
Time bar (total: 3.1s)
| 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: 542.0ms (60.5% of total)ival-mult!: 312.0ms (34.8% of total)ival-div!: 40.0ms (4.5% of total)adjust: 2.0ms (0.2% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 45 |
| 1 | 44 | 43 |
| 2 | 132 | 42 |
| 3 | 437 | 42 |
| 4 | 991 | 42 |
| 5 | 2098 | 42 |
| 6 | 4449 | 42 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.5% | (/.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 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin 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 | |
|---|---|---|---|---|
| 3.0ms | 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)) |
| 2.0ms | 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 | 151 | 542 |
| 0 | 163 | 506 |
| 1 | 810 | 506 |
| 0 | 6697 | 476 |
| 1× | iter-limit |
| 1× | iter-limit |
| 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 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin 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 (-.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 #s(literal 8/3 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)) (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 #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 (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 #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))) |
(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)))) |
(*.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) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) |
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(*.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 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx x x) |
#s(approx (sin 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 591 to 255 computations (56.9% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 16 | 64 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 49 | 16 | 65 |
| Status | Accuracy | Program |
|---|---|---|
| 51.3% | (/.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)) | |
| 54.8% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 76.5% | (/.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)) | |
| 29.4% | (/.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)) | |
| 29.9% | (/.f64 #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)) (sin.f64 x)) | |
| 28.6% | (/.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)) | |
| ▶ | 29.8% | (/.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)) |
| 51.4% | (*.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)) | |
| 99.2% | (*.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))) | |
| ▶ | 51.4% | (*.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))) |
| ▶ | 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))) |
| ▶ | 99.3% | (*.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)))) |
| 52.1% | #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)) | |
| 52.0% | #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)) | |
| 52.1% | #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)) | |
| ▶ | 52.1% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Compiled 528 to 472 computations (10.6% 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)) (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)) (sin.f64 x)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
#s(literal 8/3 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)) |
(*.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 (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 #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)) (sin.f64 x)) |
| Outputs |
|---|
#s(approx (* (sin (* 1/2 x)) (/ (* (sin (* 1/2 x)) 8/3) (sin x))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (sin (* 1/2 x)) (/ (* (sin (* 1/2 x)) 8/3) (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) (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) (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 (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (* (sin (* 1/2 x)) 8/3) (sin x)) #s(hole binary64 4/3)) |
#s(approx (/ (* (sin (* 1/2 x)) 8/3) (sin x)) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2))))) |
#s(approx (/ (* (sin (* 1/2 x)) 8/3) (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) (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 (sin 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 (* 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 (* 2/3 x) #s(hole binary64 (* 2/3 x))) |
#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) 2/3) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (- 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)) |
#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 (* 2 (* 1/2 x)) #s(hole binary64 x)) |
#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 (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (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 (* 1/2 x)) (sin x))) #s(hole binary64 4/3)) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2))))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (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)) (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)) (/ (* (sin (* 1/2 x)) 8/3) (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) (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 (sin x) #s(hole binary64 (sin x))) |
#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 (* (- 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 (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | inf | ((* (sin (* 1/2 x)) (/ (* (sin (* 1/2 x)) 8/3) (sin x))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (/ (* (sin (* 1/2 x)) 8/3) (sin x)) (* (sin (* 1/2 x)) 8/3) 8/3 (sin x) (/ (* (* (/ 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)) (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x))) |
| 8.0ms | x | @ | -inf | ((* (sin (* 1/2 x)) (/ (* (sin (* 1/2 x)) 8/3) (sin x))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (/ (* (sin (* 1/2 x)) 8/3) (sin x)) (* (sin (* 1/2 x)) 8/3) 8/3 (sin x) (/ (* (* (/ 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)) (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x))) |
| 7.0ms | x | @ | 0 | ((* (sin (* 1/2 x)) (/ (* (sin (* 1/2 x)) 8/3) (sin x))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (/ (* (sin (* 1/2 x)) 8/3) (sin x)) (* (sin (* 1/2 x)) 8/3) 8/3 (sin x) (/ (* (* (/ 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)) (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (/ (sin (* 1/2 x)) (sin x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 331 | 1768 |
| 0 | 367 | 1617 |
| 1 | 1737 | 1617 |
| 0 | 8307 | 1527 |
| 1× | iter-limit |
| 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)) (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)) (sin.f64 x)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
#s(literal 8/3 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)) |
(*.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 (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 #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)) (sin.f64 x)) |
#s(approx (* (sin (* 1/2 x)) (/ (* (sin (* 1/2 x)) 8/3) (sin x))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (sin (* 1/2 x)) (/ (* (sin (* 1/2 x)) 8/3) (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) (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) (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 (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (* (sin (* 1/2 x)) 8/3) (sin x)) #s(hole binary64 4/3)) |
#s(approx (/ (* (sin (* 1/2 x)) 8/3) (sin x)) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2))))) |
#s(approx (/ (* (sin (* 1/2 x)) 8/3) (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) (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 (sin 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 (* 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 (* 2/3 x) #s(hole binary64 (* 2/3 x))) |
#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) 2/3) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (- 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)) |
#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 (* 2 (* 1/2 x)) #s(hole binary64 x)) |
#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 (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (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 (* 1/2 x)) (sin x))) #s(hole binary64 4/3)) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* 1/6 (pow x 2))))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (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)) (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)) (/ (* (sin (* 1/2 x)) 8/3) (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) (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 (sin x) #s(hole binary64 (sin x))) |
#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 (* (- 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 (* (sin (* 1/2 x)) (* 8/3 (/ (sin (* 1/2 x)) (sin x)))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(hole binary64 (* 8/3 (/ (sin (* 1/2 x)) (sin x))))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(hole binary64 (/ (sin (* 1/2 x)) (sin x)))) |
| Outputs |
|---|
(*.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 (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 (/.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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 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 (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 -8/3 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (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 -8/3 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 (neg.f64 (sin.f64 x)) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (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 8/3 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (*.f64 (sin.f64 x) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 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))) (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 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))) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -8/3 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 8/3 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.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 (-.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)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (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 (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) |
(sin.f64 x) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.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 (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 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 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 (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)))) |
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(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 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))) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -8/3 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 8/3 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.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 (-.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 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) #s(literal 8/3 binary64)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))) (neg.f64 (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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 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)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 #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 (* 1/2 x) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx x x) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (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 (* 8/3 (/ (sin (* 1/2 x)) (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 (sin 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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (* 2/3 x) (*.f64 #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 (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) 2/3) (*.f64 (*.f64 x x) #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 (sin x))) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (- 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))) #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 (* 2 (* 1/2 x)) x) |
#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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64)) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (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 (* 8/3 (/ (sin (* 1/2 x)) (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)) (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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.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.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (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 (sin x) (sin.f64 x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.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 (* (* (/ 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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.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 (* 8/3 (/ (sin (* 1/2 x)) (sin x))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
#s(approx (/ (sin (* 1/2 x)) (sin x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))) |
Compiled 2 009 to 809 computations (59.7% saved)
32 alts after pruning (28 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 200 | 20 | 220 |
| Fresh | 3 | 8 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 204 | 32 | 236 |
| Status | Accuracy | Program |
|---|---|---|
| 51.4% | (/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 8/3 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))) (sin.f64 x))) | |
| 54.8% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 76.5% | (/.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)) | |
| 28.6% | (/.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)) | |
| 27.7% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2/3 binary64))) (sin.f64 x)) | |
| 29.9% | (/.f64 #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)) (sin.f64 x)) | |
| 28.6% | (/.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)) | |
| ✓ | 29.8% | (/.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)) |
| 28.6% | (/.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))) | |
| ▶ | 29.2% | (/.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) x)) |
| 27.7% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) (sin.f64 x)) | |
| 29.8% | (/.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)) | |
| 30.4% | (*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x))) | |
| 76.5% | (*.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))) | |
| ▶ | 51.4% | (*.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)) |
| 50.9% | (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 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 8/3 binary64) (sin.f64 x))) | |
| ▶ | 99.2% | (*.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))) |
| 50.6% | (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 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 8/3 binary64) (sin.f64 x))) | |
| 5.3% | (*.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) #s(approx (sin x) x))) | |
| ▶ | 5.1% | (*.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))) |
| 51.4% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| ▶ | 4.2% | (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| ✓ | 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))) |
| ✓ | 99.3% | (*.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)))) |
| 55.3% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64))) | |
| 52.7% | (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 29.7% | (*.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))) | |
| 52.1% | #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)) | |
| 52.0% | #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)) | |
| 52.1% | #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)) | |
| ✓ | 52.1% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
| 51.3% | #s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (sin.f64 x))) |
Compiled 1 071 to 961 computations (10.3% 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) |
(/.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) 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) |
#s(literal 2/3 binary64) |
#s(approx (sin x) x) |
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 8/3 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(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) 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) |
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x) |
(fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) |
#s(literal 4/9 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 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 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 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(cos.f64 (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) x) |
#s(literal 1 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 (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin 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))) (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 (* (* x x) 2/3) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (- 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 (/ 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 (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 (* 2 (* 1/2 x)) #s(hole binary64 x)) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) #s(hole binary64 (/ 8/3 x))) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x))) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(hole binary64 8/3)) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(hole binary64 (+ 8/3 (* 4/9 (pow x 2))))) |
#s(approx (* (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) 8/3) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin 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 (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* 1/4 x))) |
#s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2)))))) |
#s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))))) |
#s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))))) |
#s(approx (- 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (- 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (- 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (- 1/2 (* (cos (* 1 x)) 1/2)) #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 (* (cos (* 1 x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2))))) |
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))))) |
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))))) |
#s(approx (cos (* 1 x)) #s(hole binary64 1)) |
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (* 1 x) #s(hole binary64 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))) (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 (* (- 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 (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x)))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x))) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) #s(hole binary64 (* 4/9 x))) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) #s(hole binary64 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(hole binary64 (* 4/9 (pow x 2)))) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(hole binary64 (* (pow x 2) (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))) |
#s(approx (* (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) 8/3) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x))))) |
#s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))) |
#s(approx (- 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos x))))) |
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (* 1/2 (cos x)))) |
#s(approx (cos (* 1 x)) #s(hole binary64 (cos x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | 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)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) 2/3 (sin 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)))) (/ 8/3 (sin 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)) (/ (+ (* 4/9 (* x x)) 8/3) x) (+ (* 4/9 (* x x)) 8/3) 4/9 (* (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) 8/3) (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (- 1/2 (* (cos (* 1 x)) 1/2)) (* (cos (* 1 x)) 1/2) (cos (* 1 x)) (* 1 x) 1) |
| 3.0ms | 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)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) 2/3 (sin 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)))) (/ 8/3 (sin 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)) (/ (+ (* 4/9 (* x x)) 8/3) x) (+ (* 4/9 (* x x)) 8/3) 4/9 (* (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) 8/3) (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (- 1/2 (* (cos (* 1 x)) 1/2)) (* (cos (* 1 x)) 1/2) (cos (* 1 x)) (* 1 x) 1) |
| 2.0ms | 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)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (* x x) 2/3) (* x x) 2/3 (sin 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)))) (/ 8/3 (sin 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)) (/ (+ (* 4/9 (* x x)) 8/3) x) (+ (* 4/9 (* x x)) 8/3) 4/9 (* (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) 8/3) (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (- 1/2 (* (cos (* 1 x)) 1/2)) (* (cos (* 1 x)) 1/2) (cos (* 1 x)) (* 1 x) 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 370 | 2124 |
| 0 | 415 | 1883 |
| 1 | 1927 | 1883 |
| 0 | 8019 | 1780 |
| 1× | iter-limit |
| 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) |
(/.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) 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) |
#s(literal 2/3 binary64) |
#s(approx (sin x) x) |
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 8/3 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(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) 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) |
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x) |
(fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) |
#s(literal 4/9 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 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 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 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(cos.f64 (*.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) x) |
#s(literal 1 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 (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin 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))) (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 (* (* x x) 2/3) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (- 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 (/ 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 (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 (* 2 (* 1/2 x)) #s(hole binary64 x)) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) #s(hole binary64 (/ 8/3 x))) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x))) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(hole binary64 8/3)) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(hole binary64 (+ 8/3 (* 4/9 (pow x 2))))) |
#s(approx (* (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) 8/3) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) 8/3) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin 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 (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* 1/4 x))) |
#s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1/4 (* 1/48 (pow x 2)))))) |
#s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))))) |
#s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))))) |
#s(approx (- 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (- 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (- 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (- 1/2 (* (cos (* 1 x)) 1/2)) #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 (* (cos (* 1 x)) 1/2) #s(hole binary64 1/2)) |
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2))))) |
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))))) |
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))))) |
#s(approx (cos (* 1 x)) #s(hole binary64 1)) |
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos (* 1 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (* 1 x) #s(hole binary64 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))) (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 (* (- 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 (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x)))) |
#s(approx (cos (* 2 (* 1/2 x))) #s(hole binary64 (cos x))) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) #s(hole binary64 (* 4/9 x))) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) #s(hole binary64 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(hole binary64 (* 4/9 (pow x 2)))) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(hole binary64 (* (pow x 2) (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))) |
#s(approx (* (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) 8/3) #s(hole binary64 (* 8/3 (/ (- 1/2 (* 1/2 (cos x))) (sin x))))) |
#s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos x))) (sin x)))) |
#s(approx (- 1/2 (* (cos (* 1 x)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos x))))) |
#s(approx (* (cos (* 1 x)) 1/2) #s(hole binary64 (* 1/2 (cos x)))) |
#s(approx (cos (* 1 x)) #s(hole binary64 (cos x))) |
| Outputs |
|---|
(*.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 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 (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 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(*.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 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -8/3 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 8/3 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (neg.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1/2 binary64)) (sin.f64 x))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (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 (exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (log.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 (exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
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(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 x)) #s(literal 2 binary64)) |
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(neg.f64 (-.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
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(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.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 (cos.f64 x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 x)) |
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(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
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(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.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))))) |
x |
#s(literal 1 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)) |
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#s(approx (/ (sin (* 1/2 x)) (sin x)) #s(literal 1/2 binary64)) |
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#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))) |
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#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)) |
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#s(approx (* 1/2 x) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* 2 (* 1/2 x)) x) |
#s(approx (sin x) x) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
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#s(approx (* (* x x) 2/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
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#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))) |
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#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)) |
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#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)) |
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64)) x)) |
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#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 (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))) |
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#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 (* 2 (* 1/2 x)) x) |
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#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64)) x)) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(literal 8/3 binary64)) |
#s(approx (+ (* 4/9 (* x x)) 8/3) (fma.f64 (*.f64 x x) #s(literal 4/9 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)) |
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#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)) |
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#s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) |
#s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) |
#s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) |
#s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) |
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#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))) #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 (* 2 (* 1/2 x)) x) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 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 (/ (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 (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 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 (* (* (/ 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))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 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 (- 1/2 (* 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 (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
#s(approx (cos (* 2 (* 1/2 x))) (cos.f64 x)) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) (*.f64 #s(literal 4/9 binary64) x)) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) (*.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 x x)) #s(literal 4/9 binary64)) x)) |
#s(approx (+ (* 4/9 (* x x)) 8/3) (*.f64 (*.f64 x x) #s(literal 4/9 binary64))) |
#s(approx (+ (* 4/9 (* x x)) 8/3) (*.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 x x)) #s(literal 4/9 binary64)) (*.f64 x x))) |
#s(approx (* (/ (sin (* 1/2 x)) (sin x)) (* (sin (* 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 (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 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)) |
Compiled 3 103 to 1 197 computations (61.4% saved)
46 alts after pruning (40 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 266 | 22 | 288 |
| Fresh | 5 | 18 | 23 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 274 | 46 | 320 |
| Status | Accuracy | Program |
|---|---|---|
| 51.3% | (/.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)) | |
| 51.4% | (/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 8/3 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (sin.f64 x))) | |
| 54.8% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| ▶ | 76.5% | (/.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)) |
| 28.6% | (/.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)) | |
| 28.8% | (/.f64 #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 (sin x) x)) | |
| 27.7% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2/3 binary64))) (sin.f64 x)) | |
| ▶ | 27.2% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2/3 binary64))) #s(approx (sin x) x)) |
| 5.3% | (/.f64 #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))) #s(approx (sin x) x)) | |
| 29.9% | (/.f64 #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)) (sin.f64 x)) | |
| 28.6% | (/.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)) | |
| ✓ | 29.8% | (/.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)) |
| 28.6% | (/.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))) | |
| ✓ | 29.2% | (/.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) x)) |
| 27.7% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) (sin.f64 x)) | |
| 27.2% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) x)) | |
| 29.8% | (/.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)) | |
| 76.5% | (*.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))) | |
| ▶ | 29.6% | (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) |
| 30.3% | (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) | |
| 49.8% | (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 x))) #s(literal 8/3 binary64)) | |
| 51.3% | (*.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 2 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 8/3 binary64)) | |
| 51.4% | (*.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)) | |
| 50.9% | (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 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 8/3 binary64) (sin.f64 x))) | |
| ▶ | 99.3% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
| ✓ | 99.2% | (*.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))) |
| 51.4% | (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) | |
| 51.3% | (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64)) | |
| 50.6% | (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 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 8/3 binary64) (sin.f64 x))) | |
| 5.1% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64)) x))) | |
| 5.1% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) | |
| 5.1% | (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) | |
| 4.5% | (*.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)) #s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) (*.f64 #s(literal 4/9 binary64) x)))) | |
| ▶ | 4.2% | (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
| 99.2% | (*.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)) | |
| ✓ | 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))) |
| ✓ | 99.3% | (*.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)))) |
| 55.3% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64))) | |
| 52.7% | (*.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 52.1% | (*.f64 #s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) | |
| 52.1% | (*.f64 #s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) | |
| 29.7% | (*.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))) | |
| 52.1% | #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)) | |
| 52.0% | #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)) | |
| 52.1% | #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)) | |
| ✓ | 52.1% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
Compiled 1 502 to 1 358 computations (9.6% saved)
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) (*.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 2 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
#s(literal 2 binary64) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(cos.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
#s(literal 8/3 binary64) |
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
(-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)) |
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)) |
(/.f64 #s(literal 8/3 binary64) x) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2/3 binary64))) #s(approx (sin x) x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(exp.f64 (log.f64 x)) |
(log.f64 x) |
#s(literal 2/3 binary64) |
#s(approx (sin x) x) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x) |
(fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) |
#s(literal 4/9 binary64) |
(*.f64 x 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 (*.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) |
| Outputs |
|---|
#s(approx (* (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (* (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)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (* (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)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) #s(hole binary64 1/2)) |
#s(approx (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2))))) |
#s(approx (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))))) |
#s(approx (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) #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 (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) #s(hole binary64 x)) |
#s(approx (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (* (sin (* x 1/2)) (cos (* x 1/2))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (sin (* x 1/2)) (cos (* x 1/2))) #s(hole binary64 (* x (+ 1/2 (* -1/12 (pow x 2)))))) |
#s(approx (* (sin (* x 1/2)) (cos (* x 1/2))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12)))))) |
#s(approx (* (sin (* x 1/2)) (cos (* x 1/2))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/10080 (pow x 2)))) 1/12)))))) |
#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 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (cos (* x 1/2)) #s(hole binary64 1)) |
#s(approx (cos (* x 1/2)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2))))) |
#s(approx (cos (* x 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8))))) |
#s(approx (cos (* x 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8))))) |
#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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (- 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 (/ 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 (/ 8/3 x) #s(hole binary64 (/ 8/3 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 (* (pow (exp (log x)) 2) 2/3) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (pow (exp (log x)) 2) #s(hole binary64 (pow x 2))) |
#s(approx (exp (log x)) #s(hole binary64 x)) |
#s(approx (log x) #s(hole binary64 (log x))) |
#s(approx (sin 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 (* (pow (sin (* x 1/2)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (pow (sin (* x 1/2)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (pow (sin (* x 1/2)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (pow (sin (* x 1/2)) 2) (/ 8/3 (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 (pow (sin (* x 1/2)) 2) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (pow (sin (* x 1/2)) 2) #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 (/ (+ (* 4/9 (* x x)) 8/3) x) #s(hole binary64 (/ 8/3 x))) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x))) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(hole binary64 8/3)) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(hole binary64 (+ 8/3 (* 4/9 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x))) |
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (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 (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (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 (* (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))) |
#s(approx (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) #s(hole binary64 (/ 1/2 (cos (* 1/2 x))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 x)) (sin (* 1/2 x)))))) |
#s(approx (* (sin (* x 1/2)) (cos (* x 1/2))) #s(hole binary64 (* (cos (* 1/2 x)) (sin (* 1/2 x))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (cos (* x 1/2)) #s(hole binary64 (cos (* 1/2 x)))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x))))) |
#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 (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x)))) |
#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 (log x) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (pow (sin (* x 1/2)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2))) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) #s(hole binary64 (* 4/9 x))) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) #s(hole binary64 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(hole binary64 (* 4/9 (pow x 2)))) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(hole binary64 (* (pow x 2) (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))) |
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2)))) |
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | x | @ | 0 | ((* (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) 2 (* (sin (* x 1/2)) (cos (* x 1/2))) (sin (* x 1/2)) (* x 1/2) (cos (* x 1/2)) (* (sin (* 1/2 x)) 8/3) 8/3 (* (- 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)))) (/ 8/3 (sin x)) (/ 8/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (pow (exp (log x)) 2) 2/3) (pow (exp (log x)) 2) (exp (log x)) (log x) 2/3 (sin x) (* (pow (sin (* x 1/2)) 2) (/ 8/3 (sin x))) (pow (sin (* x 1/2)) 2) (/ 8/3 (sin x)) (/ (+ (* 4/9 (* x x)) 8/3) x) (+ (* 4/9 (* x x)) 8/3) 4/9 (* x x) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) |
| 20.0ms | x | @ | -inf | ((* (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) 2 (* (sin (* x 1/2)) (cos (* x 1/2))) (sin (* x 1/2)) (* x 1/2) (cos (* x 1/2)) (* (sin (* 1/2 x)) 8/3) 8/3 (* (- 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)))) (/ 8/3 (sin x)) (/ 8/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (pow (exp (log x)) 2) 2/3) (pow (exp (log x)) 2) (exp (log x)) (log x) 2/3 (sin x) (* (pow (sin (* x 1/2)) 2) (/ 8/3 (sin x))) (pow (sin (* x 1/2)) 2) (/ 8/3 (sin x)) (/ (+ (* 4/9 (* x x)) 8/3) x) (+ (* 4/9 (* x x)) 8/3) 4/9 (* x x) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) |
| 11.0ms | x | @ | inf | ((* (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (* (sin (* 1/2 x)) 8/3)) (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (sin (* 1/2 x)) (* 1/2 x) 1/2 x (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) 2 (* (sin (* x 1/2)) (cos (* x 1/2))) (sin (* x 1/2)) (* x 1/2) (cos (* x 1/2)) (* (sin (* 1/2 x)) 8/3) 8/3 (* (- 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)))) (/ 8/3 (sin x)) (/ 8/3 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (pow (exp (log x)) 2) 2/3) (pow (exp (log x)) 2) (exp (log x)) (log x) 2/3 (sin x) (* (pow (sin (* x 1/2)) 2) (/ 8/3 (sin x))) (pow (sin (* x 1/2)) 2) (/ 8/3 (sin x)) (/ (+ (* 4/9 (* x x)) 8/3) x) (+ (* 4/9 (* x x)) 8/3) 4/9 (* x x) (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 409 | 2553 |
| 0 | 455 | 2241 |
| 1 | 2024 | 2241 |
| 0 | 8440 | 2126 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) (*.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 2 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
#s(literal 2 binary64) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(cos.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
#s(literal 8/3 binary64) |
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
(-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64)) |
#s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)) |
(/.f64 #s(literal 8/3 binary64) x) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2/3 binary64))) #s(approx (sin x) x)) |
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2/3 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(exp.f64 (log.f64 x)) |
(log.f64 x) |
#s(literal 2/3 binary64) |
#s(approx (sin x) x) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) |
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x) |
(fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) |
#s(literal 4/9 binary64) |
(*.f64 x 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 (*.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) |
#s(approx (* (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (* (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)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (* (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)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) #s(hole binary64 1/2)) |
#s(approx (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) #s(hole binary64 (+ 1/2 (* 1/16 (pow x 2))))) |
#s(approx (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))))) |
#s(approx (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) #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 (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) #s(hole binary64 x)) |
#s(approx (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (* (sin (* x 1/2)) (cos (* x 1/2))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (sin (* x 1/2)) (cos (* x 1/2))) #s(hole binary64 (* x (+ 1/2 (* -1/12 (pow x 2)))))) |
#s(approx (* (sin (* x 1/2)) (cos (* x 1/2))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* 1/240 (pow x 2)) 1/12)))))) |
#s(approx (* (sin (* x 1/2)) (cos (* x 1/2))) #s(hole binary64 (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/240 (* -1/10080 (pow x 2)))) 1/12)))))) |
#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 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (cos (* x 1/2)) #s(hole binary64 1)) |
#s(approx (cos (* x 1/2)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2))))) |
#s(approx (cos (* x 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8))))) |
#s(approx (cos (* x 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8))))) |
#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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (- 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 (/ 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 (/ 8/3 x) #s(hole binary64 (/ 8/3 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 (* (pow (exp (log x)) 2) 2/3) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (pow (exp (log x)) 2) #s(hole binary64 (pow x 2))) |
#s(approx (exp (log x)) #s(hole binary64 x)) |
#s(approx (log x) #s(hole binary64 (log x))) |
#s(approx (sin 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 (* (pow (sin (* x 1/2)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* 2/3 x))) |
#s(approx (* (pow (sin (* x 1/2)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (* (pow (sin (* x 1/2)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (* (pow (sin (* x 1/2)) 2) (/ 8/3 (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 (pow (sin (* x 1/2)) 2) #s(hole binary64 (* 1/4 (pow x 2)))) |
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))))) |
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))))) |
#s(approx (pow (sin (* x 1/2)) 2) #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 (/ (+ (* 4/9 (* x x)) 8/3) x) #s(hole binary64 (/ 8/3 x))) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) #s(hole binary64 (/ (+ 8/3 (* 4/9 (pow x 2))) x))) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(hole binary64 8/3)) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(hole binary64 (+ 8/3 (* 4/9 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 2/3 x))) |
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* 1/18 (pow x 2)))))) |
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))))) |
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (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 (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))))) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))))) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (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 (* (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (* (sin (* 1/2 x)) 8/3)) #s(hole binary64 (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))) |
#s(approx (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) #s(hole binary64 (/ 1/2 (cos (* 1/2 x))))) |
#s(approx (sin (* 1/2 x)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) #s(hole binary64 (* 2 (* (cos (* 1/2 x)) (sin (* 1/2 x)))))) |
#s(approx (* (sin (* x 1/2)) (cos (* x 1/2))) #s(hole binary64 (* (cos (* 1/2 x)) (sin (* 1/2 x))))) |
#s(approx (sin (* x 1/2)) #s(hole binary64 (sin (* 1/2 x)))) |
#s(approx (cos (* x 1/2)) #s(hole binary64 (cos (* 1/2 x)))) |
#s(approx (* (sin (* 1/2 x)) 8/3) #s(hole binary64 (* 8/3 (sin (* 1/2 x))))) |
#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 (/ 8/3 (sin x)) #s(hole binary64 (/ 8/3 (sin x)))) |
#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 (log x) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (pow (sin (* x 1/2)) 2) (/ 8/3 (sin x))) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (pow (sin (* x 1/2)) 2) #s(hole binary64 (pow (sin (* 1/2 x)) 2))) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) #s(hole binary64 (* 4/9 x))) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) #s(hole binary64 (* x (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(hole binary64 (* 4/9 (pow x 2)))) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(hole binary64 (* (pow x 2) (+ 4/9 (* 8/3 (/ 1 (pow x 2))))))) |
#s(approx (/ (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) (sin x)) #s(hole binary64 (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))))) |
#s(approx (* (* (sin (* 1/2 x)) 8/3) (sin (* x 1/2))) #s(hole binary64 (* 8/3 (pow (sin (* 1/2 x)) 2)))) |
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x)))))) |
| Outputs |
|---|
(*.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 2 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 8/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.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 2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (cos.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))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 2 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)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 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 (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 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)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (*.f64 (cos.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))) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 #s(literal 2 binary64) (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))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 #s(literal 2 binary64) (cos.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))) (sin.f64 (*.f64 x #s(literal 1/2 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 2 binary64)) (/.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (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))) #s(literal 2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64)) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1 binary64) x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 8/3 binary64)) |
(*.f64 #s(literal 4/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 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 (*.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1 binary64) x))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))) |
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#s(literal 1/2 binary64) |
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#s(literal 2 binary64) |
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#s(literal 8/3 binary64) |
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x |
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(log.f64 x) |
#s(literal 2/3 binary64) |
#s(approx (sin x) x) |
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#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 (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 1/2) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (exp (log x)) x) |
#s(approx (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) x) |
#s(approx (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) (*.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 (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) (*.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 (* x 1/2)) (cos (* x 1/2))) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (sin (* x 1/2)) (cos (* x 1/2))) (*.f64 (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (* (sin (* x 1/2)) (cos (* x 1/2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (* (sin (* x 1/2)) (cos (* x 1/2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)) |
#s(approx (sin (* x 1/2)) (*.f64 x #s(literal 1/2 binary64))) |
#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 (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 1/2) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (cos (* x 1/2)) #s(literal 1 binary64)) |
#s(approx (cos (* x 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* x 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* x 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 x x) #s(literal 1/384 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (- 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 (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x)) |
#s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #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 (/ 8/3 x) (/.f64 #s(literal 8/3 binary64) x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (* (* (/ 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 (* (pow (exp (log x)) 2) 2/3) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) |
#s(approx (pow (exp (log x)) 2) (*.f64 x x)) |
#s(approx (exp (log x)) x) |
#s(approx (log x) (log.f64 x)) |
#s(approx (sin 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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (- 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 (/ (+ (* 4/9 (* x x)) 8/3) x) (/.f64 #s(literal 8/3 binary64) x)) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64)) x)) |
#s(approx (+ (* 4/9 (* x x)) 8/3) #s(literal 8/3 binary64)) |
#s(approx (+ (* 4/9 (* x x)) 8/3) (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64))) |
#s(approx (pow (exp (log x)) 2) (*.f64 x x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 #s(literal 2/3 binary64) x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (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 (* (* (/ 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 (* (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (* (sin (* 1/2 x)) 8/3)) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))) |
#s(approx (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (* 2 (* (sin (* x 1/2)) (cos (* x 1/2)))) (sin.f64 (*.f64 #s(literal 1 binary64) x))) |
#s(approx (* (sin (* x 1/2)) (cos (* x 1/2))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
#s(approx (sin (* x 1/2)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (cos (* x 1/2)) (cos.f64 (*.f64 x #s(literal 1/2 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 (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 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 (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.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)))) |
#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 (log x) (log.f64 x)) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.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)))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) (*.f64 #s(literal 4/9 binary64) x)) |
#s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) (*.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 x x)) #s(literal 4/9 binary64)) x)) |
#s(approx (+ (* 4/9 (* x x)) 8/3) (*.f64 (*.f64 x x) #s(literal 4/9 binary64))) |
#s(approx (+ (* 4/9 (* x x)) 8/3) (*.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 x x)) #s(literal 4/9 binary64)) (*.f64 x x))) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (*.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)))) |
#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 (log x) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))) |
Compiled 3 251 to 1 184 computations (63.6% saved)
32 alts after pruning (26 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 273 | 11 | 284 |
| Fresh | 20 | 15 | 35 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 4 | 6 |
| Total | 298 | 32 | 330 |
| Status | Accuracy | Program |
|---|---|---|
| 51.3% | (/.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)) | |
| 76.5% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 52.4% | (/.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)))) (fma.f64 (sin.f64 (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) | |
| 28.8% | (/.f64 #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 (sin x) x)) | |
| ✓ | 27.2% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2/3 binary64))) #s(approx (sin x) x)) |
| 28.6% | (/.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))) | |
| ✓ | 29.2% | (/.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) x)) |
| 27.2% | (/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) x)) | |
| 76.5% | (*.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))) | |
| 17.7% | (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 8/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 8/3 binary64) x)) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x) (/.f64 #s(literal 8/3 binary64) x))))))) | |
| 26.6% | (*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) #s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) (*.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 x x)) #s(literal 4/9 binary64)) x)))) | |
| 99.2% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) | |
| 51.3% | (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64)) | |
| 51.4% | (*.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 2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) | |
| 51.4% | (*.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)) | |
| 50.9% | (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 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 8/3 binary64) (sin.f64 x))) | |
| 99.4% | (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (cos.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))))) | |
| ✓ | 99.2% | (*.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))) |
| 51.4% | (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) | |
| 51.3% | (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64)) | |
| ✓ | 4.2% | (*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) 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)))) |
| 55.3% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64))) | |
| 52.1% | (*.f64 #s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) | |
| 52.1% | (*.f64 #s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) | |
| 99.3% | (*.f64 #s(approx (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) | |
| 29.2% | (*.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) | |
| 52.1% | #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)) | |
| 52.0% | #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)) | |
| 52.1% | #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)) | |
| ✓ | 52.1% | #s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
| 99.4% | #s(approx (* (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (* (sin (* 1/2 x)) 8/3)) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))) |
Compiled 1 305 to 862 computations (33.9% saved)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 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) 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 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
(*.f64 #s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
(/.f64 #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 (sin 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 (* (* (/ 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 (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) 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)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2/3 binary64))) #s(approx (sin x) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
#s(approx (* (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (* (sin (* 1/2 x)) 8/3)) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 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 #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))) #s(approx (sin x) 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 #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)) #s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) (*.f64 #s(literal 4/9 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))))) (/.f64 #s(literal 8/3 binary64) #s(approx (sin x) x))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 4/9 binary64) #s(literal 8/3 binary64)) x))) |
(/.f64 #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)) (sin.f64 x)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 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(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(approx (/ 8/3 (sin x)) (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) #s(literal 8/3 binary64)) x))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #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 (* (* (/ 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 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) #s(approx (/ (+ (* 4/9 (* x x)) 8/3) x) (*.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) (*.f64 x x)) #s(literal 4/9 binary64)) x)))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2/3 binary64))) (sin.f64 x)) |
#s(approx (* (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (/ 8/3 (sin x))) (/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (sin.f64 x))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(approx (* 2 (* 1/2 x)) x)))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) |
(/.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))) (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 (-.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 #s(approx (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) 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) (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 (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 (exp.f64 (*.f64 (log.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 (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 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 (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 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))) #s(literal 8/3 binary64)) |
(/.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 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64)) |
(*.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 2 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.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))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 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 8/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (*.f64 #s(literal 2 binary64) (cos.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))))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(approx (/ 8/3 (sin x)) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 8/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x) (-.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 8/3 binary64) x)) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4/9 binary64)) x) (/.f64 #s(literal 8/3 binary64) x))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (cos.f64 x) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 x))) #s(literal 8/3 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 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 8/3 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)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))) (sin.f64 x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 8/3 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))))) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 8/3 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 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)))) (fma.f64 (sin.f64 (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) |
| Outputs |
|---|
#s(approx (* (/ (sin (* 1/2 x)) (* 2 (* (sin (* x 1/2)) (cos (* x 1/2))))) (* (sin (* 1/2 x)) 8/3)) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))) |
2 calls:
| 42.0ms | (/.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)) |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 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)) |
| 99.4% | 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)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 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) 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 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
(*.f64 #s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
(/.f64 #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 (sin 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 (* (* (/ 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 (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) 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)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64))) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) #s(literal 2/3 binary64))) #s(approx (sin x) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
| Outputs |
|---|
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* 8/3 (/ (sin (* 1/2 x)) (sin x))) #s(literal 4/3 binary64))) |
2 calls:
| 4.0ms | x |
| 4.0ms | (/.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 |
|---|---|---|
| 55.3% | 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)) |
| 55.3% | 1 | x |
Compiled 15 to 12 computations (20% saved)
Total -31.5b remaining (-102.7%)
Threshold costs -31.5b (-102.7%)
| Inputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (* 1/2 (cos (* 2 (* 1/2 x)))) #s(literal 1/2 binary64))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 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) 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 #s(approx (- 1/2 (* 1/2 (cos (* 2 (* 1/2 x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(approx (/ 8/3 (sin x)) (/.f64 #s(literal 8/3 binary64) x))) |
(*.f64 #s(approx (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
(/.f64 #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 (sin 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 (* (* (/ 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 (/ (- 1/2 (* (cos (* 1 x)) 1/2)) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)) #s(literal 8/3 binary64)) |
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(approx (sin x) 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)) |
| Outputs |
|---|
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x)) |
2 calls:
| 4.0ms | x |
| 4.0ms | (/.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 |
|---|---|---|
| 52.1% | 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)) |
| 52.1% | 1 | x |
Compiled 15 to 12 computations (20% saved)
| 1× | fuel |
Compiled 47 to 36 computations (23.4% saved)
(negabs x)
Compiled 167 to 143 computations (14.4% saved)
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