
| ✓ | 51.3% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
| 18.5% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64))))) | |
| ✓ | 52.6% | #s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))) |
| 52.6% | #s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))) |
Compiled 1 653 to 1 202 computations (27.3% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 #s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) x) x)) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 8/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) #s(literal 1 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) |
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x)) |
(/.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) x) x #s(literal 1/2 binary64)) x))) #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) x) x #s(literal 1/2 binary64)) x))) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
2 calls:
| 22.0ms | x |
| 17.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 99.3% | 1 | x |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 #s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) x) x)) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 8/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) #s(literal 1 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) |
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x)) |
(/.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) x) x #s(literal 1/2 binary64)) x))) #s(approx (sin (* x 1/2)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) x) x #s(literal 1/2 binary64)) x))) (sin.f64 x)) |
| Outputs |
|---|
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
2 calls:
| 78.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 32.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 99.3% | 2 | x |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 #s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) x) x)) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 8/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) #s(literal 1 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) |
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x)) |
(/.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64))) |
(/.f64 (*.f64 #s(approx (* (/ 8 3) (sin (* x 1/2))) (*.f64 #s(literal 4/3 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64)) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 #s(approx (sin (* 1/2 x)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
| Outputs |
|---|
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 1/2 x)) 8/3)) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 x))) |
1 calls:
| 18.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | x |
Compiled 1 to 1 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 #s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) x) x)) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 8/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(literal 4/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x (*.f64 x #s(literal 1 binary64))) (*.f64 x x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) #s(literal 1 binary64)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (sin (* x 1/2)) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)) |
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)))) #s(literal 8/3 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) (fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64)))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64))) |
(*.f64 (*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 1 binary64) (fabs.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 8/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) x) x #s(literal 2/3 binary64)) x) x)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x)) |
(/.f64 #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x))) (sin.f64 x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 8/3 binary64))) |
| Outputs |
|---|
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (* (sin (* 1/2 x)) 8/3) (/ 1 (sin x))) #s(literal 4/3 binary64))) |
2 calls:
| 16.0ms | x |
| 12.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.5% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 55.5% | 1 | x |
Compiled 15 to 12 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 #s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) x) x)) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 8/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x)) |
2 calls:
| 20.0ms | x |
| 5.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.4% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 51.4% | 1 | x |
Compiled 15 to 12 computations (20% saved)
Total -32.1b remaining (-103.1%)
Threshold costs -32.1b (-103.1%)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 #s(approx (+ (/ 2/3 (* x x)) 1/18) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64))))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal -1/18 binary64)) x) x)) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) #s(approx (* (+ (* (* x x) 1/18) 2/3) x) (*.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (*.f64 (*.f64 x x) x)))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) x) x) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(approx (+ (* (* x x) 1/18) 2/3) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2/3 binary64) #s(literal 1/18 binary64)) (*.f64 x x))) x)) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) 8/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 x (*.f64 #s(literal 2/3 binary64) x))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) #s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (/ 1 (sin x)) #s(approx (/ (+ (* 1/6 (* x x)) 1) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x))) #s(literal 8/3 binary64))) |
(*.f64 #s(approx (/ 1 (sin x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 8/3 binary64))) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
2 calls:
| 91.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.3% | 1 | x |
| 51.3% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 15 to 12 computations (20% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 0.00057687471880168 | 0.06594274900180908 |
| 3.0ms | 64× | 0 | valid |
Compiled 147 to 147 computations (0% saved)
ival-sin: 1.0ms (46% of total)ival-mult!: 1.0ms (46% of total)adjust: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 0.00057687471880168 | 0.06594274900180908 |
| 5.0ms | 96× | 0 | valid |
Compiled 313 to 302 computations (3.5% saved)
ival-sin: 2.0ms (61.2% of total)ival-mult!: 1.0ms (30.6% of total)adjust: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | fuel |
Compiled 101 to 68 computations (32.7% saved)
(negabs x)
Compiled 399 to 333 computations (16.5% saved)
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