
Time bar (total: 9.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0.0% | 0.0% | 50.6% | 49.4% | 0.0% | 0.0% | 0.0% | 0 |
| 0.0% | 0.0% | 50.6% | 49.4% | 0.0% | 0.0% | 0.0% | 1 |
| 0.0% | 0.0% | 50.6% | 49.4% | 0.0% | 0.0% | 0.0% | 2 |
| 0.0% | 0.0% | 25.3% | 49.4% | 0.0% | 25.3% | 0.0% | 3 |
| 0.0% | 0.0% | 25.3% | 49.4% | 0.0% | 25.3% | 0.0% | 4 |
| 0.0% | 0.0% | 19.0% | 49.4% | 0.0% | 31.6% | 0.0% | 5 |
| 0.0% | 0.0% | 15.8% | 49.4% | 0.0% | 34.8% | 0.0% | 6 |
| 0.0% | 0.0% | 11.1% | 49.4% | 0.0% | 39.5% | 0.0% | 7 |
| 0.0% | 0.0% | 8.7% | 49.4% | 0.0% | 41.9% | 0.0% | 8 |
| 0.0% | 0.0% | 5.9% | 49.4% | 0.0% | 44.6% | 0.0% | 9 |
| 0.0% | 0.0% | 4.5% | 49.4% | 0.0% | 46.0% | 0.0% | 10 |
| 0.0% | 0.0% | 3.1% | 49.4% | 0.0% | 47.5% | 0.0% | 11 |
| 0.0% | 0.0% | 2.7% | 49.4% | 0.0% | 47.9% | 0.0% | 12 |
Compiled 27 to 19 computations (29.6% saved)
| 3.1s | 5 811× | 2 | valid |
| 2.1s | 26 203× | 0 | invalid |
| 413.0ms | 2 394× | 1 | valid |
| 18.0ms | 51× | 0 | valid |
ival-cos: 2.6s (65.3% of total)adjust: 425.0ms (10.8% of total)ival-fabs: 263.0ms (6.7% of total)ival-add!: 176.0ms (4.5% of total)ival-mult!: 151.0ms (3.9% of total)ival-<: 147.0ms (3.8% of total)ival-sub!: 125.0ms (3.2% of total)ival-and: 60.0ms (1.5% of total)ival-assert: 12.0ms (0.3% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 46 |
| 1 | 143 | 42 |
| 2 | 1851 | 42 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.2% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 14 to 12 computations (14.3% saved)
| Inputs |
|---|
| Outputs |
|---|
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 506 |
| 1× | iter-limit |
| Inputs |
|---|
x |
eps |
(+.f64 x eps) |
(cos.f64 (+.f64 x eps)) |
(cos.f64 x) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Outputs |
|---|
#s(approx x x) |
#s(approx (+ x eps) eps) |
#s(approx (+ x eps) (+.f64 eps x)) |
#s(approx (cos (+ x eps)) (cos.f64 eps)) |
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))) |
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps))))) |
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps))))) (sin.f64 eps))))) |
#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 eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64))) |
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) |
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))) |
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))) |
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))) |
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))) |
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) |
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))) |
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 1.0ms | eps | inf |
| 1.0ms | x | 0 |
| 1.0ms | x | -inf |
| 1.0ms | eps | -inf |
| 1.0ms | eps | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 79 | 18 |
| 2 | 528 | 18 |
| 0 | 4119 | 18 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
eps |
(+.f64 x eps) |
(cos.f64 (+.f64 x eps)) |
(cos.f64 x) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Outputs |
|---|
x |
eps |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 eps)) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))) (-.f64 x (neg.f64 (neg.f64 eps)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x eps)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps))) (*.f64 x (neg.f64 (neg.f64 eps)))))) |
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 eps eps (+.f64 (*.f64 x x) (*.f64 eps (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (+.f64 eps (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) (neg.f64 eps))) (+.f64 x (neg.f64 eps))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 x (neg.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x eps)))) |
(neg.f64 (neg.f64 (+.f64 eps x))) |
(-.f64 eps (neg.f64 x)) |
(-.f64 x (neg.f64 eps)) |
(+.f64 eps x) |
(+.f64 x (neg.f64 (neg.f64 eps))) |
(+.f64 x eps) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)) (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)))) (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))) (cos.f64 (+.f64 (neg.f64 x) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))))) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (+.f64 eps x))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 x) eps)) (cos.f64 (-.f64 (fabs.f64 x) eps))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (+.f64 eps x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 x) eps)) (cos.f64 (-.f64 (fabs.f64 x) eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))) (cos.f64 (-.f64 x eps))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))))) |
(neg.f64 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))) |
(sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) |
(fma.f64 (sin.f64 (neg.f64 (+.f64 eps x))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 (fabs.f64 (+.f64 eps x))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) eps)) (cos.f64 (+.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(fma.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 x) eps)) (cos.f64 (-.f64 (fabs.f64 x) eps))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) |
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(/.f64 (+.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)) (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 (cos.f64 x))) #s(literal 3 binary64))) (fma.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (cos.f64 x))))))) |
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)) (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))) |
(neg.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (cos.f64 x)))) |
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))) |
(+.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) |
Compiled 5 638 to 1 318 computations (76.6% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 239 | 19 | 258 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | -1 | 1 | 0 |
| Total | 239 | 20 | 259 |
| Status | Accuracy | Program |
|---|---|---|
| 53.5% | (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))) | |
| 53.5% | (-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) | |
| 53.5% | (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) | |
| 53.2% | (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x)) | |
| 53.2% | (-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x)) | |
| 53.1% | (-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) | |
| 53.2% | (-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| ✓ | 53.2% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 50.8% | (-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) | |
| 50.8% | (-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) | |
| ▶ | 50.8% | (-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x)) |
| 80.2% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) | |
| ▶ | 53.2% | (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
| 53.3% | (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) | |
| 6.2% | (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))))) | |
| ▶ | 50.7% | #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) |
| ▶ | 98.8% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
| 98.6% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))) | |
| ▶ | 98.3% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
| 79.3% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))) |
Compiled 661 to 436 computations (34.0% saved)
| Inputs |
|---|
-1/2 |
1/24 |
-1/6 |
1 |
2 |
(PI) |
1/2 |
(* (PI) 1/2) |
| Outputs |
|---|
#s(literal -1/2 binary64) |
#s(literal 6004799503160661/144115188075855872 binary64) |
#s(literal -6004799503160661/36028797018963968 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
#s(literal 884279719003555/281474976710656 binary64) |
#s(literal 1/2 binary64) |
#s(literal 884279719003555/562949953421312 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 12 to 10 computations (16.7% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 854 | 6196 |
| 1× | iter-limit |
| Inputs |
|---|
eps |
#s(literal -1/2 binary64) |
x |
(cos.f64 x) |
#s(literal 1/24 binary64) |
(*.f64 eps (cos.f64 x)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) |
#s(literal -1/6 binary64) |
(sin.f64 x) |
(*.f64 #s(literal -1/6 binary64) (sin.f64 x)) |
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) |
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
(cos.f64 eps) |
#s(literal 1 binary64) |
(-.f64 (cos.f64 eps) #s(literal 1 binary64)) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) |
#s(approx (+ x eps) eps) |
(cos.f64 #s(approx (+ x eps) eps)) |
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
#s(literal 2 binary64) |
(PI.f64) |
#s(literal 1/2 binary64) |
(+.f64 eps x) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) |
(neg.f64 x) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
| 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 (* eps (cos x)) eps) |
#s(approx (* eps (cos x)) (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* eps (cos x)) (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (* eps (cos x)) (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) eps))))))) |
#s(approx (* 1/24 (* eps (cos x))) (*.f64 #s(literal 1/24 binary64) eps)) |
#s(approx (* 1/24 (* eps (cos x))) (fma.f64 #s(literal -1/48 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) eps))) |
#s(approx (* 1/24 (* eps (cos x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (*.f64 #s(literal 1/576 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (* 1/24 (* eps (cos x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/17280 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/576 binary64) eps))))))) |
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.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(approx (sin 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 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))) |
#s(approx (* -1/6 (sin x)) (*.f64 #s(literal -1/6 binary64) x)) |
#s(approx (* -1/6 (sin x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))) |
#s(approx (* -1/6 (sin x)) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))) |
#s(approx (* -1/6 (sin x)) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/30240 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/6 binary64)))) |
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) |
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 eps x)))))) |
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) |
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)))) |
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/6 binary64) eps))))) |
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (fma.f64 #s(literal -1/36 binary64) (*.f64 eps x) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) |
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x))) #s(literal 1/2 binary64))) |
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))) |
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps x) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) #s(literal 1/2 binary64))) |
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) |
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/36 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))) |
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))) |
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal 1 binary64))))) |
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64))))) |
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 x (fma.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 x (fma.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64))) |
#s(approx (+ x eps) (+.f64 eps x)) |
#s(approx (cos (+ x eps)) (cos.f64 eps)) |
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))) |
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps))))) |
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps))))) (sin.f64 eps))))) |
#s(approx (* -1/2 (* eps (cos x))) (*.f64 #s(literal -1/2 binary64) eps)) |
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) eps))))) |
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (*.f64 #s(literal 1/1440 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 eps x) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) |
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (+ (neg x) (* (PI) 1/2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
#s(approx (+ (neg x) (* (PI) 1/2)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 #s(literal 1/2 binary64) eps)) |
#s(approx (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) |
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))) |
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))) |
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))) |
#s(approx (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (+.f64 eps (PI.f64))) |
#s(approx (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) |
#s(approx (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) |
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) |
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) |
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) |
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) |
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) |
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))))))))) |
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64))))))))))))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (* eps (cos x)) (*.f64 eps (cos.f64 x))) |
#s(approx (* 1/24 (* eps (cos x))) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (* -1/6 (sin x)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))) |
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) |
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))) |
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) |
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))))) |
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))) |
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) |
#s(approx (cos (+ x eps)) (cos.f64 (+.f64 eps x))) |
#s(approx (* -1/2 (* eps (cos x))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 eps x))))) |
#s(approx (+ (neg x) (* (PI) 1/2)) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64)))) |
#s(approx (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))) |
#s(approx (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))) |
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) |
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))) |
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))) |
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))) |
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x)) #s(literal 1 binary64))))) |
#s(approx (+ (neg x) (* (PI) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x)))))) |
#s(approx (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))) |
#s(approx (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))) |
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))) |
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))) |
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))) |
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))) |
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))) |
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) |
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) |
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))) |
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))) |
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) |
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))) |
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))) |
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))) |
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))) |
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))))) |
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))) |
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos eps) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) |
#s(approx (- (cos eps) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))) |
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x))))) |
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))) |
#s(approx (cos (+ x eps)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))))) |
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))))) |
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))) |
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (sin.f64 x) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (*.f64 #s(literal -1/48 binary64) (*.f64 eps (cos.f64 x))))))))) |
#s(approx (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (PI.f64)) |
#s(approx (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
#s(approx (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) |
#s(approx (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) |
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))) |
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)))) |
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)))) |
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)) (*.f64 eps (fma.f64 #s(literal -1/16 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal -1/48 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal 1/48 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)))) |
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)))) |
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (fma.f64 #s(literal 2 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))))) |
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)) (*.f64 eps (fma.f64 #s(literal 2 binary64) (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))) |
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x)) (*.f64 eps (fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 eps (fma.f64 #s(literal 2 binary64) (*.f64 eps (fma.f64 #s(literal -1/16 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal -1/48 binary64) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal 1/48 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 x))))))))))) |
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))) |
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x)))) |
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))) |
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (cos.f64 x)))) |
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))) |
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))) |
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps) (/.f64 x eps))))) |
#s(approx (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))) |
#s(approx (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))) |
#s(approx (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) eps)))) |
#s(approx (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps))))) |
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x)))))) |
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))) |
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x)))))) |
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x)))))) |
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x)))))) |
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))) |
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))) |
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))) |
#s(approx (cos (+ x eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))) |
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) eps)) #s(literal 1 binary64))))) |
#s(approx (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))) |
#s(approx (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))) |
#s(approx (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))) |
#s(approx (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) eps)) #s(literal 1 binary64))))) |
#s(approx (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) eps)) #s(literal 1/2 binary64))))) |
#s(approx (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal -1 binary64) eps))))) |
#s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))) |
#s(approx (* 2 (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 10.0ms | x | 0 |
| 8.0ms | eps | inf |
| 7.0ms | x | -inf |
| 5.0ms | eps | -inf |
| 5.0ms | eps | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 424 |
| 0 | 82 | 404 |
| 1 | 445 | 387 |
| 2 | 2552 | 387 |
| 0 | 4866 | 376 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
eps |
#s(literal -1/2 binary64) |
x |
(cos.f64 x) |
#s(literal 1/24 binary64) |
(*.f64 eps (cos.f64 x)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) |
#s(literal -1/6 binary64) |
(sin.f64 x) |
(*.f64 #s(literal -1/6 binary64) (sin.f64 x)) |
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))) |
(*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) |
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
(cos.f64 eps) |
#s(literal 1 binary64) |
(-.f64 (cos.f64 eps) #s(literal 1 binary64)) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) |
#s(approx (+ x eps) eps) |
(cos.f64 #s(approx (+ x eps) eps)) |
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
#s(literal 2 binary64) |
(PI.f64) |
#s(literal 1/2 binary64) |
(+.f64 eps x) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) |
(neg.f64 x) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
| Outputs |
|---|
eps |
#s(literal -1/2 binary64) |
x |
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) |
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)) |
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 x)))) |
(fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
(cos.f64 (neg.f64 (fabs.f64 x))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (fabs.f64 (fabs.f64 x))) |
(cos.f64 (fabs.f64 x)) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 x)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (sin.f64 x)))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
#s(literal 1/24 binary64) |
(*.f64 (cos.f64 x) eps) |
(*.f64 eps (cos.f64 x)) |
(*.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps) |
(*.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x)) |
(*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 x) eps)) |
(*.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps)) |
(*.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64))) |
#s(literal -1/6 binary64) |
(sin.f64 x) |
(*.f64 (sin.f64 x) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (sin.f64 x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/6 binary64)))) (+.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal -1/6 binary64)))))) |
(neg.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps)))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) |
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(fma.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (neg.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) |
(-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) |
(+.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) |
(*.f64 eps (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)))) |
(neg.f64 (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps)) |
(fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) eps (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps)) |
(fma.f64 eps (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) |
(+.f64 (*.f64 eps (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) eps) (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps) (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps))) (+.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (-.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps) (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))) (-.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))))) |
(neg.f64 (-.f64 (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (neg.f64 (neg.f64 eps)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (neg.f64 (neg.f64 eps)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) |
(fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) |
(-.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (cos.f64 x) eps))) eps)) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1/2 binary64))) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (neg.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (neg.f64 eps)) (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))))) |
(+.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) eps) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) |
(*.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) eps) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) eps))) |
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(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64))))) |
(-.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))))) |
(-.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))))) |
(-.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (neg.f64 (cos.f64 x)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))))) |
(+.f64 (sin.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x))) (cos.f64 (+.f64 x eps))) |
(+.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))) |
(+.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 x eps) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (+.f64 (+.f64 x eps) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64))))) |
(+.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))) |
(+.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))) |
Compiled 27 861 to 5 423 computations (80.5% saved)
35 alts after pruning (32 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 821 | 24 | 845 |
| Fresh | 6 | 8 | 14 |
| Picked | 5 | 0 | 5 |
| Done | -2 | 3 | 1 |
| Total | 830 | 35 | 865 |
| Status | Accuracy | Program |
|---|---|---|
| 53.5% | (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))) | |
| 53.5% | (-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) | |
| 53.5% | (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) | |
| ▶ | 53.2% | (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x)) |
| 53.2% | (-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x)) | |
| 53.1% | (-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) | |
| 53.2% | (-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| ✓ | 53.2% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 50.8% | (-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) | |
| ✓ | 50.8% | (-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x)) |
| 80.2% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) | |
| 10.2% | (*.f64 #s(literal 2 binary64) #s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))) | |
| 98.8% | #s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) | |
| 98.3% | #s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) | |
| 50.7% | #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))) | |
| ▶ | 98.8% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)) |
| 98.7% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) #s(approx (* eps (cos x)) eps)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) | |
| 98.0% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))) (sin.f64 x)))) | |
| 98.1% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x)))) | |
| ▶ | 98.6% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
| 97.6% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x)))) | |
| ✓ | 98.3% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
| ▶ | 97.6% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x)))) |
| 97.3% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x)))) | |
| 79.3% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))))) | |
| 96.7% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) | |
| 96.1% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) | |
| ▶ | 96.1% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))) |
| 98.2% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))) | |
| 96.3% | #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) | |
| 21.5% | #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))))) | |
| 51.8% | #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) | |
| 96.1% | #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) | |
| 51.7% | #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) | |
| 51.7% | #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
Compiled 1 101 to 838 computations (23.9% saved)
| Inputs |
|---|
-1/2 |
1/6 |
1/24 |
-1 |
(PI) |
1/2 |
| Outputs |
|---|
#s(literal -1/2 binary64) |
#s(literal 6004799503160661/36028797018963968 binary64) |
#s(literal 6004799503160661/144115188075855872 binary64) |
#s(literal -1 binary64) |
#s(literal 884279719003555/281474976710656 binary64) |
#s(literal 1/2 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 | 651 | 4244 |
| 1× | iter-limit |
| Inputs |
|---|
x |
(cos.f64 x) |
#s(literal -1/2 binary64) |
#s(literal 1/6 binary64) |
(sin.f64 x) |
eps |
(*.f64 (cos.f64 x) eps) |
#s(literal 1/24 binary64) |
(*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) |
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) |
(-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) |
(*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)) |
#s(literal -1 binary64) |
(*.f64 #s(literal -1/2 binary64) eps) |
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))) |
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (* eps (cos x)) eps) |
(*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x)) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x)))) |
(PI.f64) |
#s(literal 1/2 binary64) |
(+.f64 eps x) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) |
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x)) |
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) |
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 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 (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.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(approx (sin 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 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))) |
#s(approx (* (cos x) eps) eps) |
#s(approx (* (cos x) eps) (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* (cos x) eps) (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (* (cos x) eps) (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) eps))))))) |
#s(approx (* (* (cos x) eps) 1/24) (*.f64 #s(literal 1/24 binary64) eps)) |
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 #s(literal -1/48 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) eps))) |
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (*.f64 #s(literal 1/576 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (* (* (cos x) eps) 1/24) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/17280 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/576 binary64) eps))))))) |
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) |
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 eps x)))))) |
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) |
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x)))) |
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/6 binary64) eps))))) |
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (fma.f64 #s(literal -1/36 binary64) (*.f64 eps x) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) |
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps x) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) |
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/36 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))) |
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))))) |
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) #s(literal 1 binary64))))) |
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 eps (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1 binary64))))) |
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 x (fma.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 x (fma.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64))) |
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps)) |
#s(approx (+ (* -1 x) (* -1/2 eps)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 eps x) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) |
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) eps))))) |
#s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/48 binary64) eps (*.f64 #s(literal 1/1440 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (+ eps x) (+.f64 eps x)) |
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))) |
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1 binary64))) |
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 1 binary64))) |
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) #s(literal 1 binary64))) |
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))) #s(literal 1 binary64))) |
#s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (* 1/6 (sin x)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* 1/6 (sin x)) (*.f64 x (+.f64 #s(literal 1/6 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 1/36 binary64)))))) |
#s(approx (* 1/6 (sin x)) (*.f64 x (+.f64 #s(literal 1/6 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 -1/30240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/36 binary64)))))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (* (cos x) eps) (*.f64 eps (cos.f64 x))) |
#s(approx (* (* (cos x) eps) 1/24) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) |
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) |
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))) |
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) |
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))) |
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))) |
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
#s(approx (* -1/2 (* eps (cos x))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))) |
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) |
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 eps x))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 x))) |
#s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) |
#s(approx (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))) |
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) |
#s(approx (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))))))) |
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x))) |
#s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))) |
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))) |
#s(approx (+ eps x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))) |
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x)) #s(literal 1 binary64))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (-.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (-.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))) |
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))) |
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) |
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))) |
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) |
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x))) |
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))) |
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))) |
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))))) |
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))) |
#s(approx (+ (* (PI) 1/2) (+ eps x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (+.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (+.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))) |
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 x))) |
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (cos.f64 x))) |
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (+.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (cos.f64 x))) |
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (+.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))) (cos.f64 x))) |
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))) |
#s(approx (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))) |
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x)))) |
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))) |
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))) |
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (cos.f64 x)))) |
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))) |
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))) |
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) |
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) eps) (/.f64 x eps))))) |
#s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (cos.f64 x)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x)))))) |
#s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))) |
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x)))))) |
#s(approx (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x)))))) |
#s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x)))))) |
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))) |
#s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))) |
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))) |
#s(approx (+ eps x) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))) |
#s(approx (+ (* (PI) 1/2) (+ eps x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) eps)) #s(literal 1 binary64))))) |
#s(approx (sin (+ (* (PI) 1/2) (+ eps x))) (sin.f64 (-.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) eps)))) |
#s(approx (- (sin (+ (* (PI) 1/2) (+ eps x))) (cos x)) (-.f64 (sin.f64 (-.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 16.0ms | eps | -inf |
| 8.0ms | x | -inf |
| 4.0ms | x | inf |
| 3.0ms | eps | inf |
| 3.0ms | eps | 0 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 484 |
| 0 | 87 | 477 |
| 1 | 449 | 467 |
| 2 | 1727 | 467 |
| 0 | 4040 | 467 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
x |
(cos.f64 x) |
#s(literal -1/2 binary64) |
#s(literal 1/6 binary64) |
(sin.f64 x) |
eps |
(*.f64 (cos.f64 x) eps) |
#s(literal 1/24 binary64) |
(*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) |
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) |
(-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) |
(*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)) |
#s(literal -1 binary64) |
(*.f64 #s(literal -1/2 binary64) eps) |
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))) |
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (* eps (cos x)) eps) |
(*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x)) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x)))) |
(PI.f64) |
#s(literal 1/2 binary64) |
(+.f64 eps x) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) |
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x)) |
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
#s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) |
(-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)) |
(*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
| Outputs |
|---|
x |
(sin.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (fabs.f64 (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) x)) |
(fma.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(fma.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 (cos.f64 x) (sin.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 x)))) |
(cos.f64 (neg.f64 (fabs.f64 (fabs.f64 x)))) |
(cos.f64 (fabs.f64 (neg.f64 (fabs.f64 x)))) |
(cos.f64 (fabs.f64 (neg.f64 (neg.f64 x)))) |
(cos.f64 (fabs.f64 (fabs.f64 (fabs.f64 x)))) |
(cos.f64 (neg.f64 (fabs.f64 x))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (fabs.f64 (fabs.f64 x))) |
(cos.f64 (fabs.f64 x)) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(+.f64 (*.f64 (neg.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 (cos.f64 x) #s(literal 1 binary64))) |
#s(literal -1/2 binary64) |
#s(literal 1/6 binary64) |
(sin.f64 x) |
eps |
(*.f64 eps (cos.f64 x)) |
(*.f64 (cos.f64 x) eps) |
#s(literal 1/24 binary64) |
(*.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps) |
(*.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x)) |
(*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) |
(*.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64))) |
(*.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))))) (+.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))) (-.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) (+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) |
(neg.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) |
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 eps) (cos.f64 x))) #s(literal 1/24 binary64))) |
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1/6 binary64) (neg.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))))) |
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1/6 binary64) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 (*.f64 (neg.f64 eps) (cos.f64 x))) #s(literal 1/24 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (sin.f64 x)) (neg.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))))) |
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) |
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) |
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 eps) (cos.f64 x))) #s(literal 1/24 binary64))) |
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (neg.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))))) |
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (neg.f64 (*.f64 (neg.f64 eps) (cos.f64 x))) #s(literal 1/24 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (neg.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x))))) |
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) |
(fma.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) |
(-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1/6 binary64))) |
(-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (neg.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) |
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(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fabs.f64 (fabs.f64 (+.f64 eps x))) (fabs.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fabs.f64 (fabs.f64 (+.f64 eps x))) (fabs.f64 x)) #s(literal 2 binary64))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fabs.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fabs.f64 (fabs.f64 (+.f64 eps x))) (neg.f64 x)) #s(literal 2 binary64))))) |
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(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (neg.f64 eps) x) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 (neg.f64 eps) x) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (neg.f64 eps) x) (fabs.f64 (fabs.f64 x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 (neg.f64 eps) x) (fabs.f64 (fabs.f64 x))) #s(literal 2 binary64))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (fabs.f64 x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 (fabs.f64 x))) #s(literal 2 binary64))))) |
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(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (neg.f64 eps) x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 (neg.f64 eps) x) x) #s(literal 2 binary64))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (fabs.f64 x)) #s(literal 2 binary64))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (neg.f64 x)) #s(literal 2 binary64))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (fabs.f64 (+.f64 eps x)) x) #s(literal 2 binary64))))) |
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(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (neg.f64 eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))) |
(-.f64 (*.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) |
(-.f64 (*.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1/2 binary64))) |
(-.f64 (*.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) (neg.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (neg.f64 (neg.f64 eps)) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (neg.f64 (*.f64 (neg.f64 eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps)) |
(+.f64 (*.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) |
(*.f64 eps (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))))) (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))))))) |
(fma.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) eps (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (*.f64 eps eps) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))) |
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))) |
(fma.f64 eps (*.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))) |
(fma.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))) |
(-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 eps) (*.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps))) |
(-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) eps)) |
(-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))))) |
(+.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (neg.f64 (sin.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (neg.f64 (sin.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (*.f64 (sin.f64 x) (sin.f64 x))) (+.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (fma.f64 (sin.f64 x) (sin.f64 x) (*.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))))) |
(neg.f64 (-.f64 (sin.f64 x) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (fma.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (-.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (sin.f64 x))) |
(fma.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) |
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64) (fma.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 x)))) |
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (sin.f64 x))) |
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (fma.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 x)))) |
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x) (-.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (sin.f64 x))) |
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (fma.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 x)))) |
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (-.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (sin.f64 x))) |
(fma.f64 eps (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (fma.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 x)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (sin.f64 x))) |
(fma.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (fma.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 x)))) |
(fma.f64 (cos.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (sin.f64 x))) |
(-.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (neg.f64 (neg.f64 (sin.f64 x)))) |
(-.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) |
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) |
(+.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (neg.f64 (sin.f64 x))) |
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 x)))) |
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)))) (sin.f64 x))) |
(*.f64 (-.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps) |
(*.f64 eps (-.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))) |
(neg.f64 (*.f64 (-.f64 (sin.f64 x) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) eps)) |
(neg.f64 (*.f64 eps (-.f64 (sin.f64 x) (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)))) |
(fma.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)) |
(fma.f64 eps (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 eps (neg.f64 (sin.f64 x)))) |
(+.f64 (*.f64 eps (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps)) (*.f64 eps (neg.f64 (sin.f64 x)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps) (*.f64 (neg.f64 (sin.f64 x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)) |
Compiled 17 765 to 4 273 computations (75.9% saved)
41 alts after pruning (35 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 709 | 22 | 731 |
| Fresh | 14 | 13 | 27 |
| Picked | 5 | 0 | 5 |
| Done | -3 | 6 | 3 |
| Total | 725 | 41 | 766 |
| Status | Accuracy | Program |
|---|---|---|
| 53.5% | (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))) | |
| 53.5% | (-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) | |
| 53.5% | (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) | |
| 53.2% | (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) | |
| 53.1% | (-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))) (cos.f64 x)) | |
| 53.2% | (-.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) (cos.f64 x)) | |
| 53.1% | (-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) | |
| 53.2% | (-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| ✓ | 53.2% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 50.8% | (-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) | |
| ✓ | 50.8% | (-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x)) |
| 80.2% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) | |
| 10.2% | (*.f64 #s(literal 2 binary64) #s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))) | |
| ▶ | 98.8% | #s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) |
| 98.3% | #s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) | |
| 50.7% | #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))) | |
| ✓ | 98.8% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)) |
| 98.7% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 #s(approx (* (cos x) eps) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)) | |
| 98.0% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps)) eps) (sin.f64 x)) eps)) | |
| 97.6% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)) | |
| 79.3% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps)) | |
| 96.1% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps)) | |
| ✓ | 98.6% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
| 98.1% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) #s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x)))) | |
| ✓ | 98.3% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
| ✓ | 97.6% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x)))) |
| 96.7% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))))) | |
| 97.3% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x)))) | |
| 96.7% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) | |
| 96.1% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) | |
| ▶ | 33.4% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))))))) |
| ▶ | 98.2% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))) |
| 96.0% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) | |
| 96.0% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))))) | |
| 51.7% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))))) | |
| ▶ | 78.0% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))))) |
| 96.3% | #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) | |
| 21.5% | #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))))) | |
| 51.8% | #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) | |
| ▶ | 96.1% | #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
| 51.7% | #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
Compiled 1 250 to 949 computations (24.1% saved)
| Inputs |
|---|
1/24 |
1/6 |
-1/2 |
-1 |
2 |
3 |
| Outputs |
|---|
#s(literal 6004799503160661/144115188075855872 binary64) |
#s(literal 6004799503160661/36028797018963968 binary64) |
#s(literal -1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
#s(literal 3 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 | 731 | 4185 |
| 1× | iter-limit |
| Inputs |
|---|
#s(literal 1/24 binary64) |
x |
(cos.f64 x) |
(*.f64 #s(literal 1/24 binary64) (cos.f64 x)) |
eps |
(sin.f64 x) |
#s(literal 1/6 binary64) |
(*.f64 (sin.f64 x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) |
(neg.f64 (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) eps) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) |
#s(literal -1 binary64) |
(*.f64 #s(literal -1 binary64) x) |
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))) |
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))))) |
(*.f64 eps x) |
#s(literal 2 binary64) |
(pow.f64 eps #s(literal 2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
(*.f64 eps #s(literal -1/2 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(neg.f64 x) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) |
(-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))) |
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))))) |
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))))))) |
(/.f64 (sin.f64 x) eps) |
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 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 (* 1/24 (cos x)) #s(literal 1/24 binary64)) |
#s(approx (* 1/24 (cos x)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* 1/24 (cos x)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/48 binary64))))) |
#s(approx (* 1/24 (cos x)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/576 binary64) (*.f64 #s(literal -1/17280 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/48 binary64))))) |
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.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(approx (sin 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 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))) |
#s(approx (* (sin x) 1/6) (*.f64 #s(literal 1/6 binary64) x)) |
#s(approx (* (sin x) 1/6) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* (sin x) 1/6) (*.f64 x (+.f64 #s(literal 1/6 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 1/36 binary64)))))) |
#s(approx (* (sin x) 1/6) (*.f64 x (+.f64 #s(literal 1/6 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 -1/30240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/36 binary64)))))) |
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (*.f64 #s(literal 1/24 binary64) eps)) |
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) |
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/48 binary64) (*.f64 eps x)))))) |
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) |
#s(approx (* -1/2 (cos x)) #s(literal -1/2 binary64)) |
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (* -1/2 (cos x)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1440 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/48 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps x))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/36 binary64) (*.f64 eps x) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) |
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/36 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))) |
#s(approx (neg (sin x)) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (neg (sin x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) |
#s(approx (neg (sin x)) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))) |
#s(approx (neg (sin x)) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))) |
#s(approx (* (neg (sin x)) eps) (*.f64 #s(literal -1 binary64) (*.f64 eps x))) |
#s(approx (* (neg (sin x)) eps) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (* (neg (sin x)) eps) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) eps)))))) |
#s(approx (* (neg (sin x)) eps) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) eps (*.f64 #s(literal 1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))) |
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (fma.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (fma.f64 x (fma.f64 #s(literal -1 binary64) eps (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (fma.f64 x (fma.f64 #s(literal -1 binary64) eps (fma.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/36 binary64) (pow.f64 eps #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (sin.f64 eps)))) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps)))))) (sin.f64 eps)))) #s(literal 1 binary64))) |
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps)) |
#s(approx (+ (* -1 x) (* -1/2 eps)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 eps x) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) |
#s(approx (* eps x) (*.f64 eps x)) |
#s(approx (pow (neg x) 3) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64)))) |
#s(approx (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 3 binary64))))) |
#s(approx (* (neg x) (neg x)) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (* (* eps -1/2) (neg x)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))) |
#s(approx (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))) |
#s(approx (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) eps)))) |
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) eps))))) |
#s(approx (/ (sin x) eps) (/.f64 x eps)) |
#s(approx (/ (sin x) eps) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (/.f64 #s(literal 1 binary64) eps)))) |
#s(approx (/ (sin x) eps) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))) |
#s(approx (/ (sin x) eps) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))) |
#s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))) |
#s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))) |
#s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (* 1/24 (cos x)) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (* (sin x) 1/6) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) |
#s(approx (* -1/2 (cos x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) |
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))) |
#s(approx (neg (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) |
#s(approx (* (neg (sin x)) eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))) |
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (fma.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64)))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
#s(approx (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) (*.f64 x (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))) |
#s(approx (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))) |
#s(approx (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))) |
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))) |
#s(approx (/ (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))))) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))) |
#s(approx (/ (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))))) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))))) |
#s(approx (/ (sin x) eps) (/.f64 (sin.f64 x) eps)) |
#s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
#s(approx (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 x))) |
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))) |
#s(approx (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 eps (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))) |
#s(approx (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))) |
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal -1/2 binary64) eps)) x))))) |
#s(approx (/ (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) (*.f64 #s(literal 1/2 binary64) eps)) x)))))) |
#s(approx (/ (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 eps (fma.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) eps)) x)))))) |
#s(approx eps eps) |
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) |
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))) |
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))) |
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))))) |
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x)))))))) |
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
#s(approx (pow eps 2) (pow.f64 eps #s(literal 2 binary64))) |
#s(approx (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps)))) |
#s(approx (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (fma.f64 eps (-.f64 (*.f64 #s(literal 1/4 binary64) eps) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps))) |
#s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)))) eps)) |
#s(approx (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))) (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))))) |
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)))) |
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))) |
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))) |
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x)))) |
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))) |
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (cos.f64 x)))) |
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))) |
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))) |
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps))))))) |
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
#s(approx (+ (* -1 (* eps x)) (* -1/2 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64)))) |
#s(approx (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 1/8 binary64)))) |
#s(approx (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))) (*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x eps))))) |
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) |
#s(approx (/ (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))))) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) |
#s(approx (/ (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))))) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 x eps))))))) |
#s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x)))))) |
#s(approx (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))) |
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x)))))) |
#s(approx (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal -1/24 binary64) (cos.f64 x)))))) |
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 x) eps))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))) |
#s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))) eps) (*.f64 #s(literal 1/24 binary64) (cos.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 x))) |
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps))))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))))) |
#s(approx (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))))) |
#s(approx (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal -1/2 binary64) x))))) |
#s(approx (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal -1/2 binary64) x)) eps))))) |
#s(approx (/ (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) x) eps)))))) |
#s(approx (/ (+ (pow (* eps -1/2) 3) (pow (neg x) 3)) (+ (* (* eps -1/2) (* eps -1/2)) (- (* (neg x) (neg x)) (* (* eps -1/2) (neg x))))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)) x) eps)))))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 24.0ms | eps | -inf |
| 11.0ms | x | -inf |
| 7.0ms | x | inf |
| 6.0ms | x | 0 |
| 6.0ms | eps | inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 628 |
| 0 | 101 | 592 |
| 1 | 496 | 567 |
| 2 | 2084 | 567 |
| 0 | 4078 | 489 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(literal 1/24 binary64) |
x |
(cos.f64 x) |
(*.f64 #s(literal 1/24 binary64) (cos.f64 x)) |
eps |
(sin.f64 x) |
#s(literal 1/6 binary64) |
(*.f64 (sin.f64 x) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal -1/2 binary64) (cos.f64 x)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) |
(neg.f64 (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) eps) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) |
#s(literal -1 binary64) |
(*.f64 #s(literal -1 binary64) x) |
#s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))) |
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))))) |
(*.f64 eps x) |
#s(literal 2 binary64) |
(pow.f64 eps #s(literal 2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
#s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
(*.f64 eps #s(literal -1/2 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) |
(neg.f64 x) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)) |
(-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))) |
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))))) |
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))))))) |
(/.f64 (sin.f64 x) eps) |
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))) |
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))) |
| Outputs |
|---|
#s(literal 1/24 binary64) |
x |
(sin.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (fabs.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) |
(fma.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(fma.f64 (neg.f64 (sin.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))) |
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) |
(cos.f64 (neg.f64 (fabs.f64 (fabs.f64 x)))) |
(cos.f64 (fabs.f64 (neg.f64 (fabs.f64 x)))) |
(cos.f64 (fabs.f64 (fabs.f64 (fabs.f64 x)))) |
(cos.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(cos.f64 (neg.f64 (fabs.f64 x))) |
(cos.f64 (fabs.f64 (fabs.f64 x))) |
(cos.f64 (fabs.f64 x)) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(+.f64 (*.f64 (neg.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 (cos.f64 x) #s(literal 1 binary64))) |
(*.f64 (cos.f64 x) #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) (cos.f64 x)) |
eps |
(neg.f64 (neg.f64 (sin.f64 x))) |
(sin.f64 (neg.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(sin.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) x))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 x) (PI.f64))) |
(sin.f64 x) |
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) (*.f64 (cos.f64 x) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 x)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (*.f64 (cos.f64 x) #s(literal 0 binary64))) |
(-.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(cos.f64 (fabs.f64 (+.f64 (+.f64 (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(cos.f64 (fabs.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(cos.f64 (fabs.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(cos.f64 (neg.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)))) |
(cos.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(cos.f64 (+.f64 (fabs.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (*.f64 (cos.f64 x) #s(literal 0 binary64))) |
#s(literal 1/6 binary64) |
(*.f64 #s(literal 1/6 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal 1/6 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) (+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) |
(neg.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))) |
(fma.f64 (*.f64 eps #s(literal 1/24 binary64)) (cos.f64 x) (neg.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) |
(fma.f64 (*.f64 eps #s(literal 1/24 binary64)) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (neg.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) eps) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (neg.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) |
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) |
(fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) |
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (neg.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) |
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(fma.f64 (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) eps (neg.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) |
(fma.f64 (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) eps (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(fma.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps) (neg.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) |
(fma.f64 (cos.f64 x) (*.f64 #s(literal 1/24 binary64) eps) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (neg.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x))) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (neg.f64 eps) (*.f64 (cos.f64 x) #s(literal 1/24 binary64)))) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (neg.f64 (*.f64 (cos.f64 x) #s(literal 1/24 binary64))) eps)) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 #s(literal -1/24 binary64) (*.f64 eps (cos.f64 x)))) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (neg.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)))) |
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (neg.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))) |
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1/24 binary64))) |
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) eps))) (/.f64 (neg.f64 (sin.f64 x)) eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) eps))) (/.f64 (neg.f64 (sin.f64 x)) eps)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (/.f64 (neg.f64 (sin.f64 x)) eps))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) eps))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (/.f64 (neg.f64 (sin.f64 x)) eps)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) (+.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (-.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (/.f64 (neg.f64 (sin.f64 x)) eps)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) eps))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (/.f64 (neg.f64 (sin.f64 x)) eps) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (/.f64 (neg.f64 (sin.f64 x)) eps)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (-.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (/.f64 (neg.f64 (sin.f64 x)) eps) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)) eps) |
(neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) eps))) |
(fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) |
(fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) eps) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) |
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (/.f64 (neg.f64 (sin.f64 x)) eps)) |
(fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) |
(fma.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) eps)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) |
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 x)) eps)) |
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) #s(literal -1 binary64))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) eps))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) |
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) |
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)))) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps))) |
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps) |
(*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps))) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (-.f64 (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)))))) |
(fma.f64 (*.f64 eps (/.f64 (sin.f64 x) eps)) #s(literal -1 binary64) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 (neg.f64 (sin.f64 x)) eps) eps (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 (sin.f64 x) eps) (neg.f64 eps) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps))) |
(fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 x) eps) eps) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps))) |
(fma.f64 eps (/.f64 (neg.f64 (sin.f64 x)) eps) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))) |
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps))) |
(fma.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps))) |
(-.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) |
(-.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps)) |
(-.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (neg.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps)) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 eps) (/.f64 (sin.f64 x) eps))) |
#s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) |
(*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) eps) |
(*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) eps)) |
Compiled 25 568 to 5 042 computations (80.3% saved)
45 alts after pruning (39 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 795 | 17 | 812 |
| Fresh | 8 | 22 | 30 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 6 | 6 |
| Total | 808 | 45 | 853 |
| Status | Accuracy | Program |
|---|---|---|
| 53.5% | (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))) | |
| 53.5% | (-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) | |
| 53.5% | (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) | |
| 53.2% | (-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) | |
| 53.1% | (-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))) (cos.f64 x)) | |
| 53.2% | (-.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) (cos.f64 x)) | |
| 53.1% | (-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) | |
| 53.2% | (-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) | |
| ✓ | 53.2% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 50.8% | (-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) | |
| ✓ | 50.8% | (-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x)) |
| 80.2% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) | |
| 10.2% | (*.f64 #s(literal 2 binary64) #s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))) | |
| 14.7% | #s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (sin.f64 (neg.f64 (+.f64 (neg.f64 x) (PI.f64)))) eps))) | |
| 97.9% | #s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) | |
| 98.1% | #s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) | |
| 98.3% | #s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) | |
| 98.8% | #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps) (*.f64 (sin.f64 x) eps))) | |
| 50.7% | #s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))) | |
| ✓ | 98.8% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)) |
| 98.7% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 #s(approx (* (cos x) eps) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)) | |
| 98.0% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps)) eps) (sin.f64 x)) eps)) | |
| 97.6% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)) | |
| 79.3% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps)) | |
| 96.1% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps)) | |
| 98.2% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) eps)) | |
| 78.0% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps)) | |
| ✓ | 98.6% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
| 98.1% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) #s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x)))) | |
| ✓ | 98.3% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
| ✓ | 97.6% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x)))) |
| 96.7% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))))) | |
| 97.3% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x)))) | |
| 96.7% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) | |
| 96.1% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) | |
| 14.2% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))) | |
| 98.2% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (/.f64 (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)) eps))))) | |
| 96.5% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))))) | |
| 96.0% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))))) | |
| 96.0% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) | |
| 51.7% | #s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))))) | |
| 51.8% | #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) | |
| 96.3% | #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))) | |
| 96.1% | #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x)))) | |
| 51.7% | #s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
Compiled 731 to 564 computations (22.8% saved)
| Inputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))))) |
| Outputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps)) |
| Inputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x)))) |
| Outputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps)) |
| Inputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))))) |
| Outputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))) |
| Inputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) |
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps)) |
| Outputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) |
| Inputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) |
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
| Outputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x)))) |
| Inputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) |
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
(-.f64 (cos.f64 (+.f64 x eps)) #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 eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x)))) |
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) |
(-.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) (cos.f64 x)) |
(-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x)) |
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x)) |
(-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))) (cos.f64 x)) |
| Outputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x)))) |
| Inputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) |
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
(-.f64 (cos.f64 (+.f64 x eps)) #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 eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x)))) |
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) |
(-.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) (cos.f64 x)) |
(-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x)) |
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x)) |
(-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))) (cos.f64 x)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) eps)) |
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (/.f64 (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) #s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x)))) |
(*.f64 #s(literal 2 binary64) #s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps)) eps) (sin.f64 x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
| Inputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) |
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
(-.f64 (cos.f64 (+.f64 x eps)) #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 eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x)))) |
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) |
(-.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) (cos.f64 x)) |
(-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x)) |
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x)) |
(-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))) (cos.f64 x)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) eps)) |
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (/.f64 (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) #s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x)))) |
(*.f64 #s(literal 2 binary64) #s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps)) eps) (sin.f64 x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
| Outputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))) |
| Inputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) |
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
(-.f64 (cos.f64 (+.f64 x eps)) #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 eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x)))) |
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) |
(-.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) (cos.f64 x)) |
(-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x)) |
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x)) |
(-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))) (cos.f64 x)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) eps)) |
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (/.f64 (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) #s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x)))) |
(*.f64 #s(literal 2 binary64) #s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps)) eps) (sin.f64 x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 #s(approx (* (cos x) eps) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) #s(approx (* eps (cos x)) eps)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
| Outputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 #s(approx (* (cos x) eps) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)) |
| Inputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (neg.f64 x))) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1/2 binary64) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64)) (*.f64 eps x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 (neg.f64 x) eps (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) #s(approx (+ (* -1 x) (* -1/2 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps x)) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 1/4 binary64) eps))) #s(literal 1 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (fma.f64 #s(literal -1 binary64) (*.f64 eps x) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps #s(approx (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) (-.f64 (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) #s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) |
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) (*.f64 #s(literal -1 binary64) (sin.f64 x))) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (* eps (cos x)) eps)) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (+ (* (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) eps) (* -1/2 (cos x))) eps) eps) (* (neg (sin x)) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* -1/2 (* eps (cos x))) (sin x))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))) |
(-.f64 (cos.f64 (+.f64 x eps)) #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 eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps #s(approx (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))))) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 #s(approx (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) eps) (sin.f64 x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 #s(approx (* -1/2 (* eps (cos x))) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 #s(literal 1/4 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (sin.f64 x)))) |
(-.f64 (cos.f64 #s(approx (+ x eps) eps)) (cos.f64 x)) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (/.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (neg.f64 x)))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (fma.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) |
(-.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) (cos.f64 x)) |
(-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x)) |
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (cos.f64 x)) |
(-.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))) (cos.f64 x)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (sin.f64 x) eps)) eps)) eps)) |
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) (sin.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (/.f64 (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/2 binary64)) (sin.f64 x)) eps))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) #s(approx (* 1/6 (sin x)) (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x)))) |
(*.f64 #s(literal 2 binary64) #s(approx (* (sin (/ (- (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2)) (cos (/ (+ (+ (* (PI) 1/2) (+ eps x)) (+ (neg x) (* (PI) 1/2))) 2))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps #s(approx (- (* -1/2 (* eps (cos x))) (sin x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x)))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 #s(literal 1/6 binary64) x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps)))))))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps)) eps) (sin.f64 x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/24 (cos x)) eps) (* (sin x) 1/6)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (fma.f64 #s(literal -1/36 binary64) x (*.f64 #s(literal -1/48 binary64) eps))))))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps #s(approx (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x))) (*.f64 #s(literal 1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 #s(approx (* (cos x) eps) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) #s(approx (* eps (cos x)) eps)) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)) |
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (sin.f64 x)))))) (sin.f64 x)))) |
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 eps (*.f64 (cos.f64 x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps) (*.f64 (sin.f64 x) eps))) |
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) |
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (neg.f64 (sin.f64 x)) eps))) |
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (cos.f64 x)) eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) eps (*.f64 (sin.f64 (neg.f64 (+.f64 (neg.f64 x) (PI.f64)))) eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) |
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x)) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))))) |
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (- (* (+ (* (cos x) -1/2) (* (+ (* 1/6 (sin x)) (* (* (cos x) eps) 1/24)) eps)) eps) (sin x)) eps) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/24 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) eps)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (*.f64 (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (neg.f64 (cos.f64 x))))) |
| Outputs |
|---|
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps) (sin.f64 x)) eps)) |
30 calls:
| 39.0ms | eps |
| 29.0ms | eps |
| 28.0ms | eps |
| 27.0ms | x |
| 23.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.0% | 1 | x |
| 78.0% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 78.0% | 1 | eps |
| 96.1% | 1 | x |
| 96.1% | 1 | eps |
| 96.1% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 96.3% | 1 | x |
| 96.3% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 96.3% | 1 | eps |
| 96.7% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 96.7% | 1 | x |
| 96.7% | 1 | eps |
| 97.6% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 97.6% | 1 | x |
| 97.6% | 1 | eps |
| 97.6% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 97.6% | 1 | x |
| 97.6% | 1 | eps |
| 98.3% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 98.3% | 1 | x |
| 98.3% | 1 | eps |
| 98.6% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 98.6% | 1 | x |
| 98.6% | 1 | eps |
| 98.7% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 98.7% | 1 | x |
| 98.7% | 1 | eps |
| 98.8% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 98.8% | 1 | x |
| 98.8% | 1 | eps |
Compiled 1 516 to 564 computations (62.8% saved)
| 1× | fuel |
Compiled 148 to 78 computations (47.3% saved)
Compiled 185 to 109 computations (41.1% saved)
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