
Time bar (total: 3.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0.0% | 0.0% | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0 |
| 0.0% | 0.0% | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 1 |
| 50.0% | 50.0% | 50.0% | 0.0% | 0.0% | 0.0% | 0.0% | 2 |
| 75.0% | 75.0% | 25.0% | 0.0% | 0.0% | 0.0% | 0.0% | 3 |
| 87.5% | 87.5% | 12.5% | 0.0% | 0.0% | 0.0% | 0.0% | 4 |
| 93.8% | 93.7% | 6.2% | 0.0% | 0.0% | 0.0% | 0.0% | 5 |
| 96.9% | 96.8% | 3.1% | 0.0% | 0.0% | 0.0% | 0.0% | 6 |
| 98.4% | 98.4% | 1.6% | 0.0% | 0.0% | 0.0% | 0.0% | 7 |
| 99.2% | 99.2% | 0.8% | 0.0% | 0.0% | 0.0% | 0.0% | 8 |
| 99.6% | 99.6% | 0.4% | 0.0% | 0.0% | 0.0% | 0.0% | 9 |
| 99.8% | 99.8% | 0.2% | 0.0% | 0.0% | 0.0% | 0.0% | 10 |
| 99.9% | 99.9% | 0.1% | 0.0% | 0.0% | 0.0% | 0.0% | 11 |
| 100.0% | 99.9% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 12 |
Compiled 10 to 8 computations (20.0% saved)
| 547.0ms | 2 214× | 2 | valid |
| 352.0ms | 4 165× | 0 | valid |
| 265.0ms | 695× | 3 | valid |
| 103.0ms | 1 182× | 1 | valid |
ival-cos: 735.0ms (72.7% of total)adjust: 115.0ms (11.4% of total)ival-div!: 67.0ms (6.6% of total)ival-sub!: 52.0ms (5.1% of total)ival-mult!: 43.0ms (4.3% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 25 |
| 1 | 60 | 24 |
| 2 | 275 | 24 |
| 3 | 1416 | 24 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 46.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(abs x)
Compiled 16 to 12 computations (25.0% saved)
| Inputs |
|---|
1 |
| Outputs |
|---|
#s(literal 1 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 3 to 3 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 245 |
| 1× | iter-limit |
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(cos.f64 x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 x x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))) |
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))) |
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 1.0ms | x | -inf |
| 1.0ms | x | inf |
| 1.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 19 |
| 0 | 10 | 19 |
| 1 | 56 | 19 |
| 2 | 276 | 19 |
| 3 | 1758 | 19 |
| 0 | 4104 | 19 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(cos.f64 x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 x x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
#s(literal 1 binary64) |
x |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64)))) (*.f64 (sin.f64 x) #s(literal 0 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))) (sin.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))))) |
(neg.f64 (neg.f64 (cos.f64 x))) |
(sin.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))))) |
(sin.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x))))) |
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)) (PI.f64)))) |
(sin.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)) (PI.f64)))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)) (PI.f64)) (PI.f64))) |
(sin.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)))) |
(sin.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (PI.f64))) |
(sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) |
(fma.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 (neg.f64 (fabs.f64 x))) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 (neg.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x))) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 x) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 x)))) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 x)))) |
(fma.f64 (cos.f64 x) #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 (fabs.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 0 binary64))) |
(-.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (sin.f64 (+.f64 (neg.f64 x) (PI.f64))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (sin.f64 (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (sin.f64 (+.f64 (PI.f64) x)) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64))) |
(-.f64 (*.f64 (sin.f64 (neg.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal -1 binary64))) |
(-.f64 (*.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal -1 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 x)))) |
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal -1 binary64))) |
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (neg.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x))))) |
(cos.f64 (neg.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(cos.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(cos.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))) |
(cos.f64 (fabs.f64 (neg.f64 (neg.f64 (fabs.f64 x))))) |
(cos.f64 (fabs.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(cos.f64 (fabs.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(cos.f64 (fabs.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (PI.f64)))) |
(cos.f64 (fabs.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (PI.f64)))) |
(cos.f64 (fabs.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (PI.f64)))) |
(cos.f64 (fabs.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))) |
(cos.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 x) (PI.f64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (fabs.f64 x) (PI.f64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (PI.f64))) |
(cos.f64 (+.f64 (fabs.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x))) (PI.f64))) |
(cos.f64 (+.f64 (fabs.f64 (+.f64 (neg.f64 x) (PI.f64))) (PI.f64))) |
(cos.f64 (+.f64 (fabs.f64 (+.f64 (fabs.f64 x) (PI.f64))) (PI.f64))) |
(cos.f64 (+.f64 (fabs.f64 (+.f64 (PI.f64) x)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 (fabs.f64 x)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fabs.f64 x)) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) |
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) |
(cos.f64 (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) (PI.f64))) |
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(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 0 binary64))) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) |
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(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
Compiled 8 769 to 1 426 computations (83.7% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 391 | 15 | 406 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | -1 | 1 | 0 |
| Total | 391 | 16 | 407 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 46.5% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
| 21.9% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 47.7% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 46.9% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (cos.f64 x) x)) x) | |
| 13.2% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)) | |
| 17.8% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) x)) | |
| ✓ | 46.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ▶ | 26.6% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| ▶ | 47.6% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x)) |
| 46.3% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (neg.f64 (cos.f64 x))) (*.f64 x x)) | |
| 46.9% | (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x)))) | |
| 47.6% | (*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| 46.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| ▶ | 55.7% | #s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))) |
| 55.3% | #s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) | |
| ▶ | 56.2% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 426 to 272 computations (36.2% saved)
| Inputs |
|---|
1/2 |
1 |
2 |
1/720 |
1/24 |
-1 |
| Outputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(literal 6405119470038039/4611686018427387904 binary64) |
#s(literal 6004799503160661/144115188075855872 binary64) |
#s(literal -1 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 8 to 8 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 730 |
| 1× | iter-limit |
| Inputs |
|---|
x |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
(*.f64 x x) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal 1/24 binary64) |
(-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
(cos.f64 x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(neg.f64 x) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (cos.f64 x)) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))) |
#s(approx (- 1 (cos x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))) |
#s(approx (- 1 (cos x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (* 1/720 (pow x 2)) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (- (* 1/720 (pow x 2)) 1/24) #s(literal -1/24 binary64)) |
#s(approx (- (* 1/720 (pow x 2)) 1/24) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))) |
#s(approx (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))) |
#s(approx (/ -1 x) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (* (/ -1 x) (- 1 (cos x))) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (* (/ -1 x) (- 1 (cos x))) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (* (/ -1 x) (- 1 (cos x))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) |
#s(approx (* (/ -1 x) (- 1 (cos x))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))) |
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (neg (cos x)) #s(literal -1 binary64)) |
#s(approx (neg (cos x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
#s(approx (neg (cos x)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))) |
#s(approx (neg (cos x)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64))) |
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (- (* 1/720 (pow x 2)) 1/24) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (* (/ -1 x) (- 1 (cos x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x))) |
#s(approx (neg (cos x)) (*.f64 #s(literal -1 binary64) (cos.f64 x))) |
#s(approx (/ (neg (cos x)) (* x x)) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (+ (* (/ 1 x) (/ 1 x)) (/ (neg (cos x)) (* x x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 4.0ms | x | inf |
| 3.0ms | x | -inf |
| 2.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 158 |
| 0 | 52 | 155 |
| 1 | 238 | 147 |
| 2 | 1174 | 147 |
| 0 | 4101 | 141 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
(*.f64 x x) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
#s(literal 1/720 binary64) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal 1/24 binary64) |
(-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
(cos.f64 x) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(neg.f64 x) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (cos.f64 x)) |
(/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
| Outputs |
|---|
x |
#s(literal 1/2 binary64) |
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))))) |
(neg.f64 (+.f64 #s(literal -1 binary64) #s(approx (cos x) #s(literal 1 binary64)))) |
(neg.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) |
(+.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos x) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x)) |
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x)))) |
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#s(literal 1/720 binary64) |
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#s(literal 1/24 binary64) |
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (cos.f64 x)) (*.f64 (*.f64 x x) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(+.f64 (/.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (*.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) x)) (*.f64 x (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (cos.f64 x) x) (*.f64 x (*.f64 (neg.f64 x) x)))) |
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) x)) (*.f64 x (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 x (cos.f64 x)) (*.f64 x (*.f64 (neg.f64 x) x)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) (neg.f64 x))) (*.f64 (*.f64 x x) x))) |
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) x))) |
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (neg.f64 (cos.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x) (*.f64 x x)) (/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) |
(+.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))) |
(+.f64 (/.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) |
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) x))) |
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) x)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (neg.f64 x) x) x))) |
(+.f64 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 (cos.f64 x) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (neg.f64 (cos.f64 x))) (*.f64 (*.f64 x x) x))) |
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) x) (*.f64 (*.f64 x x) x))) |
(+.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) x) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x x) x))) |
(+.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (cos.f64 x))) (neg.f64 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 x (/.f64 (cos.f64 x) (neg.f64 x))) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 x) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
Compiled 29 301 to 3 109 computations (89.4% saved)
26 alts after pruning (22 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 284 | 19 | 1 303 |
| Fresh | 7 | 3 | 10 |
| Picked | 5 | 0 | 5 |
| Done | -3 | 4 | 1 |
| Total | 1 293 | 26 | 1 319 |
| Status | Accuracy | Program |
|---|---|---|
| 2.3% | (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x x) x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x)) | |
| 2.4% | (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x x) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) | |
| ▶ | 2.3% | (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
| 26.8% | (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 x (neg.f64 x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) | |
| 27.2% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) | |
| 27.2% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (cos x)) (* x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) | |
| 46.5% | (/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) x (/.f64 #s(literal 1 binary64) x)) x) | |
| 46.7% | (/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) | |
| 21.7% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (neg.f64 x) x)) | |
| 2.6% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 x (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) x)) | |
| 21.9% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 47.7% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| ▶ | 47.6% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (neg.f64 x)) |
| 47.5% | (/.f64 (-.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) | |
| ▶ | 2.2% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
| 17.8% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) x)) | |
| 2.8% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x)) | |
| ▶ | 27.1% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
| ✓ | 46.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 26.6% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| ✓ | 47.6% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x)) |
| 26.6% | (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x)) | |
| 47.6% | (*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) | |
| 46.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| ▶ | 55.7% | #s(approx (/ (- 1 (cos x)) (* x x)) (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))) |
| ✓ | 56.2% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 761 to 464 computations (39.0% saved)
| Inputs |
|---|
1/720 |
-1/24 |
1/2 |
1 |
-1 |
| Outputs |
|---|
#s(literal 6405119470038039/4611686018427387904 binary64) |
#s(literal -6004799503160661/144115188075855872 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 7 to 7 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 215 | 1222 |
| 1× | iter-limit |
| Inputs |
|---|
x |
#s(literal 1/720 binary64) |
(*.f64 x x) |
#s(literal -1/24 binary64) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) |
#s(literal 1/2 binary64) |
(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)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (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))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) |
(*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(*.f64 x #s(approx (cos x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x x) x) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) x) |
(neg.f64 #s(approx (cos x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(cos.f64 x) |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(neg.f64 x) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (neg.f64 x)) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) |
#s(approx (+ (* 1/720 (* x x)) -1/24) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))) |
#s(approx (/ (cos x) x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (cos x) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) |
#s(approx (/ (cos x) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) x)) |
#s(approx (/ (cos x) x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) x)) |
#s(approx (- 1 (* x (/ (cos x) x))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (- 1 (* x (/ (cos x) x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (- 1 (* x (/ (cos x) x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))) |
#s(approx (- 1 (* x (/ (cos x) x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))) |
#s(approx (* x (cos x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* x (cos x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
#s(approx (* x (cos x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))) |
#s(approx (- (* (/ 1 x) (* x x)) (* x (cos x))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (* (/ 1 x) (* x x)) (* x (cos x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (- (* (/ 1 x) (* x x)) (* x (cos x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))) |
#s(approx (- (* (/ 1 x) (* x x)) (* x (cos x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))) |
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (/ -1 x) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (/ -1 x) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* (/ -1 x) (* x x)) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (* (/ -1 x) (* x x)) x) #s(literal -1 binary64)) |
#s(approx (neg (cos x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
#s(approx (neg (cos x)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))) |
#s(approx (neg (cos x)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64))) |
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (/ (neg (cos x)) (* x x)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (- (cos x) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (- (cos x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (- (cos x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) |
#s(approx (- (cos x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))) |
#s(approx (/ x (- (cos x) 1)) (/.f64 #s(literal -2 binary64) x)) |
#s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x)) |
#s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) x)) |
#s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) x)) |
#s(approx (/ 1 (/ x (- (cos x) 1))) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (/ 1 (/ x (- (cos x) 1))) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (/ x (- (cos x) 1))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (/ x (- (cos x) 1))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))) |
#s(approx (+ (* 1/720 (* x x)) -1/24) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (* 1/720 (* x x)) -1/24) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (/ (cos x) x) (/.f64 (cos.f64 x) x)) |
#s(approx (- 1 (* x (/ (cos x) x))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (* x (cos x)) (*.f64 x (cos.f64 x))) |
#s(approx (- (* (/ 1 x) (* x x)) (* x (cos x))) (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
#s(approx (neg (cos x)) (*.f64 #s(literal -1 binary64) (cos.f64 x))) |
#s(approx (/ (neg (cos x)) (* x x)) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (+ (* (/ (/ -1 x) x) (/ (* (/ -1 x) (* x x)) x)) (/ (neg (cos x)) (* x x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (- (cos x) 1) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
#s(approx (/ x (- (cos x) 1)) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ x (- (cos x) 1))) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) |
#s(approx (/ (/ 1 (/ x (- (cos x) 1))) (neg x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (- (* (/ 1 x) (* x x)) (* x (cos x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 5.0ms | x | inf |
| 5.0ms | x | -inf |
| 3.0ms | x | 0 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 238 |
| 0 | 67 | 202 |
| 1 | 333 | 174 |
| 2 | 1800 | 174 |
| 0 | 4211 | 174 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
#s(literal 1/720 binary64) |
(*.f64 x x) |
#s(literal -1/24 binary64) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) |
#s(literal 1/2 binary64) |
(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)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (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))) |
#s(literal 1 binary64) |
#s(approx (cos x) #s(literal 1 binary64)) |
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) |
(*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(*.f64 x #s(approx (cos x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x x) x) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) x) |
(neg.f64 #s(approx (cos x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(cos.f64 x) |
(-.f64 (cos.f64 x) #s(literal 1 binary64)) |
(/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
(neg.f64 x) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (neg.f64 x)) |
| Outputs |
|---|
x |
#s(literal 1/720 binary64) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x)) |
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x)))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (neg.f64 (fabs.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)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (*.f64 x (*.f64 (*.f64 x x) x))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(literal -1/24 binary64) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal -1/24 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -1/24 binary64) #s(literal -1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 #s(literal 1/24 binary64) #s(literal 1/24 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(/.f64 (+.f64 (pow.f64 #s(literal -1/24 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/24 binary64) #s(literal -1/24 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/24 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (fma.f64 #s(literal 1/24 binary64) #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (*.f64 #s(literal -1/24 binary64) #s(literal -1/24 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal -1/24 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (-.f64 (*.f64 #s(literal -1/24 binary64) #s(literal -1/24 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) |
(neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/24 binary64)) |
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) |
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal -1/24 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(-.f64 #s(literal -1/24 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/720 binary64) x)) x)) |
(-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/720 binary64))) |
(-.f64 #s(literal -1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x))) |
(-.f64 #s(literal -1/24 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) |
(+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal -1/2 binary64))) |
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))))) |
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(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (*.f64 (neg.f64 x) x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(-.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 x x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
Compiled 21 666 to 3 015 computations (86.1% saved)
42 alts after pruning (35 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 924 | 28 | 952 |
| Fresh | 10 | 7 | 17 |
| Picked | 5 | 0 | 5 |
| Done | -3 | 7 | 4 |
| Total | 936 | 42 | 978 |
| Status | Accuracy | Program |
|---|---|---|
| 2.3% | (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x x) x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x)) | |
| 2.2% | (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) x) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) | |
| ✓ | 2.3% | (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
| 26.8% | (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(approx (/ (* (/ -1 x) (* x x)) x) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) | |
| 27.8% | (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| 27.2% | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) | |
| 27.5% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) x))) | |
| 27.2% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) | |
| 27.2% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (cos x)) (* x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) | |
| 2.2% | (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) | |
| 2.6% | (fma.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) | |
| 26.9% | (fma.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) x))) | |
| 27.1% | (fma.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) | |
| 2.7% | (/.f64 (fma.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) | |
| 27.3% | (/.f64 (fma.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) x (/.f64 #s(literal 1 binary64) x)) x) | |
| 46.7% | (/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) | |
| 3.2% | (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 x x) x) (*.f64 (*.f64 x x) x)) | |
| 27.4% | (/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) | |
| 21.7% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (neg.f64 x) x)) | |
| 2.3% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)) | |
| 2.5% | (/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 x (*.f64 (*.f64 x x) x))) | |
| 21.9% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 47.7% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| ▶ | 82.3% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
| 56.0% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 #s(literal -2 binary64) x))) (neg.f64 x)) | |
| 47.5% | (/.f64 (-.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) | |
| ▶ | 2.2% | (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
| ✓ | 2.2% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
| ▶ | 27.2% | (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) x) (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x)) |
| 1.7% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) | |
| 41.5% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (*.f64 x x) x)) | |
| ▶ | 27.2% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x)) |
| ✓ | 27.1% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
| ✓ | 46.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 26.6% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 47.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) | |
| 26.6% | (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x)) | |
| 26.9% | (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) x))) | |
| 46.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| ✓ | 55.7% | #s(approx (/ (- 1 (cos x)) (* x x)) (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))) |
| ▶ | 55.3% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
| ✓ | 56.2% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 1 388 to 827 computations (40.4% saved)
| Inputs |
|---|
1 |
-1/6 |
2 |
-1/24 |
1/2 |
-1 |
| Outputs |
|---|
#s(literal 1 binary64) |
#s(literal -6004799503160661/36028797018963968 binary64) |
#s(literal 2 binary64) |
#s(literal -6004799503160661/144115188075855872 binary64) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 8 to 8 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 225 | 1384 |
| 1× | iter-limit |
| Inputs |
|---|
#s(literal 1 binary64) |
x |
#s(literal -1/6 binary64) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x) |
#s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x))) |
(neg.f64 x) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
#s(literal -1/24 binary64) |
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) |
(*.f64 x (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) x) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) x) (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) x) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) x) (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x x) x) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (*.f64 x x)) |
(*.f64 x #s(approx (cos x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (* -1/6 (pow x 2)) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (- (* -1/6 (pow x 2)) 2) #s(literal -2 binary64)) |
#s(approx (- (* -1/6 (pow x 2)) 2) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) |
#s(approx (/ (- (* -1/6 (pow x 2)) 2) x) (/.f64 #s(literal -2 binary64) x)) |
#s(approx (/ (- (* -1/6 (pow x 2)) 2) x) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x)) |
#s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) x)) |
#s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) x)) |
#s(approx (/ 1 (/ x (- (cos x) 1))) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (/ 1 (/ x (- (cos x) 1))) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (/ x (- (cos x) 1))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (/ x (- (cos x) 1))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))) |
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (/ 1 (/ x (- (cos x) 1))) (neg x)) #s(literal 1/2 binary64)) |
#s(approx (/ (/ 1 (/ x (- (cos x) 1))) (neg x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (/ (/ 1 (/ x (- (cos x) 1))) (neg x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))) |
#s(approx (/ (/ 1 (/ x (- (cos x) 1))) (neg x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64))))) |
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) |
#s(approx (+ (* 1/720 (* x x)) -1/24) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))) |
#s(approx (* (cos x) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* (cos x) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
#s(approx (* (cos x) x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))) |
#s(approx (/ (* (cos x) x) (* x x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (* (cos x) x) (* x x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)) |
#s(approx (/ (* (cos x) x) (* x x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) x)) |
#s(approx (/ (* (cos x) x) (* x x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) x)) |
#s(approx (- 1 (* x (/ (* (cos x) x) (* x x)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (- 1 (* x (/ (* (cos x) x) (* x x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (- 1 (* x (/ (* (cos x) x) (* x x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))) |
#s(approx (- 1 (* x (/ (* (cos x) x) (* x x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))) |
#s(approx (/ -1 (* x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* (/ -1 (* x x)) x) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (* (* (/ -1 (* x x)) x) x) #s(literal -1 binary64)) |
#s(approx (neg (* (cos x) 1)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
#s(approx (neg (* (cos x) 1)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))) |
#s(approx (neg (* (cos x) 1)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))) #s(literal 1 binary64))) |
#s(approx (- (* (* (/ -1 (* x x)) x) x) (neg (* (cos x) 1))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (- (* (* (/ -1 (* x x)) x) x) (neg (* (cos x) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (- (* (* (/ -1 (* x x)) x) x) (neg (* (cos x) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) |
#s(approx (- (* (* (/ -1 (* x x)) x) x) (neg (* (cos x) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))) |
#s(approx (* (neg x) x) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (- (* (/ (* x x) (* (* x x) x)) (* x x)) (* x (cos x))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (- (* (/ (* x x) (* (* x x) x)) (* x x)) (* x (cos x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (- (* (/ (* x x) (* (* x x) x)) (* x x)) (* x (cos x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))) |
#s(approx (- (* (/ (* x x) (* (* x x) x)) (* x x)) (* x (cos x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))) |
#s(approx (- (* -1/6 (pow x 2)) 2) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (/ (- (* -1/6 (pow x 2)) 2) x) (*.f64 #s(literal -1/6 binary64) x)) |
#s(approx (/ (- (* -1/6 (pow x 2)) 2) x) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (/ x (- (cos x) 1)) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) |
#s(approx (/ 1 (/ x (- (cos x) 1))) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x)) |
#s(approx (/ (/ 1 (/ x (- (cos x) 1))) (neg x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (+ (* 1/720 (* x x)) -1/24) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (* 1/720 (* x x)) -1/24) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/720 binary64) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (* (cos x) x) (*.f64 x (cos.f64 x))) |
#s(approx (/ (* (cos x) x) (* x x)) (/.f64 (cos.f64 x) x)) |
#s(approx (- 1 (* x (/ (* (cos x) x) (* x x)))) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(approx (neg (* (cos x) 1)) (*.f64 #s(literal -1 binary64) (cos.f64 x))) |
#s(approx (- (* (* (/ -1 (* x x)) x) x) (neg (* (cos x) 1))) (-.f64 (cos.f64 x) #s(literal 1 binary64))) |
#s(approx (- (* (/ (* x x) (* (* x x) x)) (* x x)) (* x (cos x))) (*.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x)))) |
#s(approx (- (* (/ (* x x) (* (* x x) x)) (* x x)) (* x (cos x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))))) |
#s(approx (/ (- (* (/ (* x x) (* (* x x) x)) (* x x)) (* x (cos x))) (* (* x x) x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (cos.f64 x))) (pow.f64 x #s(literal 2 binary64)))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 5.0ms | x | -inf |
| 5.0ms | x | inf |
| 3.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 357 |
| 0 | 78 | 314 |
| 1 | 394 | 242 |
| 2 | 1817 | 242 |
| 0 | 4382 | 234 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(literal 1 binary64) |
x |
#s(literal -1/6 binary64) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) |
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x) |
#s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x))) |
(neg.f64 x) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
#s(literal -1/24 binary64) |
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (cos x) #s(literal 1 binary64)) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)) |
(*.f64 x (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) x) |
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) x) (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) x) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) x) (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x x) x) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (*.f64 x x)) |
(*.f64 x #s(approx (cos x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
| Outputs |
|---|
#s(literal 1 binary64) |
x |
#s(literal -1/6 binary64) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x)) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x)))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (neg.f64 x)) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) x) |
(*.f64 (*.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) (*.f64 #s(literal -2 binary64) #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #s(literal -2 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #s(literal 3 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (-.f64 (*.f64 #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #s(literal 2 binary64))))) |
(neg.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -2 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/6 binary64)) #s(literal -2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/6 binary64)) #s(literal -2 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -2 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -2 binary64)) |
(-.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #s(literal 2 binary64)) |
(+.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x)) |
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) #s(literal -2 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
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(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (neg.f64 x) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (neg.f64 x) x) (/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) x) (*.f64 (*.f64 x x) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) x) (*.f64 (*.f64 x x) x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) x) (*.f64 (*.f64 x x) x))) |
(fma.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) x) (*.f64 (*.f64 x x) x))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) x) (*.f64 (*.f64 x x) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) x) (*.f64 (*.f64 x x) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) x) (*.f64 (*.f64 x x) x))) |
Compiled 25 604 to 3 820 computations (85.1% saved)
33 alts after pruning (28 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 949 | 18 | 967 |
| Fresh | 20 | 10 | 30 |
| Picked | 5 | 0 | 5 |
| Done | 2 | 5 | 7 |
| Total | 976 | 33 | 1 009 |
| Status | Accuracy | Program |
|---|---|---|
| 27.5% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) x) (*.f64 (*.f64 x x) x))) | |
| 27.2% | (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) | |
| 26.9% | (fma.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) x))) | |
| 46.7% | (/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) | |
| 21.7% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (neg.f64 x) x)) | |
| 21.9% | (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) | |
| 47.7% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) | |
| 82.3% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 (*.f64 x x) (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -2 binary64) x)))) (neg.f64 x)) | |
| 82.3% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64)) x))) (neg.f64 x)) | |
| 33.9% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))) (neg.f64 x)) | |
| 33.5% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal 2 binary64)) x))) (neg.f64 x)) | |
| 82.3% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)) x))) (neg.f64 x)) | |
| 82.3% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)))) #s(literal 2 binary64)) x))) (neg.f64 x)) | |
| 82.3% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (neg.f64 x))) #s(literal 2 binary64)) x))) (neg.f64 x)) | |
| 82.3% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) x))) (neg.f64 x)) | |
| 82.3% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) | |
| 30.2% | (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) #s(approx (/ (- (* -1/6 (pow x 2)) 2) x) (*.f64 #s(literal -1/6 binary64) x)))) (neg.f64 x)) | |
| 82.2% | (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))) x) | |
| 82.4% | (/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))) | |
| 47.5% | (/.f64 (-.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) | |
| 41.5% | (/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (*.f64 x x) x)) | |
| ✓ | 46.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| ✓ | 26.6% | (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| 82.2% | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))))) | |
| 47.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) | |
| 82.3% | (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))) x)) | |
| 26.9% | (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) x) (*.f64 (*.f64 x x) x))) | |
| 46.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| 82.3% | (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal -1 binary64) x)) | |
| 82.3% | (exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64))) | |
| ✓ | 55.7% | #s(approx (/ (- 1 (cos x)) (* x x)) (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))) |
| ✓ | 55.3% | #s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
| ✓ | 56.2% | #s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
Compiled 625 to 431 computations (31.0% saved)
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) #s(approx (/ (- (* -1/6 (pow x 2)) 2) x) (*.f64 #s(literal -1/6 binary64) x)))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 #s(literal -2 binary64) x))) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) #s(approx (/ (- (* -1/6 (pow x 2)) 2) x) (*.f64 #s(literal -1/6 binary64) x)))) (neg.f64 x)) |
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) #s(approx (/ (- (* -1/6 (pow x 2)) 2) x) (*.f64 #s(literal -1/6 binary64) x)))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 #s(literal -2 binary64) x))) (neg.f64 x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (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 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (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 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) #s(approx (/ (- (* -1/6 (pow x 2)) 2) x) (*.f64 #s(literal -1/6 binary64) x)))) (neg.f64 x)) |
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) #s(approx (/ (- (* -1/6 (pow x 2)) 2) x) (*.f64 #s(literal -1/6 binary64) x)))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 #s(literal -2 binary64) x))) (neg.f64 x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (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 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))) x)) |
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) #s(approx (/ (- (* -1/6 (pow x 2)) 2) x) (*.f64 #s(literal -1/6 binary64) x)))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 #s(literal -2 binary64) x))) (neg.f64 x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (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 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))) x) |
(fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(approx (/ (* (/ -1 x) (* x x)) x) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64)) x))) (neg.f64 x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) x (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 x x) x) (*.f64 (*.f64 x x) x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) x) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 (*.f64 x x) (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -2 binary64) x)))) (neg.f64 x)) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 x (*.f64 (*.f64 x x) x))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 x (neg.f64 x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 x (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) x) (*.f64 (*.f64 x x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) x) (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(fma.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))) (neg.f64 x)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x x) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x x) x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (neg.f64 x))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) x) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (cos x)) (* x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(fma.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))) |
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) #s(approx (/ (- (* -1/6 (pow x 2)) 2) x) (*.f64 #s(literal -1/6 binary64) x)))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 #s(literal -2 binary64) x))) (neg.f64 x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (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 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))) x) |
(fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(approx (/ (* (/ -1 x) (* x x)) x) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64)) x))) (neg.f64 x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) x (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 x x) x) (*.f64 (*.f64 x x) x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) x) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 (*.f64 x x) (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -2 binary64) x)))) (neg.f64 x)) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 x (*.f64 (*.f64 x x) x))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 x (neg.f64 x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 x (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) x) (*.f64 (*.f64 x x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) x) (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(fma.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))) (neg.f64 x)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x x) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x x) x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (neg.f64 x))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) x) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (cos x)) (* x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(fma.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| Inputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) #s(approx (/ (- (* -1/6 (pow x 2)) 2) x) (*.f64 #s(literal -1/6 binary64) x)))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 #s(literal -2 binary64) x))) (neg.f64 x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (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 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (neg (cos x)) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))) x) |
(fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(approx (/ (* (/ -1 x) (* x x)) x) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -2 binary64)) x))) (neg.f64 x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) x (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 x x) x) (*.f64 (*.f64 x x) x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) x (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) x) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (fma.f64 (*.f64 x x) (/.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -2 binary64) x)))) (neg.f64 x)) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 x (*.f64 (*.f64 x x) x))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 x (neg.f64 x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 x (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) x) (*.f64 (*.f64 x x) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x) x) (neg.f64 (*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(fma.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x) (*.f64 x #s(literal 2 binary64))) (*.f64 x x)))) (neg.f64 x)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x x) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (*.f64 x x) x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (neg.f64 x))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (/.f64 (*.f64 (neg.f64 x) x) x) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(approx (/ (neg (cos x)) (* x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) x) (/.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 x #s(approx (cos x) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(fma.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (*.f64 (neg.f64 x) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) #s(approx (/ x (- (cos x) 1)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (cos x) 1)) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x)))) #s(literal 2 binary64)) x))) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
#s(approx (/ (- 1 (cos x)) (* x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (/.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (cos.f64 x))) x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 (cos.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (neg.f64 x)) |
(/.f64 (-.f64 x (*.f64 x (cos.f64 x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (fma.f64 (/.f64 (cos.f64 x) (neg.f64 x)) x #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (/.f64 (cos.f64 x) x)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (cos.f64 x)))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x)) x (/.f64 #s(literal 1 binary64) x)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 x x))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) x) (cos.f64 x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 (*.f64 (*.f64 x x) x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (/.f64 (cos.f64 x) x))) (*.f64 (*.f64 x x) x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (cos.f64 x))) (*.f64 x x)) (*.f64 x x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) (neg.f64 (cos.f64 x))) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (/ (- 1 (cos x)) (* x x)) (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 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) x) x) |
13 calls:
| 22.0ms | x |
| 18.0ms | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 18.0ms | x |
| 13.0ms | x |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.2% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 56.2% | 1 | x |
| 80.2% | 2 | x |
| 82.4% | 2 | x |
| 82.5% | 2 | x |
| 56.2% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 82.3% | 1 | x |
| 82.3% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 82.4% | 1 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 82.4% | 1 | x |
| 99.3% | 2 | x |
| 99.3% | 3 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)) |
| 99.8% | 2 | x |
Compiled 1 525 to 331 computations (78.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 0.009278975436315466 | 1004.9344858357629 |
| 9.0ms | 40× | 2 | valid |
| 4.0ms | 56× | 0 | valid |
| 3.0ms | 40× | 1 | valid |
| 3.0ms | 8× | 3 | valid |
Compiled 263 to 199 computations (24.3% saved)
ival-cos: 11.0ms (72.5% of total)adjust: 2.0ms (13.2% of total)ival-sub!: 1.0ms (6.6% of total)ival-div!: 1.0ms (6.6% of total)ival-mult!: 1.0ms (6.6% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.009278975436315466 | 1004.9344858357629 |
Compiled 263 to 199 computations (24.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 0.009278975436315466 | 1004.9344858357629 |
| 12.0ms | 42× | 2 | valid |
| 5.0ms | 12× | 3 | valid |
| 4.0ms | 55× | 0 | valid |
| 2.0ms | 19× | 1 | valid |
Compiled 416 to 316 computations (24.0% saved)
ival-cos: 11.0ms (69.5% of total)adjust: 2.0ms (12.6% of total)ival-sub!: 1.0ms (6.3% of total)ival-div!: 1.0ms (6.3% of total)ival-mult!: 1.0ms (6.3% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 0.009278975436315466 | 1004.9344858357629 |
| 1.0ms | 4× | 2 | valid |
| 1.0ms | 2× | 3 | valid |
| 0.0ms | 6× | 0 | valid |
| 0.0ms | 4× | 1 | valid |
Compiled 443 to 343 computations (22.6% saved)
ival-cos: 1.0ms (51.2% of total)adjust: 0.0ms (0.0% of total)ival-sub!: 0.0ms (0.0% of total)ival-div!: 0.0ms (0.0% of total)ival-mult!: 0.0ms (0.0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 62.0ms | 6.790704993696114e+72 | 5.189224779848616e+77 |
| 8.0ms | 34× | 2 | valid |
| 7.0ms | 17× | 3 | valid |
| 4.0ms | 66× | 0 | valid |
| 2.0ms | 27× | 1 | valid |
Compiled 191 to 163 computations (14.7% saved)
ival-cos: 13.0ms (72.8% of total)adjust: 2.0ms (11.2% of total)ival-sub!: 1.0ms (5.6% of total)ival-div!: 1.0ms (5.6% of total)ival-mult!: 1.0ms (5.6% of total)| 1× | fuel |
Compiled 237 to 68 computations (71.3% saved)
Compiled 776 to 406 computations (47.7% saved)
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