2tan (problem 3.3.2)
Time bar (total: 7.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50.6% | 49.4% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50.6% | 49.4% | 0% | 0% | 0% | 1 |
| 0% | 0% | 50.6% | 49.4% | 0% | 0% | 0% | 2 |
| 0% | 0% | 25.3% | 49.4% | 0% | 25.3% | 0% | 3 |
| 0% | 0% | 25.3% | 49.4% | 0% | 25.3% | 0% | 4 |
| 0% | 0% | 19% | 49.4% | 0% | 31.6% | 0% | 5 |
| 0% | 0% | 15.8% | 49.4% | 0% | 34.8% | 0% | 6 |
| 0% | 0% | 11.1% | 49.4% | 0% | 39.5% | 0% | 7 |
| 0% | 0% | 8.7% | 49.4% | 0% | 41.9% | 0% | 8 |
| 0% | 0% | 5.9% | 49.4% | 0% | 44.6% | 0% | 9 |
| 0% | 0% | 4.5% | 49.4% | 0% | 46% | 0% | 10 |
| 0% | 0% | 3.1% | 49.4% | 0% | 47.5% | 0% | 11 |
| 0% | 0% | 2.7% | 49.4% | 0% | 47.9% | 0% | 12 |
Compiled 27 to 19 computations (29.6% saved)
| 2.1s | 26 077× | 0 | invalid |
| 957.0ms | 5 604× | 1 | valid |
| 161.0ms | 2 652× | 0 | valid |
ival-tan: 726.0ms (38.5% of total)ival-fabs: 313.0ms (16.6% of total)ival-add!: 186.0ms (9.9% of total)adjust: 164.0ms (8.7% of total)ival-mult!: 153.0ms (8.1% of total)ival-<: 146.0ms (7.7% of total)ival-sub!: 113.0ms (6% of total)ival-and: 68.0ms (3.6% of total)ival-assert: 14.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 227 | 3 | (8.822160854320601e-150 2.361472059502107e-152) | 5 | (-6.01688913359833e-185 8.686698557025722e-187) | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (+.f64 x eps) |
| 0 | 0 | - | 0 | - | (tan.f64 x) |
| 0 | 0 | - | 0 | - | (tan.f64 (+.f64 x eps)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) | cancellation | 225 | 11 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 222 | 5 |
| - | 3 | 26 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 222 | 5 | 0 |
| - | 3 | 6 | 20 |
| number | freq |
|---|---|
| 0 | 31 |
| 1 | 225 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 58.0ms | 358× | 1 | valid |
| 8.0ms | 152× | 0 | valid |
| 0.0ms | 2× | 2 | valid |
Compiled 47 to 22 computations (53.2% saved)
adjust: 33.0ms (66.6% of total)ival-tan: 12.0ms (24.2% of total)ival-sub!: 2.0ms (4% of total)ival-add!: 2.0ms (4% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 50 |
| 1 | 40 | 50 |
| 2 | 67 | 50 |
| 3 | 114 | 50 |
| 4 | 189 | 50 |
| 5 | 330 | 50 |
| 6 | 660 | 50 |
| 7 | 1513 | 50 |
| 8 | 2903 | 50 |
| 9 | 4334 | 50 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 61.7% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 14 to 12 computations (14.3% saved)
| Inputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(tan.f64 (+.f64 x eps)) |
(+.f64 x eps) |
x |
eps |
(tan.f64 x) |
| Outputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (+ x eps) #s(hole binary64 eps)) |
#s(approx (+ x eps) #s(hole binary64 (+ eps x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (tan x) #s(hole binary64 x)) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2)))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x))))) |
#s(approx (+ x eps) #s(hole binary64 x)) |
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x)))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x)))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x)) |
| 4.0ms | eps | @ | 0 | ((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x)) |
| 3.0ms | eps | @ | inf | ((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x)) |
| 3.0ms | x | @ | 0 | ((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x)) |
| 3.0ms | eps | @ | -inf | ((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 201 | 1262 |
| 0 | 206 | 1117 |
| 1 | 1269 | 904 |
| 0 | 8326 | 874 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(tan.f64 (+.f64 x eps)) |
(+.f64 x eps) |
x |
eps |
(tan.f64 x) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (+ x eps) #s(hole binary64 eps)) |
#s(approx (+ x eps) #s(hole binary64 (+ eps x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (tan x) #s(hole binary64 x)) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2)))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (+ eps x)) (cos (+ eps x))))) |
#s(approx (+ x eps) #s(hole binary64 x)) |
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x)))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x)))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) |
(/.f64 (neg.f64 (sin.f64 (-.f64 (+.f64 eps x) x))) (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) |
(/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x)))) |
(/.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))) |
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (cos.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (sin.f64 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (cos.f64 x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) |
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) |
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) |
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(-.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))) |
(-.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (neg.f64 (sin.f64 (neg.f64 (+.f64 eps x)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 eps x))))) |
(/.f64 (neg.f64 (+.f64 (tan.f64 x) (tan.f64 eps))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) |
(/.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (PI.f64))))) |
(/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) |
(/.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x)))) |
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(tan.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) |
(tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) |
(tan.f64 (+.f64 eps x)) |
(+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (tan.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) |
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 eps eps))) (neg.f64 (-.f64 x eps))) |
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (*.f64 x x))) (neg.f64 (-.f64 eps x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 eps eps) eps))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x eps))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x eps)) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x)) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 eps eps) eps)) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x eps)))) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x eps)))) (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x eps))))) |
(+.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))) |
(+.f64 eps x) |
(+.f64 x eps) |
x |
eps |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x)))) |
(/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64))))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 x (PI.f64))) |
(tan.f64 x) |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (tan.f64 eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))))) #s(literal 1/2 binary64)) x)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)))) x) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps))) |
#s(approx (tan (+ x eps)) (tan.f64 eps)) |
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps))) |
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 (fma.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps))) |
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))))) #s(literal 1/6 binary64)) x)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (sin.f64 eps)) (cos.f64 eps)))) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps))) |
#s(approx (+ x eps) eps) |
#s(approx (+ x eps) (+.f64 eps x)) |
#s(approx x x) |
#s(approx (tan x) x) |
#s(approx (tan x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)) |
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) |
#s(approx (tan (+ x eps)) (tan.f64 (+.f64 eps x))) |
#s(approx (+ x eps) x) |
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x)) |
#s(approx (tan x) (tan.f64 x)) |
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 eps (neg.f64 x))) (tan.f64 x))) |
#s(approx (tan (+ x eps)) (tan.f64 (-.f64 eps (neg.f64 x)))) |
#s(approx (+ x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 eps (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 (neg.f64 eps) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) #s(literal 1/6 binary64)) (sin.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)))) (cos.f64 x)))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))) eps) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)) |
#s(approx (tan (+ x eps)) (tan.f64 x)) |
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps (tan.f64 x))) |
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 (fma.f64 eps (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps (tan.f64 x))) |
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (sin.f64 x)) (cos.f64 x)))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps (tan.f64 x))) |
#s(approx eps eps) |
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x))) |
#s(approx (tan (+ x eps)) (tan.f64 (-.f64 x (neg.f64 eps)))) |
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)))) |
Compiled 1 997 to 416 computations (79.2% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 84 | 5 | 89 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 84 | 6 | 90 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 61.7% | (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) |
| ▶ | 3.3% | (-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x)) |
| ✓ | 61.7% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| ▶ | 99.6% | #s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps))) |
| ▶ | 99.7% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)) |
| ▶ | 99.3% | #s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps)) |
Compiled 205 to 136 computations (33.7% saved)
| Inputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps) |
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
(pow.f64 (tan.f64 x) #s(literal 2 binary64)) |
(tan.f64 x) |
x |
#s(literal 2 binary64) |
eps |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps)) |
(tan.f64 eps) |
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x)) |
(tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) |
(+.f64 (+.f64 eps x) (PI.f64)) |
(+.f64 eps x) |
(PI.f64) |
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)) |
(-.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) |
(*.f64 (*.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(*.f64 x (sin.f64 eps)) |
(sin.f64 eps) |
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) |
(pow.f64 (tan.f64 eps) #s(literal 2 binary64)) |
(cos.f64 eps) |
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) |
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) |
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) |
(+.f64 (tan.f64 x) (tan.f64 eps)) |
(cos.f64 x) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) |
(*.f64 (tan.f64 x) (tan.f64 eps)) |
(sin.f64 x) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)) |
| Outputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 eps)) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* eps (pow x 2))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps)))))))) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1)) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2)))) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))) |
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))) |
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))) |
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1)))) |
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2))) |
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))) |
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))) |
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))))) |
#s(approx (tan x) #s(hole binary64 x)) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2)))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (+ (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI)))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ eps (PI)))) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ eps (+ x (PI))))) |
#s(approx (+ eps x) #s(hole binary64 eps)) |
#s(approx (+ eps x) #s(hole binary64 (+ eps x))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (* x (+ (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps))))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (+ (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) |
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) |
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) |
#s(approx (* x (sin eps)) #s(hole binary64 (* x (sin eps)))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ x (/ (sin eps) (cos eps))))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (* x (+ 1 (* -1/2 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps))))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (* x (+ 1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 x))))) (/ (sin eps) (cos eps))))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ x (/ (sin eps) (cos eps))))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps))))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 x)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/6 x))))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))) 1/6)))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1)) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps)))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))))) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 1)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/2 x)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) 1/2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x)))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))))) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 x)) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* x (+ 1 (+ (/ eps x) (/ (PI) x)))))) |
#s(approx (+ eps x) #s(hole binary64 x)) |
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (* (pow x 2) (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2))))))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (sin eps) (* (pow x 2) (cos eps))) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* x (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2))))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))))) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sin eps) (* x (cos eps)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) x)) (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)))))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* x (pow (cos eps) 2))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (tan eps) #s(hole binary64 eps)) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2)))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ x (PI))) (cos (+ x (PI)))) (/ (sin x) (cos x))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI)))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))))) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ x (PI)))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (pow x 2))))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps x) (pow x 2)))))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* x (- (* 5/6 x) (* -1/2 x))))))) (pow x 2)))))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (+ (* 2/3 (* eps x)) (* x (- (* 5/6 x) (* -1/2 x)))))))) (pow x 2)))))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps x))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ eps x)))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (* 5/6 x) (* -1/2 x))))))))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (+ (* 2/3 eps) (* 5/6 x)) (* -1/2 x))))))))) |
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps x))) |
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (* 5/6 x) (* -1/2 x))))))) |
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (+ (* 5/6 x) (* (pow eps 2) (- (* 61/120 x) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))))) |
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (+ (* 5/6 x) (* (pow eps 2) (- (+ (* 61/120 x) (* (pow eps 2) (- (* 277/1008 x) (+ (* -1/2 (- (* 61/120 x) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* 5/6 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))))) |
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps x))) |
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* 5/6 (* (pow eps 2) x)))))) |
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* 61/120 (* (pow eps 2) x)) (* 5/6 x))))))) |
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* 5/6 x) (* (pow eps 2) (+ (* 277/1008 (* (pow eps 2) x)) (* 61/120 x))))))))) |
#s(approx (* x (sin eps)) #s(hole binary64 (* eps x))) |
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* -1/6 (* (pow eps 2) x)))))) |
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* 1/120 (* (pow eps 2) x)))))))) |
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) x)) (* 1/120 x))))))))) |
#s(approx (sin eps) #s(hole binary64 eps)) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2)))))) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))))) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))) |
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 1)) |
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (pow eps 2)))) |
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))) |
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2))))))))) |
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* -1 (pow eps 2)))) |
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* -2/3 (pow eps 2)) 1)))) |
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (- (* -17/45 (pow eps 2)) 2/3)) 1)))) |
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3)) 1)))) |
#s(approx (pow (tan eps) 2) #s(hole binary64 (pow eps 2))) |
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))) |
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2)))))))) |
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2)))))))))) |
#s(approx (cos eps) #s(hole binary64 1)) |
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2))))) |
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))) |
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x))))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x))))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x))))))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (sin x))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (cos x))))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x)))))))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x))))))))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin x) (cos x)))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ eps (/ (sin x) (cos x))))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x))))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (sin x))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (/ (* eps (pow (sin x) 2)) (cos x)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* -1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (pow (sin x) 2) (cos x))) (* -2/15 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* eps (sin x)) (cos x)))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* (pow eps 2) (- (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* eps (sin x)) (cos x)))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (cos x))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/3 (* (pow eps 2) (sin x)))))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/3 (sin x)) (* -2/15 (* (pow eps 2) (sin x)))))))))) |
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 eps)) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) eps)))))) |
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (sin eps) #s(hole binary64 (sin eps))) |
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) |
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) |
#s(approx (pow (tan eps) 2) #s(hole binary64 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) |
#s(approx (cos eps) #s(hole binary64 (cos eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))))) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | eps | @ | 0 | ((- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 eps (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ (+ eps x) (PI))) (tan x)) (tan (+ (+ eps x) (PI))) (+ (+ eps x) (PI)) (+ eps x) (PI) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (* x (sin eps)) (sin eps) (- 1 (neg (pow (tan eps) 2))) (neg (pow (tan eps) 2)) (pow (tan eps) 2) (cos eps) (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (+ (tan x) (tan eps)) (cos x)) (+ (tan x) (tan eps)) (cos x) (* (- 1 (* (tan x) (tan eps))) (sin x)) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (sin x) (* (- 1 (* (tan x) (tan eps))) (cos x))) |
| 29.0ms | x | @ | 0 | ((- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 eps (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ (+ eps x) (PI))) (tan x)) (tan (+ (+ eps x) (PI))) (+ (+ eps x) (PI)) (+ eps x) (PI) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (* x (sin eps)) (sin eps) (- 1 (neg (pow (tan eps) 2))) (neg (pow (tan eps) 2)) (pow (tan eps) 2) (cos eps) (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (+ (tan x) (tan eps)) (cos x)) (+ (tan x) (tan eps)) (cos x) (* (- 1 (* (tan x) (tan eps))) (sin x)) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (sin x) (* (- 1 (* (tan x) (tan eps))) (cos x))) |
| 13.0ms | eps | @ | inf | ((- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 eps (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ (+ eps x) (PI))) (tan x)) (tan (+ (+ eps x) (PI))) (+ (+ eps x) (PI)) (+ eps x) (PI) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (* x (sin eps)) (sin eps) (- 1 (neg (pow (tan eps) 2))) (neg (pow (tan eps) 2)) (pow (tan eps) 2) (cos eps) (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (+ (tan x) (tan eps)) (cos x)) (+ (tan x) (tan eps)) (cos x) (* (- 1 (* (tan x) (tan eps))) (sin x)) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (sin x) (* (- 1 (* (tan x) (tan eps))) (cos x))) |
| 10.0ms | x | @ | inf | ((- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 eps (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ (+ eps x) (PI))) (tan x)) (tan (+ (+ eps x) (PI))) (+ (+ eps x) (PI)) (+ eps x) (PI) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (* x (sin eps)) (sin eps) (- 1 (neg (pow (tan eps) 2))) (neg (pow (tan eps) 2)) (pow (tan eps) 2) (cos eps) (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (+ (tan x) (tan eps)) (cos x)) (+ (tan x) (tan eps)) (cos x) (* (- 1 (* (tan x) (tan eps))) (sin x)) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (sin x) (* (- 1 (* (tan x) (tan eps))) (cos x))) |
| 8.0ms | x | @ | -inf | ((- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 eps (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ (+ eps x) (PI))) (tan x)) (tan (+ (+ eps x) (PI))) (+ (+ eps x) (PI)) (+ eps x) (PI) (- (tan (+ x eps)) (tan x)) (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (* x (sin eps)) (sin eps) (- 1 (neg (pow (tan eps) 2))) (neg (pow (tan eps) 2)) (pow (tan eps) 2) (cos eps) (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (+ (tan x) (tan eps)) (cos x)) (+ (tan x) (tan eps)) (cos x) (* (- 1 (* (tan x) (tan eps))) (sin x)) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (sin x) (* (- 1 (* (tan x) (tan eps))) (cos x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1135 | 7514 |
| 0 | 1202 | 6576 |
| 1 | 7313 | 6576 |
| 0 | 8114 | 6352 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps) |
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
(pow.f64 (tan.f64 x) #s(literal 2 binary64)) |
(tan.f64 x) |
x |
#s(literal 2 binary64) |
eps |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps)) |
(tan.f64 eps) |
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x)) |
(tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) |
(+.f64 (+.f64 eps x) (PI.f64)) |
(+.f64 eps x) |
(PI.f64) |
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)) |
(-.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) |
(*.f64 (*.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(*.f64 x (sin.f64 eps)) |
(sin.f64 eps) |
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) |
(pow.f64 (tan.f64 eps) #s(literal 2 binary64)) |
(cos.f64 eps) |
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) |
(-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) |
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) |
(+.f64 (tan.f64 x) (tan.f64 eps)) |
(cos.f64 x) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) |
(*.f64 (tan.f64 x) (tan.f64 eps)) |
(sin.f64 x) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 eps)) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* eps (pow x 2))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps)))))))) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1)) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2)))) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))) |
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))) |
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))) |
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -62/315 (pow x 2)) 17/45)) 2/3)) 1)))) |
#s(approx (pow (tan x) 2) #s(hole binary64 (pow x 2))) |
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))) |
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))) |
#s(approx (pow (tan x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2)))))))))) |
#s(approx (tan x) #s(hole binary64 x)) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2)))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (+ (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI)))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ eps (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (pow (cos (+ eps (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (* 1/6 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2)))))))) (* -1 (/ (* (sin (+ eps (PI))) (- 1 (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (cos (+ eps (PI)))))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ eps (PI)))) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ eps (+ x (PI))))) |
#s(approx (+ eps x) #s(hole binary64 eps)) |
#s(approx (+ eps x) #s(hole binary64 (+ eps x))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (+ (* x (+ (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps))))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (+ (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) |
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) |
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) |
#s(approx (* x (sin eps)) #s(hole binary64 (* x (sin eps)))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ x (/ (sin eps) (cos eps))))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (* x (+ 1 (* -1/2 (/ (* x (sin eps)) (cos eps))))) (/ (sin eps) (cos eps))))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (* x (+ 1 (* x (+ (* -1/2 (/ (sin eps) (cos eps))) (* -1/6 x))))) (/ (sin eps) (cos eps))))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ x (/ (sin eps) (cos eps))))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps))))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 x)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/6 x))))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* x (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))) 1/6)))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1)) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps)))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))))) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 1)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/2 x)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) 1/2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
#s(approx (neg (pow (tan x) 2)) #s(hole binary64 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
#s(approx (pow (tan x) 2) #s(hole binary64 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x)))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (+ eps (+ x (PI)))) (cos (+ eps (+ x (PI))))))) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 x)) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* x (+ 1 (+ (/ eps x) (/ (PI) x)))))) |
#s(approx (+ eps x) #s(hole binary64 x)) |
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (/ (* (pow x 2) (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2))))))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (/ (sin eps) (* (pow x 2) (cos eps))) (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2)))))))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (/ (* x (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* x (+ (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)) (/ (pow (sin eps) 2) (* x (pow (cos eps) 2))))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))))) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (sin eps) (* x (cos eps)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) x)) (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps)))))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (* x (pow (cos eps) 2))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (tan eps) #s(hole binary64 eps)) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2)))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (+ x (PI))) (cos (+ x (PI)))) (/ (sin x) (cos x))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI)))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))))) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (+ x (PI)))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (pow x 2))))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps x) (pow x 2)))))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* x (- (* 5/6 x) (* -1/2 x))))))) (pow x 2)))))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) #s(hole binary64 (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (+ (* 2/3 (* eps x)) (* x (- (* 5/6 x) (* -1/2 x)))))))) (pow x 2)))))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps x))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ eps x)))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (* 5/6 x) (* -1/2 x))))))))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) #s(hole binary64 (* eps (+ x (* eps (+ 1 (* eps (- (+ (* 2/3 eps) (* 5/6 x)) (* -1/2 x))))))))) |
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps x))) |
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (* 5/6 x) (* -1/2 x))))))) |
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (+ (* 5/6 x) (* (pow eps 2) (- (* 61/120 x) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))))) |
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (- (+ (* 5/6 x) (* (pow eps 2) (- (+ (* 61/120 x) (* (pow eps 2) (- (* 277/1008 x) (+ (* -1/2 (- (* 61/120 x) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x)))) (+ (* -1/720 x) (* 1/24 (- (* 5/6 x) (* -1/2 x)))))))) (+ (* -1/2 (- (* 5/6 x) (* -1/2 x))) (* 1/24 x))))) (* -1/2 x))))))) |
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps x))) |
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* 5/6 (* (pow eps 2) x)))))) |
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* 61/120 (* (pow eps 2) x)) (* 5/6 x))))))) |
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* 5/6 x) (* (pow eps 2) (+ (* 277/1008 (* (pow eps 2) x)) (* 61/120 x))))))))) |
#s(approx (* x (sin eps)) #s(hole binary64 (* eps x))) |
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* -1/6 (* (pow eps 2) x)))))) |
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* 1/120 (* (pow eps 2) x)))))))) |
#s(approx (* x (sin eps)) #s(hole binary64 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* (pow eps 2) (+ (* -1/5040 (* (pow eps 2) x)) (* 1/120 x))))))))) |
#s(approx (sin eps) #s(hole binary64 eps)) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2)))))) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))))) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))) |
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 1)) |
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (pow eps 2)))) |
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))) |
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2))))))))) |
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* -1 (pow eps 2)))) |
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* -2/3 (pow eps 2)) 1)))) |
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (- (* -17/45 (pow eps 2)) 2/3)) 1)))) |
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3)) 1)))) |
#s(approx (pow (tan eps) 2) #s(hole binary64 (pow eps 2))) |
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))))) |
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2)))))))) |
#s(approx (pow (tan eps) 2) #s(hole binary64 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2)))))))))) |
#s(approx (cos eps) #s(hole binary64 1)) |
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2))))) |
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))) |
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x))))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x))))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x))))))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (sin x))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (cos x))))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* 1/3 (* (pow eps 2) (cos x)))))))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* (pow eps 2) (+ (* 2/15 (* (pow eps 2) (cos x))) (* 1/3 (cos x))))))))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (/ (sin x) (cos x)))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ eps (/ (sin x) (cos x))))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x))))) |
#s(approx (+ (tan x) (tan eps)) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (sin x))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* -1 (/ (* eps (pow (sin x) 2)) (cos x)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* -1/3 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1 (/ (pow (sin x) 2) (cos x))) (* (pow eps 2) (+ (* -1/3 (/ (pow (sin x) 2) (cos x))) (* -2/15 (/ (* (pow eps 2) (pow (sin x) 2)) (cos x)))))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* eps (sin x)) (cos x)))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* (pow eps 2) (- (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* eps (sin x)) (cos x)))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (cos x))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/3 (* (pow eps 2) (sin x)))))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/3 (sin x)) (* -2/15 (* (pow eps 2) (sin x)))))))))) |
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 eps)) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) eps)))))) |
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (sin eps) #s(hole binary64 (sin eps))) |
#s(approx (- 1 (neg (pow (tan eps) 2))) #s(hole binary64 (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) |
#s(approx (neg (pow (tan eps) 2)) #s(hole binary64 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) |
#s(approx (pow (tan eps) 2) #s(hole binary64 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) |
#s(approx (cos eps) #s(hole binary64 (cos eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) #s(hole binary64 (- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin x) (cos x))))) |
#s(approx (tan (+ (+ eps x) (PI))) #s(hole binary64 (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))))) |
#s(approx (+ (+ eps x) (PI)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
| Outputs |
|---|
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps) |
(*.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))))))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (tan.f64 x) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 1 binary64))) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(pow.f64 (tan.f64 x) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(tan.f64 (+.f64 (PI.f64) x)) |
(tan.f64 x) |
x |
#s(literal 2 binary64) |
eps |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (tan.f64 eps)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (neg.f64 (cos.f64 eps)))) |
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(tan.f64 (+.f64 (PI.f64) eps)) |
(tan.f64 eps) |
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) |
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))))) |
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x))) |
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(/.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x)))) |
(/.f64 (neg.f64 (sin.f64 (+.f64 (PI.f64) (+.f64 eps x)))) (neg.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))))) |
(/.f64 (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (PI.f64))))) |
(/.f64 (sin.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 (+.f64 (PI.f64) (+.f64 eps x)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) (+.f64 eps x)) (PI.f64))) |
(tan.f64 (+.f64 (PI.f64) (+.f64 eps x))) |
(tan.f64 (+.f64 eps x)) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) x))) (-.f64 eps (+.f64 (PI.f64) x))) |
(/.f64 (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (+.f64 eps x) (PI.f64))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 (PI.f64) x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) x)) (*.f64 eps (+.f64 (PI.f64) x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 eps x) (PI.f64))))) |
(+.f64 (+.f64 (PI.f64) x) eps) |
(+.f64 (PI.f64) (+.f64 eps x)) |
(+.f64 (+.f64 eps x) (PI.f64)) |
(+.f64 eps (+.f64 (PI.f64) x)) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x 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 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 eps x)))) |
(+.f64 eps x) |
(+.f64 x eps) |
(PI.f64) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (fma.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x) (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x) (tan.f64 eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x) (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x) (tan.f64 eps))))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)) |
(fma.f64 x (-.f64 (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (tan.f64 eps)) |
(+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x) (tan.f64 eps)) |
(+.f64 (tan.f64 eps) (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)))) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (fma.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (fma.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))) |
(-.f64 (*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sin.f64 eps) x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (sin.f64 eps) x))) (neg.f64 (cos.f64 eps))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (sin.f64 eps) x)) (cos.f64 eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (sin.f64 eps) x)) |
(*.f64 (*.f64 (sin.f64 eps) x) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(*.f64 x (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))) |
(*.f64 (sin.f64 eps) x) |
(*.f64 x (sin.f64 eps)) |
(sin.f64 eps) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) |
(neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 1 binary64)) (pow.f64 (tan.f64 eps) #s(literal 1 binary64))) |
(*.f64 (tan.f64 eps) (tan.f64 eps)) |
(pow.f64 (tan.f64 eps) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (tan.f64 eps)) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (tan.f64 eps)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (tan.f64 eps)) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 eps)) |
(cos.f64 eps) |
(/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (cos.f64 x)) |
(/.f64 (/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))) |
(/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) |
(-.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))) (fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (fma.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))))) |
(fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (sin.f64 x))) |
(fma.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (sin.f64 x))) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) |
(-.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (sin.f64 x))) |
(+.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) |
(*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) |
(*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) |
(fma.f64 (cos.f64 x) (tan.f64 eps) (*.f64 (cos.f64 x) (tan.f64 x))) |
(fma.f64 (tan.f64 eps) (cos.f64 x) (*.f64 (tan.f64 x) (cos.f64 x))) |
(+.f64 (*.f64 (tan.f64 eps) (cos.f64 x)) (*.f64 (tan.f64 x) (cos.f64 x))) |
(+.f64 (*.f64 (cos.f64 x) (tan.f64 eps)) (*.f64 (cos.f64 x) (tan.f64 x))) |
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (tan.f64 eps) (tan.f64 x))) |
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (tan.f64 x) (tan.f64 eps))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (tan.f64 eps))))) |
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 (tan.f64 x) (tan.f64 eps))))) |
(/.f64 (sin.f64 (+.f64 eps x)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(+.f64 (tan.f64 x) (tan.f64 eps)) |
(+.f64 (tan.f64 eps) (tan.f64 x)) |
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps))) |
(*.f64 (tan.f64 x) (tan.f64 eps)) |
(*.f64 (tan.f64 eps) (tan.f64 x)) |
(*.f64 (sin.f64 eps) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 eps)) (cos.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (neg.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(sin.f64 x) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)) |
(*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (tan.f64 eps)) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (fma.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (tan.f64 eps))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (sin.f64 eps) x) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))))) (cos.f64 eps)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) x (tan.f64 eps))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))))) #s(literal 1/2 binary64)) x)) (neg.f64 (*.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) (cos.f64 eps))))) x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) x (tan.f64 eps))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) eps) eps) (*.f64 x x) eps)) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 2/3 binary64) eps)) (*.f64 x x) eps) (*.f64 x x) eps)) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64)) |
#s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 x x #s(literal 1 binary64))) |
#s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (neg (pow (tan x) 2)) (neg.f64 (*.f64 x x))) |
#s(approx (neg (pow (tan x) 2)) (*.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (neg (pow (tan x) 2)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -17/45 binary64) (*.f64 x x)) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (neg (pow (tan x) 2)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -62/315 binary64) (*.f64 x x)) #s(literal 17/45 binary64)) (*.f64 x x)) #s(literal 2/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (pow (tan x) 2) (*.f64 x x)) |
#s(approx (pow (tan x) 2) (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (pow (tan x) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 x x) #s(literal 17/45 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (tan x) x) |
#s(approx (tan x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (tan x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx x x) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (tan.f64 eps)) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (fma.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps)))))) (tan.f64 eps))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (fma.f64 (-.f64 (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps)))))))) (neg.f64 (sin.f64 eps))) (neg.f64 (cos.f64 eps)))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps)))))))) x (tan.f64 eps))) |
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#s(approx (tan (+ (+ eps x) (PI))) (tan.f64 eps)) |
#s(approx (tan (+ (+ eps x) (PI))) (fma.f64 x (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps)))))))) (tan.f64 eps))) |
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#s(approx (tan (+ (+ eps x) (PI))) (fma.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps)))))))) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps)))))) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps))))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps))))))))) #s(literal 1/6 binary64)) x)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps)))))))) (neg.f64 (sin.f64 eps))) (neg.f64 (cos.f64 eps))))) x #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) eps)))))))) x (tan.f64 eps))) |
#s(approx (+ (+ eps x) (PI)) (+.f64 (PI.f64) eps)) |
#s(approx (+ (+ eps x) (PI)) (+.f64 (PI.f64) (+.f64 eps x))) |
#s(approx (+ eps x) eps) |
#s(approx (+ eps x) (+.f64 eps x)) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (tan.f64 eps)) |
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#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (fma.f64 (fma.f64 x (*.f64 (sin.f64 eps) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) #s(literal 1 binary64)) (cos.f64 eps))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))) x (tan.f64 eps))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (fma.f64 x (*.f64 (sin.f64 eps) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) #s(literal 1 binary64)) (cos.f64 eps))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) |
#s(approx (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (/.f64 (*.f64 (*.f64 (sin.f64 eps) x) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) #s(literal 1 binary64))) (cos.f64 eps))) |
#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (*.f64 (*.f64 (sin.f64 eps) x) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) #s(literal 1 binary64)))) |
#s(approx (* x (sin eps)) (*.f64 (sin.f64 eps) x)) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (tan.f64 eps)) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (fma.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (tan.f64 eps))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (fma.f64 (-.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (neg.f64 (tan.f64 eps)))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) x (tan.f64 eps))) |
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#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (tan.f64 eps)) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (fma.f64 (*.f64 (tan.f64 eps) #s(literal 1/2 binary64)) (*.f64 x x) (tan.f64 eps))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (tan.f64 eps) #s(literal 1/24 binary64)) (*.f64 (tan.f64 eps) #s(literal -1/6 binary64))) (*.f64 x x) (*.f64 (tan.f64 eps) #s(literal -1/2 binary64))) (neg.f64 (tan.f64 eps))) (*.f64 x x) (tan.f64 eps))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (tan.f64 eps) #s(literal -1/720 binary64)) (fma.f64 #s(literal -2/15 binary64) (tan.f64 eps) (*.f64 (tan.f64 eps) #s(literal 17/360 binary64)))) (*.f64 x x) (*.f64 (tan.f64 eps) #s(literal 1/24 binary64))) (*.f64 (tan.f64 eps) #s(literal -1/6 binary64))) (*.f64 x x) (*.f64 (tan.f64 eps) #s(literal -1/2 binary64))) (neg.f64 (tan.f64 eps))) (*.f64 x x) (tan.f64 eps))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) (tan.f64 eps)) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) (+.f64 (tan.f64 eps) x)) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) (fma.f64 (fma.f64 (*.f64 x (tan.f64 eps)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x (tan.f64 eps))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x (*.f64 (tan.f64 eps) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) x (tan.f64 eps))) |
#s(approx (+ (tan x) (tan eps)) (tan.f64 eps)) |
#s(approx (+ (tan x) (tan eps)) (+.f64 (tan.f64 eps) x)) |
#s(approx (+ (tan x) (tan eps)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x (tan.f64 eps))) |
#s(approx (+ (tan x) (tan eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x (tan.f64 eps))) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) x) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) (*.f64 (+.f64 (neg.f64 (*.f64 x (tan.f64 eps))) #s(literal 1 binary64)) x)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x (neg.f64 (tan.f64 eps))) x #s(literal 1 binary64)) x)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) (*.f64 (fma.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 (tan.f64 eps) #s(literal -1/6 binary64)) x) #s(literal 1/6 binary64)) x (neg.f64 (tan.f64 eps))) #s(literal 1 binary64)) x)) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(literal 1 binary64)) |
#s(approx (- 1 (* (tan x) (tan eps))) (+.f64 (neg.f64 (*.f64 x (tan.f64 eps))) #s(literal 1 binary64))) |
#s(approx (- 1 (* (tan x) (tan eps))) (fma.f64 x (-.f64 (*.f64 (*.f64 (*.f64 x x) (tan.f64 eps)) #s(literal -1/3 binary64)) (tan.f64 eps)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (tan x) (tan eps))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (tan.f64 eps)) #s(literal -2/15 binary64) (*.f64 (tan.f64 eps) #s(literal -1/3 binary64))) (*.f64 x x)) (tan.f64 eps)) x #s(literal 1 binary64))) |
#s(approx (* (tan x) (tan eps)) (*.f64 x (tan.f64 eps))) |
#s(approx (* (tan x) (tan eps)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (tan.f64 eps)) #s(literal 1/3 binary64) (tan.f64 eps)) x)) |
#s(approx (* (tan x) (tan eps)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (tan.f64 eps)) #s(literal 2/15 binary64) (*.f64 (tan.f64 eps) #s(literal 1/3 binary64))) (*.f64 x x) (tan.f64 eps)) x)) |
#s(approx (* (tan x) (tan eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (tan.f64 eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (tan.f64 eps)) #s(literal 17/315 binary64) (*.f64 (tan.f64 eps) #s(literal 2/15 binary64))) (*.f64 x x))) (*.f64 x x) (tan.f64 eps)) x)) |
#s(approx (sin x) x) |
#s(approx (sin x) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(literal 1 binary64)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) (+.f64 (neg.f64 (*.f64 x (tan.f64 eps))) #s(literal 1 binary64))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (neg.f64 (tan.f64 eps))) x #s(literal 1 binary64))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) (fma.f64 x (fma.f64 (-.f64 (*.f64 (*.f64 (tan.f64 eps) #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)) x (neg.f64 (tan.f64 eps))) #s(literal 1 binary64))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) eps)) |
#s(approx (- 1 (neg (pow (tan x) 2))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64))) |
#s(approx (neg (pow (tan x) 2)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) |
#s(approx (pow (tan x) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) |
#s(approx (tan x) (tan.f64 x)) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) |
#s(approx (tan (+ (+ eps x) (PI))) (tan.f64 (+.f64 eps x))) |
#s(approx (+ (+ eps x) (PI)) x) |
#s(approx (+ (+ eps x) (PI)) (*.f64 (+.f64 (/.f64 (+.f64 (PI.f64) eps) x) #s(literal 1 binary64)) x)) |
#s(approx (+ eps x) x) |
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (/.f64 (*.f64 (*.f64 (*.f64 x x) (sin.f64 eps)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) #s(literal 1 binary64))) (cos.f64 eps))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) #s(literal 1 binary64)) (cos.f64 eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) x))) (*.f64 x x))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (*.f64 (+.f64 (/.f64 (sin.f64 eps) (*.f64 (*.f64 x x) (cos.f64 eps))) (fma.f64 (sin.f64 eps) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) #s(literal 1 binary64)) (cos.f64 eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) x)))) (*.f64 x x))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (/.f64 (*.f64 (*.f64 (sin.f64 eps) x) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) #s(literal 1 binary64))) (cos.f64 eps))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) #s(literal 1 binary64)) (cos.f64 eps)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) x))) x)) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) |
#s(approx (+ (tan x) (tan eps)) (+.f64 (tan.f64 x) (tan.f64 eps))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) |
#s(approx (- 1 (* (tan x) (tan eps))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) |
#s(approx (* (tan x) (tan eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (-.f64 (tan.f64 (-.f64 eps (neg.f64 x))) (tan.f64 x))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (-.f64 (tan.f64 (-.f64 (+.f64 (PI.f64) eps) (neg.f64 x))) (tan.f64 x))) |
#s(approx (tan (+ (+ eps x) (PI))) (tan.f64 (-.f64 (+.f64 (PI.f64) eps) (neg.f64 x)))) |
#s(approx (+ (+ eps x) (PI)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (+.f64 (PI.f64) eps) x)) #s(literal 1 binary64)))) |
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))) |
#s(approx (+ (* (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) x) (tan eps)) (*.f64 (fma.f64 (sin.f64 eps) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) #s(literal 1 binary64)) (cos.f64 eps)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) x))) (*.f64 x x))) |
#s(approx (- (/ (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (cos eps)) (neg (pow (tan eps) 2))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) x))) (neg.f64 (*.f64 (sin.f64 eps) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) #s(literal 1 binary64)) (cos.f64 eps))))))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps)) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (*.f64 (-.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (cos.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps)) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (cos.f64 x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps)) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 (neg.f64 eps) (fma.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (cos.f64 x))) #s(literal -1/2 binary64) (fma.f64 (sin.f64 x) (/.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) #s(literal 1/6 binary64)) (cos.f64 x)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (sin.f64 x))) (cos.f64 x))))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))) eps) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (cos.f64 x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps)) |
#s(approx eps eps) |
#s(approx (tan eps) eps) |
#s(approx (tan eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)) |
#s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (-.f64 (tan.f64 x) (tan.f64 x))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (-.f64 (fma.f64 eps (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) x)))))))) (tan.f64 x)) (tan.f64 x))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (fma.f64 (-.f64 (fma.f64 eps (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) x)))))))) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) x)))))))) eps (-.f64 (tan.f64 x) (tan.f64 x)))) |
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#s(approx (tan (+ (+ eps x) (PI))) (tan.f64 x)) |
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#s(approx (+ (+ eps x) (PI)) (+.f64 (PI.f64) x)) |
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#s(approx (* (* x (sin eps)) (- 1 (neg (pow (tan eps) 2)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) x) #s(literal 61/120 binary64) (*.f64 #s(literal 5/6 binary64) x)) (*.f64 eps eps) x) eps)) |
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#s(approx (* x (sin eps)) (*.f64 eps x)) |
#s(approx (* x (sin eps)) (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) x) #s(literal -1/6 binary64) x) eps)) |
#s(approx (* x (sin eps)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) x) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 eps eps) x) eps)) |
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#s(approx (sin eps) eps) |
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#s(approx (- 1 (neg (pow (tan eps) 2))) #s(literal 1 binary64)) |
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#s(approx (neg (pow (tan eps) 2)) (neg.f64 (*.f64 eps eps))) |
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#s(approx (pow (tan eps) 2) (*.f64 eps eps)) |
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#s(approx (cos eps) #s(literal 1 binary64)) |
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#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (*.f64 (-.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps)) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 (cos.f64 x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))) eps) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps)) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 eps) (fma.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal -1/3 binary64) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 (cos.f64 x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))) (cos.f64 x))))) #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 (cos.f64 x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))) eps) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps)) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (*.f64 (-.f64 (cos.f64 x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) eps)) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (*.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (cos.f64 x)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) eps)) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (*.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) eps)) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (*.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 17/315 binary64) (*.f64 #s(literal 17/315 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 2/15 binary64))) (/.f64 (*.f64 #s(literal -2/15 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) eps)) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) (sin.f64 x)) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) (fma.f64 (cos.f64 x) eps (sin.f64 x))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) (fma.f64 eps (fma.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal 1/3 binary64) (cos.f64 x)) (sin.f64 x))) |
#s(approx (* (+ (tan x) (tan eps)) (cos x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) #s(literal 2/15 binary64) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (*.f64 eps eps) (cos.f64 x)) eps (sin.f64 x))) |
#s(approx (+ (tan x) (tan eps)) (tan.f64 x)) |
#s(approx (+ (tan x) (tan eps)) (+.f64 (tan.f64 x) eps)) |
#s(approx (+ (tan x) (tan eps)) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps (tan.f64 x))) |
#s(approx (+ (tan x) (tan eps)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps (tan.f64 x))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) (sin.f64 x)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) (+.f64 (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) eps) (cos.f64 x))) (sin.f64 x))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) eps (sin.f64 x))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (sin x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))) #s(literal -2/15 binary64) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) eps (sin.f64 x))) |
#s(approx (- 1 (* (tan x) (tan eps))) (+.f64 (neg.f64 (*.f64 eps (tan.f64 x))) #s(literal 1 binary64))) |
#s(approx (- 1 (* (tan x) (tan eps))) (fma.f64 eps (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (tan.f64 x)) #s(literal -1/3 binary64)) (tan.f64 x)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (tan x) (tan eps))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (tan.f64 x)) #s(literal -2/15 binary64) (*.f64 #s(literal -1/3 binary64) (tan.f64 x))) (*.f64 eps eps)) (tan.f64 x)) eps #s(literal 1 binary64))) |
#s(approx (* (tan x) (tan eps)) (*.f64 eps (tan.f64 x))) |
#s(approx (* (tan x) (tan eps)) (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (tan.f64 x)) #s(literal 1/3 binary64) (tan.f64 x)) eps)) |
#s(approx (* (tan x) (tan eps)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) (tan.f64 x)) #s(literal 2/15 binary64) (*.f64 (tan.f64 x) #s(literal 1/3 binary64))) (*.f64 eps eps) (tan.f64 x)) eps)) |
#s(approx (* (tan x) (tan eps)) (*.f64 (fma.f64 (fma.f64 (tan.f64 x) #s(literal 1/3 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (tan.f64 x)) #s(literal 17/315 binary64) (*.f64 (tan.f64 x) #s(literal 2/15 binary64))) (*.f64 eps eps))) (*.f64 eps eps) (tan.f64 x)) eps)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) (cos.f64 x)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) (fma.f64 eps (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)) (sin.f64 x) (neg.f64 (sin.f64 x))) (cos.f64 x))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) (fma.f64 eps (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) #s(literal -2/15 binary64) (*.f64 (sin.f64 x) #s(literal -1/3 binary64))) (*.f64 eps eps) (neg.f64 (sin.f64 x))) (cos.f64 x))) |
#s(approx (tan eps) (tan.f64 eps)) |
#s(approx (+ (+ eps x) (PI)) eps) |
#s(approx (+ (+ eps x) (PI)) (*.f64 (+.f64 (/.f64 (+.f64 (PI.f64) x) eps) #s(literal 1 binary64)) eps)) |
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps)) |
#s(approx (sin eps) (sin.f64 eps)) |
#s(approx (- 1 (neg (pow (tan eps) 2))) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) #s(literal 1 binary64))) |
#s(approx (neg (pow (tan eps) 2)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) |
#s(approx (pow (tan eps) 2) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))) |
#s(approx (cos eps) (cos.f64 eps)) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x))) |
#s(approx (- (tan (+ (+ eps x) (PI))) (tan x)) (-.f64 (tan.f64 (-.f64 (+.f64 (PI.f64) x) (neg.f64 eps))) (tan.f64 x))) |
#s(approx (tan (+ (+ eps x) (PI))) (tan.f64 (-.f64 (+.f64 (PI.f64) x) (neg.f64 eps)))) |
#s(approx (+ (+ eps x) (PI)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (+.f64 (PI.f64) x) eps)) #s(literal 1 binary64)))) |
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)))) |
Compiled 21 244 to 2 463 computations (88.4% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 537 | 10 | 547 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 540 | 13 | 553 |
| Status | Accuracy | Program |
|---|---|---|
| 61.7% | (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))) (cos.f64 x))) | |
| ▶ | 3.3% | (/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x))) |
| 61.7% | (/.f64 (-.f64 (*.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps (tan.f64 x))) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) | |
| ▶ | 100.0% | (/.f64 #s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (*.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) |
| ✓ | 3.3% | (-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x)) |
| ✓ | 61.7% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| ✓ | 99.7% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)) |
| ▶ | 99.7% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)) |
| 3.0% | #s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (PI.f64) eps))) | |
| 99.6% | #s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps))) | |
| ▶ | 99.3% | #s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps)) |
| 99.3% | #s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))) | |
| ▶ | 99.3% | #s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))) |
Compiled 697 to 416 computations (40.3% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (*.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (*.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) eps)) |
(*.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) eps) |
(-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) |
(fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) |
(-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) |
(fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) |
(fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) |
(cos.f64 x) |
x |
#s(literal 2/15 binary64) |
(*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) |
(cos.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(*.f64 eps eps) |
eps |
(*.f64 (cos.f64 x) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x)) |
(*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) |
#s(literal -1/3 binary64) |
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) |
#s(literal 1 binary64) |
(*.f64 (tan.f64 x) (tan.f64 eps)) |
(tan.f64 x) |
(tan.f64 eps) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps)) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))) |
#s(approx (tan eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)) |
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps) |
(fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)) |
(*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps) |
#s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 2/3 binary64) |
(*.f64 x x) |
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x))) |
(-.f64 (*.f64 (sin.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (sin.f64 x))) |
(*.f64 (sin.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x)) |
(sin.f64 (+.f64 (PI.f64) (+.f64 eps x))) |
(+.f64 (PI.f64) (+.f64 eps x)) |
(PI.f64) |
(+.f64 eps x) |
(*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (sin.f64 x)) |
(cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) |
(sin.f64 x) |
(*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) #s(hole binary64 (+ (* eps (* (pow x 2) (+ 1/2 (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2))))))) (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 5/24 (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2))))))) (* eps (+ 1/2 (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2))))))))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (* (pow x 2) (+ (* eps (+ 1/2 (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 61/720 (* (pow eps 2) (+ 61/2160 (* 61/5400 (pow eps 2))))))) (* eps (+ 5/24 (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2))))))))))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (+ 1/2 (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))))))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (+ 1/2 (+ (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) (* (pow x 2) (+ 5/24 (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2))))))))))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (+ 1/2 (+ (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) (* (pow x 2) (+ 5/24 (+ (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2)))) (* (pow x 2) (+ 61/720 (* (pow eps 2) (+ 61/2160 (* 61/5400 (pow eps 2)))))))))))))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (- (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) 1/2)))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) (* (pow x 2) (+ 1/24 (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2))))))) 1/2)))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) (* (pow x 2) (+ 1/24 (+ (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2)))) (* (pow x 2) (- (* (pow eps 2) (+ 61/2160 (* 61/5400 (pow eps 2)))) 1/720)))))) 1/2)))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (+ 1/6 (* 1/15 (pow eps 2)))))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (+ 1/6 (+ (* 1/15 (pow eps 2)) (* (pow x 2) (+ 5/72 (* 1/36 (pow eps 2))))))))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (+ 1/6 (+ (* 1/15 (pow eps 2)) (* (pow x 2) (+ 5/72 (+ (* 1/36 (pow eps 2)) (* (pow x 2) (+ 61/2160 (* 61/5400 (pow eps 2)))))))))))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (- (* 1/15 (pow eps 2)) 1/6)))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (- (+ (* 1/15 (pow eps 2)) (* (pow x 2) (+ 1/72 (* 1/36 (pow eps 2))))) 1/6)))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (- (+ (* 1/15 (pow eps 2)) (* (pow x 2) (+ 1/72 (+ (* 1/36 (pow eps 2)) (* (pow x 2) (- (* 61/5400 (pow eps 2)) 1/2160)))))) 1/6)))))) |
#s(approx (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 2/15)) |
#s(approx (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (+ 2/15 (* 1/15 (pow x 2))))) |
#s(approx (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (+ 2/15 (* (pow x 2) (+ 1/15 (* 1/36 (pow x 2))))))) |
#s(approx (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (+ 2/15 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 1/36 (* 61/5400 (pow x 2))))))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* 2/15 (pow x 2)))) |
#s(approx (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* (pow x 2) (+ 2/15 (* 1/45 (pow x 2)))))) |
#s(approx (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 1/45 (* 31/2700 (pow x 2)))))))) |
#s(approx (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 31/2700 (* 173/37800 (pow x 2)))))))))) |
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (pow x 2))) |
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2)))))) |
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2)))))))) |
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2)))))))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (pow x 2))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx (* (cos x) 1/3) #s(hole binary64 1/3)) |
#s(approx (* (cos x) 1/3) #s(hole binary64 (+ 1/3 (* -1/6 (pow x 2))))) |
#s(approx (* (cos x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))))) |
#s(approx (* (cos x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/2160 (pow x 2)))) 1/6))))) |
#s(approx (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x)) #s(hole binary64 (* -1/3 (pow x 2)))) |
#s(approx (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x)) #s(hole binary64 (* (pow x 2) (- (* -1/18 (pow x 2)) 1/3)))) |
#s(approx (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -31/1080 (pow x 2)) 1/18)) 1/3)))) |
#s(approx (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/15120 (pow x 2)) 31/1080)) 1/18)) 1/3)))) |
#s(approx (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* -1/3 (pow x 2)))) |
#s(approx (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3)))) |
#s(approx (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -2/135 (pow x 2)))) 1/3)))) |
#s(approx (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* (pow x 2) (- (* 1/945 (pow x 2)) 2/135)))) 1/3)))) |
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* (pow x 2) (- (* -1/6 (pow x 2)) 1)))) |
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1)))) |
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/5040 (pow x 2)) 31/360)) 1/6)) 1)))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 1)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/2 x)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) 1/2))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1)) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps)))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))))) |
#s(approx (tan x) #s(hole binary64 x)) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2)))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 eps)) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* eps (pow x 2))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps)))))))) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1)) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2)))) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (pow x 2)))) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))) |
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (+ (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 3) (pow (cos (+ eps (PI))) 3)))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))) (+ (/ (* (sin (+ eps (PI))) (+ (* -1 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 3) (pow (cos (+ eps (PI))) 3))))) (cos (+ eps (PI)))) (/ (* (sin (+ eps (PI))) (+ (* 1/6 (sin (+ eps (PI)))) (* 1/2 (sin (+ eps (PI)))))) (pow (cos (+ eps (PI))) 2)))))) (+ (* -1 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 3) (pow (cos (+ eps (PI))) 3)))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (sin (+ eps (PI))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* (pow x 4) (- (+ (* 1/12 (sin (+ eps (PI)))) (* 1/4 (sin (+ eps (PI))))) (* 1/3 (sin (+ eps (PI))))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* (pow x 4) (- (+ (* 1/12 (sin (+ eps (PI)))) (+ (* 1/4 (sin (+ eps (PI)))) (* (pow x 2) (- (+ (* -1/24 (sin (+ eps (PI)))) (* -1/360 (sin (+ eps (PI))))) (+ (* -1/36 (sin (+ eps (PI)))) (* -1/60 (sin (+ eps (PI))))))))) (* 1/3 (sin (+ eps (PI))))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* (pow x 4) (- (+ (* 1/12 (sin (+ eps (PI)))) (+ (* 1/4 (sin (+ eps (PI)))) (* (pow x 2) (- (+ (* -1/24 (sin (+ eps (PI)))) (+ (* -1/360 (sin (+ eps (PI)))) (* (pow x 2) (- (+ (* 1/20160 (sin (+ eps (PI)))) (+ (* 1/720 (sin (+ eps (PI)))) (* 1/576 (sin (+ eps (PI)))))) (+ (* 1/2520 (sin (+ eps (PI)))) (* 1/360 (sin (+ eps (PI))))))))) (+ (* -1/36 (sin (+ eps (PI)))) (* -1/60 (sin (+ eps (PI))))))))) (* 1/3 (sin (+ eps (PI))))))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (sin (+ eps (PI))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (sin (+ eps (PI))) (* x (cos (+ eps (PI))))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (sin (+ eps (PI))) (* x (+ (cos (+ eps (PI))) (* -1 (* x (sin (+ eps (PI)))))))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (sin (+ eps (PI))) (* x (+ (cos (+ eps (PI))) (* x (+ (* -1 (sin (+ eps (PI)))) (* x (+ (* -1/2 (cos (+ eps (PI)))) (* -1/6 (cos (+ eps (PI))))))))))))) |
#s(approx (sin (+ (PI) (+ eps x))) #s(hole binary64 (sin (+ eps (PI))))) |
#s(approx (sin (+ (PI) (+ eps x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* x (cos (+ eps (PI))))))) |
#s(approx (sin (+ (PI) (+ eps x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* x (+ (cos (+ eps (PI))) (* -1/2 (* x (sin (+ eps (PI)))))))))) |
#s(approx (sin (+ (PI) (+ eps x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* x (+ (cos (+ eps (PI))) (* x (+ (* -1/2 (sin (+ eps (PI)))) (* -1/6 (* x (cos (+ eps (PI)))))))))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (+ eps (PI)))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (+ eps (+ x (PI))))) |
#s(approx (+ eps x) #s(hole binary64 eps)) |
#s(approx (+ eps x) #s(hole binary64 (+ eps x))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) #s(hole binary64 (* x (cos (+ eps (PI)))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) #s(hole binary64 (* x (+ (cos (+ eps (PI))) (* -1 (* x (sin (+ eps (PI))))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) #s(hole binary64 (* x (+ (cos (+ eps (PI))) (* x (+ (* -1 (sin (+ eps (PI)))) (* x (+ (* -1/2 (cos (+ eps (PI)))) (* -1/6 (cos (+ eps (PI)))))))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) #s(hole binary64 (* x (+ (cos (+ eps (PI))) (* x (+ (* -1 (sin (+ eps (PI)))) (* x (+ (* -1/2 (cos (+ eps (PI)))) (+ (* -1/6 (cos (+ eps (PI)))) (* 1/3 (* x (sin (+ eps (PI)))))))))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (cos (+ eps (PI))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ eps (PI))) (* -1 (* x (sin (+ eps (PI)))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ eps (PI))) (* x (- (* -1/2 (* x (cos (+ eps (PI))))) (sin (+ eps (PI)))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ eps (PI))) (* x (- (* x (+ (* -1/2 (cos (+ eps (PI)))) (* 1/6 (* x (sin (+ eps (PI))))))) (sin (+ eps (PI)))))))) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (cos (+ eps (PI))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (cos (+ eps (PI))) (* -1 (* x (sin (+ eps (PI)))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (cos (+ eps (PI))) (* x (+ (* -1 (sin (+ eps (PI)))) (* -1 (* x (cos (+ eps (PI)))))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (cos (+ eps (PI))) (* x (+ (* -1 (sin (+ eps (PI)))) (* x (+ (* -1 (cos (+ eps (PI)))) (* x (+ (* 1/6 (sin (+ eps (PI)))) (* 1/2 (sin (+ eps (PI))))))))))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) #s(hole binary64 (* eps (- (+ (cos x) (+ (* 1/2 (/ 1 (cos x))) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))))) (* 1/2 (/ (cos (* 2 x)) (cos x))))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (- (+ (cos x) (+ (* 1/2 (/ 1 (cos x))) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))))) (* 1/2 (/ (cos (* 2 x)) (cos x)))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) #s(hole binary64 (- (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))))) |
#s(approx (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))) |
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (* (cos x) 1/3) #s(hole binary64 (* 1/3 (cos x)))) |
#s(approx (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x)) #s(hole binary64 (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))) |
#s(approx (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))))) |
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (- (* 1/2 (/ (cos (* 2 x)) (cos x))) (* 1/2 (/ 1 (cos x)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x)))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 4)))) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/3 (/ 1 (pow x 2)))))) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/3 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))))) |
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 2/3 (/ 1 (pow x 2)))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (sin (+ eps (+ x (PI))))) (* (cos (+ eps (+ x (PI)))) (sin x))) (* (cos x) (cos (+ eps (+ x (PI)))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (* (cos x) (sin (+ eps (+ x (PI))))) (* (cos (+ eps (+ x (PI)))) (sin x))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (sin (+ eps (+ x (PI))))))) |
#s(approx (sin (+ (PI) (+ eps x))) #s(hole binary64 (sin (+ eps (+ x (PI)))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 x)) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (* x (+ 1 (+ (/ eps x) (/ (PI) x)))))) |
#s(approx (+ eps x) #s(hole binary64 x)) |
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) #s(hole binary64 (* (cos (+ eps (+ x (PI)))) (sin x)))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (cos (+ eps (+ x (PI)))))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (cos (+ eps (+ x (PI))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (sin (- (+ eps (PI)) (* -1 x)))) (* (cos (- (+ eps (PI)) (* -1 x))) (sin x))) (* (cos x) (cos (- (+ eps (PI)) (* -1 x))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (* (cos x) (sin (- (+ eps (PI)) (* -1 x)))) (* (cos (- (+ eps (PI)) (* -1 x))) (sin x))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (sin (- (+ eps (PI)) (* -1 x)))))) |
#s(approx (sin (+ (PI) (+ eps x))) #s(hole binary64 (sin (- (+ eps (PI)) (* -1 x))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) #s(hole binary64 (* (cos (- (+ eps (PI)) (* -1 x))) (sin x)))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (cos (- (+ eps (PI)) (* -1 x))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (cos (- (+ eps (PI)) (* -1 x)))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x)))))) (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1/3 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2))))))) (+ (* -1 (/ (* (pow (sin x) 2) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 3))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (pow (cos x) 2)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x))))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (* 2/15 (cos x)) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x))))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (* eps (- (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (- (+ (* 2/15 (cos x)) (* (pow eps 2) (- (* 17/315 (cos x)) (* -17/315 (/ (pow (sin x) 2) (cos x)))))) (* -2/15 (/ (pow (sin x) 2) (cos x)))))) (* -1/3 (/ (pow (sin x) 2) (cos x)))))) (* -1 (/ (pow (sin x) 2) (cos x))))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) #s(hole binary64 (* eps (- (+ (cos x) (* 1/2 (/ 1 (cos x)))) (* 1/2 (/ (cos (* 2 x)) (cos x))))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) #s(hole binary64 (* eps (- (+ (cos x) (+ (* 1/2 (/ 1 (cos x))) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))))) (* 1/2 (/ (cos (* 2 x)) (cos x))))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (- (+ (cos x) (* 1/2 (/ 1 (cos x)))) (* 1/2 (/ (cos (* 2 x)) (cos x)))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (- (+ (cos x) (+ (* 1/2 (/ 1 (cos x))) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))))) (* 1/2 (/ (cos (* 2 x)) (cos x)))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (cos x))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ (cos x) (* (pow eps 2) (- (* 1/3 (cos x)) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) #s(hole binary64 (- (* 1/3 (cos x)) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (* 1/3 (cos x)))) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (cos x))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/3 (* (pow eps 2) (sin x)))))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/3 (sin x)) (* -2/15 (* (pow eps 2) (sin x)))))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* eps (sin x)) (cos x)))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* eps (- (* (pow eps 2) (- (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* eps (sin x)) (cos x)))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x)))))) |
#s(approx (tan eps) #s(hole binary64 eps)) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2)))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 eps)) |
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2)))))) |
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x))) (* (cos x) (cos (+ x (PI))))))) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
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Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1545 | 13149 |
| 0 | 1635 | 11309 |
| 0 | 8259 | 11077 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
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(*.f64 (cos.f64 x) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x)) |
(*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) |
#s(literal -1/3 binary64) |
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) |
#s(literal 1 binary64) |
(*.f64 (tan.f64 x) (tan.f64 eps)) |
(tan.f64 x) |
(tan.f64 eps) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps)) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))) |
#s(approx (tan eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)) |
(*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps) |
(fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)) |
(*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps) |
#s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 2/3 binary64) |
(*.f64 x x) |
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x))) |
(-.f64 (*.f64 (sin.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (sin.f64 x))) |
(*.f64 (sin.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x)) |
(sin.f64 (+.f64 (PI.f64) (+.f64 eps x))) |
(+.f64 (PI.f64) (+.f64 eps x)) |
(PI.f64) |
(+.f64 eps x) |
(*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (sin.f64 x)) |
(cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) |
(sin.f64 x) |
(*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x)) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (* -1/2 (/ (sin eps) (cos eps))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* 1/24 (/ (sin eps) (cos eps))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* -1/2 (/ (sin eps) (cos eps))) (* (pow x 2) (- (+ (* 1/24 (/ (sin eps) (cos eps))) (* (pow x 2) (- (* -1/720 (/ (sin eps) (cos eps))) (+ (* -2/15 (/ (sin eps) (cos eps))) (+ (* -1/120 (/ (sin eps) (cos eps))) (* 1/18 (/ (sin eps) (cos eps)))))))) (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/6 (/ (sin eps) (cos eps))))))) (* -1 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) #s(hole binary64 (+ (* eps (* (pow x 2) (+ 1/2 (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2))))))) (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 5/24 (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2))))))) (* eps (+ 1/2 (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2))))))))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) #s(hole binary64 (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (* (pow x 2) (+ (* eps (+ 1/2 (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))))) (* (pow x 2) (+ (* eps (* (pow x 2) (+ 61/720 (* (pow eps 2) (+ 61/2160 (* 61/5400 (pow eps 2))))))) (* eps (+ 5/24 (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2))))))))))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (+ 1/2 (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))))))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (+ 1/2 (+ (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) (* (pow x 2) (+ 5/24 (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2))))))))))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (+ 1/2 (+ (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) (* (pow x 2) (+ 5/24 (+ (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2)))) (* (pow x 2) (+ 61/720 (* (pow eps 2) (+ 61/2160 (* 61/5400 (pow eps 2)))))))))))))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (- (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) 1/2)))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) (* (pow x 2) (+ 1/24 (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2))))))) 1/2)))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ 1 (+ (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))) (* (pow x 2) (- (+ (* (pow eps 2) (+ 1/6 (* 1/15 (pow eps 2)))) (* (pow x 2) (+ 1/24 (+ (* (pow eps 2) (+ 5/72 (* 1/36 (pow eps 2)))) (* (pow x 2) (- (* (pow eps 2) (+ 61/2160 (* 61/5400 (pow eps 2)))) 1/720)))))) 1/2)))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (+ 1/6 (* 1/15 (pow eps 2)))))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (+ 1/6 (+ (* 1/15 (pow eps 2)) (* (pow x 2) (+ 5/72 (* 1/36 (pow eps 2))))))))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (+ 1/6 (+ (* 1/15 (pow eps 2)) (* (pow x 2) (+ 5/72 (+ (* 1/36 (pow eps 2)) (* (pow x 2) (+ 61/2160 (* 61/5400 (pow eps 2)))))))))))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (- (* 1/15 (pow eps 2)) 1/6)))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (- (+ (* 1/15 (pow eps 2)) (* (pow x 2) (+ 1/72 (* 1/36 (pow eps 2))))) 1/6)))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ 1/3 (+ (* 2/15 (pow eps 2)) (* (pow x 2) (- (+ (* 1/15 (pow eps 2)) (* (pow x 2) (+ 1/72 (+ (* 1/36 (pow eps 2)) (* (pow x 2) (- (* 61/5400 (pow eps 2)) 1/2160)))))) 1/6)))))) |
#s(approx (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 2/15)) |
#s(approx (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (+ 2/15 (* 1/15 (pow x 2))))) |
#s(approx (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (+ 2/15 (* (pow x 2) (+ 1/15 (* 1/36 (pow x 2))))))) |
#s(approx (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (+ 2/15 (* (pow x 2) (+ 1/15 (* (pow x 2) (+ 1/36 (* 61/5400 (pow x 2))))))))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* 2/15 (pow x 2)))) |
#s(approx (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* (pow x 2) (+ 2/15 (* 1/45 (pow x 2)))))) |
#s(approx (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 1/45 (* 31/2700 (pow x 2)))))))) |
#s(approx (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 31/2700 (* 173/37800 (pow x 2)))))))))) |
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (pow x 2))) |
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/6 (pow x 2)))))) |
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 31/360 (pow x 2)))))))) |
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 31/360 (* 173/5040 (pow x 2)))))))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (pow x 2))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 1/2)) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* -1 (pow x 2))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 1)) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* -2 (pow x 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2))))) |
#s(approx (* 2 x) #s(hole binary64 (* 2 x))) |
#s(approx (* (cos x) 1/3) #s(hole binary64 1/3)) |
#s(approx (* (cos x) 1/3) #s(hole binary64 (+ 1/3 (* -1/6 (pow x 2))))) |
#s(approx (* (cos x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (- (* 1/72 (pow x 2)) 1/6))))) |
#s(approx (* (cos x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/72 (* -1/2160 (pow x 2)))) 1/6))))) |
#s(approx (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x)) #s(hole binary64 (* -1/3 (pow x 2)))) |
#s(approx (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x)) #s(hole binary64 (* (pow x 2) (- (* -1/18 (pow x 2)) 1/3)))) |
#s(approx (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -31/1080 (pow x 2)) 1/18)) 1/3)))) |
#s(approx (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/15120 (pow x 2)) 31/1080)) 1/18)) 1/3)))) |
#s(approx (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* -1/3 (pow x 2)))) |
#s(approx (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3)))) |
#s(approx (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* -2/135 (pow x 2)))) 1/3)))) |
#s(approx (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/9 (* (pow x 2) (- (* 1/945 (pow x 2)) 2/135)))) 1/3)))) |
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* (pow x 2) (- (* -1/6 (pow x 2)) 1)))) |
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -31/360 (pow x 2)) 1/6)) 1)))) |
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -173/5040 (pow x 2)) 31/360)) 1/6)) 1)))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 1)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1/2 x)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (+ 1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* x (- (* x (+ (* -1/3 (/ (sin eps) (cos eps))) (* 1/2 (/ (sin eps) (cos eps))))) 1/2))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 1)) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* x (sin eps)) (cos eps)))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))))) |
#s(approx (tan x) #s(hole binary64 x)) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2)))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))))) |
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 eps)) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* eps (pow x 2))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps)))))))) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 1)) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (pow x 2)))) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))))) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (pow x 2)))) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2))))))) |
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (+ 1 (* 2/3 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (+ (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 3) (pow (cos (+ eps (PI))) 3)))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))) (+ (/ (* (sin (+ eps (PI))) (+ (* -1 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 3) (pow (cos (+ eps (PI))) 3))))) (cos (+ eps (PI)))) (/ (* (sin (+ eps (PI))) (+ (* 1/6 (sin (+ eps (PI)))) (* 1/2 (sin (+ eps (PI)))))) (pow (cos (+ eps (PI))) 2)))))) (+ (* -1 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 3) (pow (cos (+ eps (PI))) 3)))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (sin (+ eps (PI))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* (pow x 4) (- (+ (* 1/12 (sin (+ eps (PI)))) (* 1/4 (sin (+ eps (PI))))) (* 1/3 (sin (+ eps (PI))))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* (pow x 4) (- (+ (* 1/12 (sin (+ eps (PI)))) (+ (* 1/4 (sin (+ eps (PI)))) (* (pow x 2) (- (+ (* -1/24 (sin (+ eps (PI)))) (* -1/360 (sin (+ eps (PI))))) (+ (* -1/36 (sin (+ eps (PI)))) (* -1/60 (sin (+ eps (PI))))))))) (* 1/3 (sin (+ eps (PI))))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* (pow x 4) (- (+ (* 1/12 (sin (+ eps (PI)))) (+ (* 1/4 (sin (+ eps (PI)))) (* (pow x 2) (- (+ (* -1/24 (sin (+ eps (PI)))) (+ (* -1/360 (sin (+ eps (PI)))) (* (pow x 2) (- (+ (* 1/20160 (sin (+ eps (PI)))) (+ (* 1/720 (sin (+ eps (PI)))) (* 1/576 (sin (+ eps (PI)))))) (+ (* 1/2520 (sin (+ eps (PI)))) (* 1/360 (sin (+ eps (PI))))))))) (+ (* -1/36 (sin (+ eps (PI)))) (* -1/60 (sin (+ eps (PI))))))))) (* 1/3 (sin (+ eps (PI))))))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (sin (+ eps (PI))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (sin (+ eps (PI))) (* x (cos (+ eps (PI))))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (sin (+ eps (PI))) (* x (+ (cos (+ eps (PI))) (* -1 (* x (sin (+ eps (PI)))))))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (sin (+ eps (PI))) (* x (+ (cos (+ eps (PI))) (* x (+ (* -1 (sin (+ eps (PI)))) (* x (+ (* -1/2 (cos (+ eps (PI)))) (* -1/6 (cos (+ eps (PI))))))))))))) |
#s(approx (sin (+ (PI) (+ eps x))) #s(hole binary64 (sin (+ eps (PI))))) |
#s(approx (sin (+ (PI) (+ eps x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* x (cos (+ eps (PI))))))) |
#s(approx (sin (+ (PI) (+ eps x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* x (+ (cos (+ eps (PI))) (* -1/2 (* x (sin (+ eps (PI)))))))))) |
#s(approx (sin (+ (PI) (+ eps x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* x (+ (cos (+ eps (PI))) (* x (+ (* -1/2 (sin (+ eps (PI)))) (* -1/6 (* x (cos (+ eps (PI)))))))))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (+ eps (PI)))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (+ eps (+ x (PI))))) |
#s(approx (+ eps x) #s(hole binary64 eps)) |
#s(approx (+ eps x) #s(hole binary64 (+ eps x))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) #s(hole binary64 (* x (cos (+ eps (PI)))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) #s(hole binary64 (* x (+ (cos (+ eps (PI))) (* -1 (* x (sin (+ eps (PI))))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) #s(hole binary64 (* x (+ (cos (+ eps (PI))) (* x (+ (* -1 (sin (+ eps (PI)))) (* x (+ (* -1/2 (cos (+ eps (PI)))) (* -1/6 (cos (+ eps (PI)))))))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) #s(hole binary64 (* x (+ (cos (+ eps (PI))) (* x (+ (* -1 (sin (+ eps (PI)))) (* x (+ (* -1/2 (cos (+ eps (PI)))) (+ (* -1/6 (cos (+ eps (PI)))) (* 1/3 (* x (sin (+ eps (PI)))))))))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (cos (+ eps (PI))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ eps (PI))) (* -1 (* x (sin (+ eps (PI)))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ eps (PI))) (* x (- (* -1/2 (* x (cos (+ eps (PI))))) (sin (+ eps (PI)))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ eps (PI))) (* x (- (* x (+ (* -1/2 (cos (+ eps (PI)))) (* 1/6 (* x (sin (+ eps (PI))))))) (sin (+ eps (PI)))))))) |
#s(approx (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (cos (+ eps (PI))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (cos (+ eps (PI))) (* -1 (* x (sin (+ eps (PI)))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (cos (+ eps (PI))) (* x (+ (* -1 (sin (+ eps (PI)))) (* -1 (* x (cos (+ eps (PI)))))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (cos (+ eps (PI))) (* x (+ (* -1 (sin (+ eps (PI)))) (* x (+ (* -1 (cos (+ eps (PI)))) (* x (+ (* 1/6 (sin (+ eps (PI)))) (* 1/2 (sin (+ eps (PI))))))))))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) #s(hole binary64 (- (* (cos x) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (* (sin x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) #s(hole binary64 (* eps (- (+ (cos x) (+ (* 1/2 (/ 1 (cos x))) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))))) (* 1/2 (/ (cos (* 2 x)) (cos x))))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (- (+ (cos x) (+ (* 1/2 (/ 1 (cos x))) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))))) (* 1/2 (/ (cos (* 2 x)) (cos x)))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (+ (cos x) (* (pow eps 2) (- (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) #s(hole binary64 (- (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (+ (* 1/3 (cos x)) (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))))) |
#s(approx (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))) |
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 x)))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(hole binary64 (* 1/2 (cos (* 2 x))))) |
#s(approx (cos (* 2 x)) #s(hole binary64 (cos (* 2 x)))) |
#s(approx (* (cos x) 1/3) #s(hole binary64 (* 1/3 (cos x)))) |
#s(approx (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x)) #s(hole binary64 (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))) |
#s(approx (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) #s(hole binary64 (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))))) |
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) #s(hole binary64 (- (* 1/2 (/ (cos (* 2 x)) (cos x))) (* 1/2 (/ 1 (cos x)))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(hole binary64 (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(hole binary64 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) |
#s(approx (* (tan x) (tan eps)) #s(hole binary64 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x)))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(hole binary64 (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 4)))) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/3 (/ 1 (pow x 2)))))) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 2/3 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))))) |
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* 2/3 (pow x 2)))) |
#s(approx (+ (* 2/3 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 2/3 (/ 1 (pow x 2)))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (sin (+ eps (+ x (PI))))) (* (cos (+ eps (+ x (PI)))) (sin x))) (* (cos x) (cos (+ eps (+ x (PI)))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (* (cos x) (sin (+ eps (+ x (PI))))) (* (cos (+ eps (+ x (PI)))) (sin x))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (sin (+ eps (+ x (PI))))))) |
#s(approx (sin (+ (PI) (+ eps x))) #s(hole binary64 (sin (+ eps (+ x (PI)))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 x)) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (* x (+ 1 (+ (/ eps x) (/ (PI) x)))))) |
#s(approx (+ eps x) #s(hole binary64 x)) |
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) #s(hole binary64 (* (cos (+ eps (+ x (PI)))) (sin x)))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (cos (+ eps (+ x (PI)))))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (cos (+ eps (+ x (PI))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (sin (- (+ eps (PI)) (* -1 x)))) (* (cos (- (+ eps (PI)) (* -1 x))) (sin x))) (* (cos x) (cos (- (+ eps (PI)) (* -1 x))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (* (cos x) (sin (- (+ eps (PI)) (* -1 x)))) (* (cos (- (+ eps (PI)) (* -1 x))) (sin x))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (sin (- (+ eps (PI)) (* -1 x)))))) |
#s(approx (sin (+ (PI) (+ eps x))) #s(hole binary64 (sin (- (+ eps (PI)) (* -1 x))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) #s(hole binary64 (* (cos (- (+ eps (PI)) (* -1 x))) (sin x)))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (cos (- (+ eps (PI)) (* -1 x))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (cos (- (+ eps (PI)) (* -1 x)))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) #s(hole binary64 (/ (* eps (- (cos x) (* -1 (/ (pow (sin x) 2) (cos x))))) (cos x)))) |
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#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
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#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) #s(hole binary64 (* (pow eps 5) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (* 1/3 (/ (cos x) (pow eps 2))))) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow eps 2) (cos x)))))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) #s(hole binary64 (* (pow eps 5) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (+ (* 1/3 (/ (cos x) (pow eps 2))) (+ (* 1/2 (/ 1 (* (pow eps 4) (cos x)))) (/ (cos x) (pow eps 4)))))) (+ (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow eps 2) (cos x)))) (* 1/2 (/ (cos (* 2 x)) (* (pow eps 4) (cos x))))))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (* (pow eps 4) (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (* (pow eps 4) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (* 1/3 (/ (cos x) (pow eps 2))))) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow eps 2) (cos x)))))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(hole binary64 (* (pow eps 4) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (+ (* 1/3 (/ (cos x) (pow eps 2))) (+ (* 1/2 (/ 1 (* (pow eps 4) (cos x)))) (/ (cos x) (pow eps 4)))))) (+ (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow eps 2) (cos x)))) (* 1/2 (/ (cos (* 2 x)) (* (pow eps 4) (cos x))))))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (* (pow eps 4) (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (* (pow eps 4) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (* 1/3 (/ (cos x) (pow eps 2))))) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow eps 2) (cos x)))))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) #s(hole binary64 (* (pow eps 4) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (+ (* 1/3 (/ (cos x) (pow eps 2))) (/ (cos x) (pow eps 4))))) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow eps 2) (cos x)))))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) #s(hole binary64 (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) #s(hole binary64 (* (pow eps 2) (- (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (* 1/3 (/ (cos x) (pow eps 2))))) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (* (pow eps 2) (cos x)))))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (* (pow eps 2) (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) #s(hole binary64 (* (pow eps 2) (+ (* 2/15 (cos x)) (+ (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (* 1/3 (/ (cos x) (pow eps 2)))))))) |
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 (* 1/3 (pow eps 3)))) |
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) #s(hole binary64 (* (pow eps 3) (+ 1/3 (/ 1 (pow eps 2)))))) |
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 (* 1/3 (pow eps 2)))) |
#s(approx (+ (* (* eps eps) 1/3) 1) #s(hole binary64 (* (pow eps 2) (+ 1/3 (/ 1 (pow eps 2)))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 eps)) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) eps)))))) |
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) #s(hole binary64 (* -1 (* (pow eps 5) (+ (* -1 (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))) (* -1 (/ (- (* 1/3 (cos x)) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (pow eps 2)))))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) #s(hole binary64 (* -1 (* (pow eps 5) (+ (* -1 (+ (* 2/15 (cos x)) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))))) (+ (* -1 (/ (- (* 1/3 (cos x)) (* -1/3 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (pow eps 2))) (* -1 (/ (- (+ (cos x) (* 1/2 (/ 1 (cos x)))) (* 1/2 (/ (cos (* 2 x)) (cos x)))) (pow eps 4))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (sin (- (+ x (PI)) (* -1 eps)))) (* (cos (- (+ x (PI)) (* -1 eps))) (sin x))) (* (cos x) (cos (- (+ x (PI)) (* -1 eps))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (* (cos x) (sin (- (+ x (PI)) (* -1 eps)))) (* (cos (- (+ x (PI)) (* -1 eps))) (sin x))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (sin (- (+ x (PI)) (* -1 eps)))))) |
#s(approx (sin (+ (PI) (+ eps x))) #s(hole binary64 (sin (- (+ x (PI)) (* -1 eps))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) #s(hole binary64 (* (cos (- (+ x (PI)) (* -1 eps))) (sin x)))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (cos (- (+ x (PI)) (* -1 eps))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (cos (- (+ x (PI)) (* -1 eps)))))) |
| Outputs |
|---|
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(/.f64 #s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (*.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (*.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) eps)) |
(*.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) eps) |
(/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x))) (*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) (fma.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))) (*.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))))) |
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x |
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#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/15 binary64) (*.f64 eps eps))) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 5/72 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 eps eps)))))))))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/15 binary64) (*.f64 eps eps))) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/24 binary64) (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 5/72 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 eps eps))) (*.f64 (*.f64 x x) (+.f64 #s(literal 61/720 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 61/2160 binary64) (*.f64 #s(literal -61/5400 binary64) (*.f64 eps eps))))))))))))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps)))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/15 binary64) (*.f64 eps eps)))) #s(literal 1/2 binary64)))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/15 binary64) (*.f64 eps eps))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 5/72 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 eps eps))))))) #s(literal 1/2 binary64)))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))) (*.f64 (*.f64 x x) (-.f64 (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/15 binary64) (*.f64 eps eps))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (fma.f64 (*.f64 eps eps) (-.f64 #s(literal 5/72 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 eps eps))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 eps eps) (-.f64 #s(literal 61/2160 binary64) (*.f64 #s(literal -61/5400 binary64) (*.f64 eps eps)))) #s(literal 1/720 binary64))))))) #s(literal 1/2 binary64)))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps)))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (+.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/15 binary64) (*.f64 eps eps))))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (+.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/15 binary64) (*.f64 eps eps) (*.f64 (*.f64 x x) (-.f64 #s(literal 5/72 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 eps eps)))))))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (+.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/15 binary64) (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 5/72 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 eps eps) (*.f64 (*.f64 x x) (-.f64 #s(literal 61/2160 binary64) (*.f64 #s(literal -61/5400 binary64) (*.f64 eps eps))))))))))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps)))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (+.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/15 binary64) (*.f64 eps eps)) #s(literal 1/6 binary64)))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (+.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 1/15 binary64) (*.f64 eps eps) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/72 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 eps eps))))) #s(literal 1/6 binary64)))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (+.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 1/15 binary64) (*.f64 eps eps) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/72 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 eps eps) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 61/5400 binary64) (*.f64 eps eps)) #s(literal 1/2160 binary64))))))) #s(literal 1/6 binary64)))))) |
#s(approx (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) #s(literal 2/15 binary64)) |
#s(approx (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -1/15 binary64) (*.f64 x x)))) |
#s(approx (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/15 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 x x)))))) |
#s(approx (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/15 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -61/5400 binary64) (*.f64 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) (*.f64 x x)))) |
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))) |
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))))) |
#s(approx x x) |
#s(approx (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) |
#s(approx (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (*.f64 (*.f64 x x) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -1/45 binary64) (*.f64 x x))))) |
#s(approx (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/45 binary64) (*.f64 #s(literal -31/2700 binary64) (*.f64 x x))))))) |
#s(approx (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/45 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 31/2700 binary64) (*.f64 #s(literal -173/37800 binary64) (*.f64 x x))))))))) |
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (*.f64 x x)) |
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -31/360 binary64) (*.f64 x x))))))) |
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 31/360 binary64) (*.f64 #s(literal -173/5040 binary64) (*.f64 x x))))))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 x x)) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal 1/315 binary64) (*.f64 x x)))) #s(literal 1/3 binary64)))))) |
#s(approx (* 1/2 (cos (* 2 x))) #s(literal 1/2 binary64)) |
#s(approx (* 1/2 (cos (* 2 x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(approx (* 1/2 (cos (* 2 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))))) |
#s(approx (* 1/2 (cos (* 2 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 x x)))) #s(literal 1 binary64))))) |
#s(approx (cos (* 2 x)) #s(literal 1 binary64)) |
#s(approx (cos (* 2 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) |
#s(approx (cos (* 2 x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 2 binary64))))) |
#s(approx (cos (* 2 x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 4/45 binary64) (*.f64 x x)))) #s(literal 2 binary64))))) |
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (* (cos x) 1/3) #s(literal 1/3 binary64)) |
#s(approx (* (cos x) 1/3) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
#s(approx (* (cos x) 1/3) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/72 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) |
#s(approx (* (cos x) 1/3) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/72 binary64) (*.f64 #s(literal 1/2160 binary64) (*.f64 x x)))) #s(literal 1/6 binary64))))) |
#s(approx (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x)) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
#s(approx (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
#s(approx (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -31/1080 binary64) (*.f64 x x)) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -173/15120 binary64) (*.f64 x x)) #s(literal 31/1080 binary64))) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) |
#s(approx (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))) |
#s(approx (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 2/135 binary64) (*.f64 x x)))) #s(literal 1/3 binary64)))) |
#s(approx (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/945 binary64) (*.f64 x x)) #s(literal 2/135 binary64))))) #s(literal 1/3 binary64)))) |
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (*.f64 #s(literal -1 binary64) (*.f64 x x))) |
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))) |
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -31/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -173/5040 binary64) (*.f64 x x)) #s(literal 31/360 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) #s(literal 1 binary64)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (tan.f64 eps) (*.f64 #s(literal -1/2 binary64) x))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (tan.f64 eps) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/3 binary64) (tan.f64 eps) (*.f64 #s(literal 1/2 binary64) (tan.f64 eps)))) #s(literal 1/2 binary64))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) #s(literal 1 binary64)) |
#s(approx (- 1 (* (tan x) (tan eps))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))))) |
#s(approx (- 1 (* (tan x) (tan eps))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps))) (tan.f64 eps))))) |
#s(approx (- 1 (* (tan x) (tan eps))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -2/15 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps)) (*.f64 #s(literal -1/3 binary64) (tan.f64 eps)))) (tan.f64 eps))))) |
#s(approx (* (tan x) (tan eps)) (/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))) |
#s(approx (* (tan x) (tan eps)) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps)) (tan.f64 eps)))) |
#s(approx (* (tan x) (tan eps)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 2/15 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps)) (*.f64 #s(literal 1/3 binary64) (tan.f64 eps))) (tan.f64 eps)))) |
#s(approx (* (tan x) (tan eps)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (tan.f64 eps) (*.f64 (*.f64 x x) (fma.f64 #s(literal 17/315 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 eps)) (cos.f64 eps)) (*.f64 #s(literal 2/15 binary64) (tan.f64 eps))))) (tan.f64 eps)))) |
#s(approx (tan x) x) |
#s(approx (tan x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) |
#s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 x x))))))) |
#s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 x x))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (tan.f64 eps) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (tan.f64 eps))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 eps (*.f64 x x)))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 (*.f64 x x) (-.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 x x))))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (+.f64 eps (*.f64 (*.f64 x x) (+.f64 eps (*.f64 (*.f64 x x) (fma.f64 #s(literal 17/45 binary64) (*.f64 eps (*.f64 x x)) (*.f64 #s(literal 2/3 binary64) eps))))))) |
#s(approx (- 1 (neg (pow (tan x) 2))) #s(literal 1 binary64)) |
#s(approx (- 1 (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
#s(approx (- 1 (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 x x)))))) |
#s(approx (- 1 (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -17/45 binary64) (*.f64 x x)))))))) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 x x)))))) |
#s(approx (+ (* 2/3 (* x x)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* 2/3 (* x x)) 1) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 x x)))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (tan.f64 eps)) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (+.f64 (tan.f64 eps) (/.f64 (*.f64 x (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (tan.f64 eps) (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))) (tan.f64 eps))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (fma.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (fma.f64 #s(literal -1 binary64) (tan.f64 eps) (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (cos.f64 eps))) (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (fma.f64 #s(literal 1/6 binary64) (neg.f64 (sin.f64 eps)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sin.f64 eps))))) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))))) (fma.f64 #s(literal -1 binary64) (tan.f64 eps) (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))) (tan.f64 eps))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (neg.f64 (sin.f64 eps))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (+.f64 (neg.f64 (sin.f64 eps)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (fma.f64 #s(literal 1/12 binary64) (neg.f64 (sin.f64 eps)) (*.f64 #s(literal 1/4 binary64) (neg.f64 (sin.f64 eps)))) (*.f64 #s(literal 1/3 binary64) (neg.f64 (sin.f64 eps))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (+.f64 (neg.f64 (sin.f64 eps)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (fma.f64 #s(literal 1/12 binary64) (neg.f64 (sin.f64 eps)) (fma.f64 #s(literal 1/4 binary64) (neg.f64 (sin.f64 eps)) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal -1/24 binary64) (neg.f64 (sin.f64 eps)) (*.f64 #s(literal -1/360 binary64) (neg.f64 (sin.f64 eps)))) (fma.f64 #s(literal -1/36 binary64) (neg.f64 (sin.f64 eps)) (*.f64 #s(literal -1/60 binary64) (neg.f64 (sin.f64 eps)))))))) (*.f64 #s(literal 1/3 binary64) (neg.f64 (sin.f64 eps))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (+.f64 (neg.f64 (sin.f64 eps)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (fma.f64 #s(literal 1/12 binary64) (neg.f64 (sin.f64 eps)) (fma.f64 #s(literal 1/4 binary64) (neg.f64 (sin.f64 eps)) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal -1/24 binary64) (neg.f64 (sin.f64 eps)) (fma.f64 #s(literal -1/360 binary64) (neg.f64 (sin.f64 eps)) (*.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal 1/20160 binary64) (neg.f64 (sin.f64 eps)) (fma.f64 #s(literal 1/720 binary64) (neg.f64 (sin.f64 eps)) (*.f64 #s(literal 1/576 binary64) (neg.f64 (sin.f64 eps))))) (fma.f64 #s(literal 1/2520 binary64) (neg.f64 (sin.f64 eps)) (*.f64 #s(literal 1/360 binary64) (neg.f64 (sin.f64 eps)))))))) (fma.f64 #s(literal -1/36 binary64) (neg.f64 (sin.f64 eps)) (*.f64 #s(literal -1/60 binary64) (neg.f64 (sin.f64 eps)))))))) (*.f64 #s(literal 1/3 binary64) (neg.f64 (sin.f64 eps))))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) (neg.f64 (sin.f64 eps))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) (+.f64 (neg.f64 (sin.f64 eps)) (*.f64 x (neg.f64 (cos.f64 eps))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) (+.f64 (neg.f64 (sin.f64 eps)) (*.f64 x (-.f64 (neg.f64 (cos.f64 eps)) (*.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (sin.f64 eps)))))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) (+.f64 (neg.f64 (sin.f64 eps)) (*.f64 x (+.f64 (neg.f64 (cos.f64 eps)) (*.f64 x (fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 eps)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (neg.f64 (cos.f64 eps)) (*.f64 #s(literal -1/6 binary64) (neg.f64 (cos.f64 eps))))))))))) |
#s(approx (sin (+ (PI) (+ eps x))) (neg.f64 (sin.f64 eps))) |
#s(approx (sin (+ (PI) (+ eps x))) (+.f64 (neg.f64 (sin.f64 eps)) (*.f64 x (neg.f64 (cos.f64 eps))))) |
#s(approx (sin (+ (PI) (+ eps x))) (+.f64 (neg.f64 (sin.f64 eps)) (*.f64 x (-.f64 (neg.f64 (cos.f64 eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 (sin.f64 eps)))))))) |
#s(approx (sin (+ (PI) (+ eps x))) (+.f64 (neg.f64 (sin.f64 eps)) (*.f64 x (+.f64 (neg.f64 (cos.f64 eps)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (neg.f64 (sin.f64 eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (neg.f64 (cos.f64 eps)))))))))) |
#s(approx (+ (PI) (+ eps x)) (+.f64 eps (PI.f64))) |
#s(approx (+ (PI) (+ eps x)) (+.f64 eps (+.f64 x (PI.f64)))) |
#s(approx (+ eps x) eps) |
#s(approx (+ eps x) (+.f64 eps x)) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) (*.f64 x (neg.f64 (cos.f64 eps)))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) (*.f64 x (-.f64 (neg.f64 (cos.f64 eps)) (*.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (sin.f64 eps))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) (*.f64 x (+.f64 (neg.f64 (cos.f64 eps)) (*.f64 x (fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 eps)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (neg.f64 (cos.f64 eps)) (*.f64 #s(literal -1/6 binary64) (neg.f64 (cos.f64 eps)))))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) (*.f64 x (+.f64 (neg.f64 (cos.f64 eps)) (*.f64 x (fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 eps)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (neg.f64 (cos.f64 eps)) (fma.f64 #s(literal -1/6 binary64) (neg.f64 (cos.f64 eps)) (*.f64 #s(literal 1/3 binary64) (*.f64 x (neg.f64 (sin.f64 eps)))))))))))) |
#s(approx (cos (+ (PI) (+ eps x))) (neg.f64 (cos.f64 eps))) |
#s(approx (cos (+ (PI) (+ eps x))) (-.f64 (neg.f64 (cos.f64 eps)) (*.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (sin.f64 eps)))))) |
#s(approx (cos (+ (PI) (+ eps x))) (+.f64 (neg.f64 (cos.f64 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (neg.f64 (cos.f64 eps)))) (neg.f64 (sin.f64 eps)))))) |
#s(approx (cos (+ (PI) (+ eps x))) (+.f64 (neg.f64 (cos.f64 eps)) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (neg.f64 (cos.f64 eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (neg.f64 (sin.f64 eps)))))) (neg.f64 (sin.f64 eps)))))) |
#s(approx (sin x) x) |
#s(approx (sin x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))) |
#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)))) #s(literal 1/6 binary64)))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (neg.f64 (cos.f64 eps))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (-.f64 (neg.f64 (cos.f64 eps)) (*.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (sin.f64 eps)))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (+.f64 (neg.f64 (cos.f64 eps)) (*.f64 x (fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 (cos.f64 eps)))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (+.f64 (neg.f64 (cos.f64 eps)) (*.f64 x (fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 eps)) (*.f64 x (fma.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 eps)) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (neg.f64 (sin.f64 eps)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sin.f64 eps))))))))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (/.f64 (-.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (-.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 eps) (tan.f64 x))) (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) (*.f64 eps (-.f64 (+.f64 (cos.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (cos.f64 x)))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (-.f64 (+.f64 (cos.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (cos.f64 x))))) |
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#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (-.f64 (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))))) |
#s(approx (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) |
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))) |
#s(approx (- 1/2 (* 1/2 (cos (* 2 x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) |
#s(approx (* 1/2 (cos (* 2 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* (cos x) 1/3) (*.f64 #s(literal 1/3 binary64) (cos.f64 x))) |
#s(approx (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x)) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) |
#s(approx (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) |
#s(approx (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x))))) |
#s(approx (- 1 (* (tan x) (tan eps))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) (tan.f64 x)))) |
#s(approx (* (tan x) (tan eps)) (*.f64 (tan.f64 eps) (tan.f64 x))) |
#s(approx (tan x) (tan.f64 x)) |
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
#s(approx (- 1 (neg (pow (tan x) 2))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (+ (* (+ (* 2/3 (* x x)) 1) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 2/3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
#s(approx (+ (* 2/3 (* x x)) 1) (*.f64 #s(literal 2/3 binary64) (*.f64 x x))) |
#s(approx (+ (* 2/3 (* x x)) 1) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (/.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 (+.f64 eps (+.f64 x (PI.f64))))) (*.f64 (cos.f64 (+.f64 eps (+.f64 x (PI.f64)))) (sin.f64 x))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps (+.f64 x (PI.f64))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 (+.f64 eps (+.f64 x (PI.f64))))) (*.f64 (cos.f64 (+.f64 eps (+.f64 x (PI.f64)))) (sin.f64 x)))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) (*.f64 (cos.f64 x) (sin.f64 (+.f64 eps (+.f64 x (PI.f64)))))) |
#s(approx (sin (+ (PI) (+ eps x))) (sin.f64 (+.f64 eps (+.f64 x (PI.f64))))) |
#s(approx (+ (PI) (+ eps x)) x) |
#s(approx (+ (PI) (+ eps x)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (PI.f64)) x)))) |
#s(approx (+ eps x) x) |
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#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) (*.f64 (cos.f64 (+.f64 eps (+.f64 x (PI.f64)))) (sin.f64 x))) |
#s(approx (cos (+ (PI) (+ eps x))) (cos.f64 (+.f64 eps (+.f64 x (PI.f64))))) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps (+.f64 x (PI.f64)))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (tan.f64 x))) |
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#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 (-.f64 (+.f64 eps (PI.f64)) (*.f64 #s(literal -1 binary64) x)))) (*.f64 (cos.f64 (-.f64 (+.f64 eps (PI.f64)) (*.f64 #s(literal -1 binary64) x))) (sin.f64 x)))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) (*.f64 (cos.f64 x) (sin.f64 (-.f64 (+.f64 eps (PI.f64)) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (sin (+ (PI) (+ eps x))) (sin.f64 (-.f64 (+.f64 eps (PI.f64)) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (+ (PI) (+ eps x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (PI.f64)) x)) #s(literal 1 binary64))))) |
#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 (* (cos (+ (PI) (+ eps x))) (sin x)) (*.f64 (cos.f64 (-.f64 (+.f64 eps (PI.f64)) (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))) |
#s(approx (cos (+ (PI) (+ eps x))) (cos.f64 (-.f64 (+.f64 eps (PI.f64)) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (*.f64 (cos.f64 x) (cos.f64 (-.f64 (+.f64 eps (PI.f64)) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) (cos.f64 x))) |
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#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
#s(approx (/ (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (* (- 1 (* (tan x) (tan eps))) (cos x))) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps (-.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x)) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (*.f64 eps (-.f64 (+.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (*.f64 eps (-.f64 (+.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) |
#s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (*.f64 eps (-.f64 (+.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 17/315 binary64) (cos.f64 x) (*.f64 #s(literal 17/315 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) (*.f64 #s(literal -2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) (*.f64 eps (-.f64 (-.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (cos.f64 x)))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) (*.f64 eps (-.f64 (+.f64 (cos.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (cos.f64 x)))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (-.f64 (-.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (cos.f64 x))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (-.f64 (+.f64 (cos.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (cos.f64 x))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (cos.f64 x)) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (+.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (*.f64 #s(literal 1/3 binary64) (cos.f64 x))) |
#s(approx (* eps eps) (*.f64 eps eps)) |
#s(approx eps eps) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) (cos.f64 x)) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) (-.f64 (cos.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 eps (sin.f64 x))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 eps eps) (sin.f64 x))))))) |
#s(approx (* (- 1 (* (tan x) (tan eps))) (cos x)) (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 x) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -1/3 binary64) (sin.f64 x) (*.f64 #s(literal -2/15 binary64) (*.f64 (*.f64 eps eps) (sin.f64 x))))))))) |
#s(approx (- 1 (* (tan x) (tan eps))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))))) |
#s(approx (- 1 (* (tan x) (tan eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (cos.f64 x))) (tan.f64 x))))) |
#s(approx (- 1 (* (tan x) (tan eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 (*.f64 eps eps) (fma.f64 #s(literal -2/15 binary64) (/.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (cos.f64 x)) (*.f64 #s(literal -1/3 binary64) (tan.f64 x)))) (tan.f64 x))))) |
#s(approx (* (tan x) (tan eps)) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) |
#s(approx (* (tan x) (tan eps)) (*.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (cos.f64 x)) (tan.f64 x)))) |
#s(approx (* (tan x) (tan eps)) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (/.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (cos.f64 x)) (*.f64 #s(literal 1/3 binary64) (tan.f64 x))) (tan.f64 x)))) |
#s(approx (* (tan x) (tan eps)) (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (tan.f64 x) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 17/315 binary64) (/.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)) (cos.f64 x)) (*.f64 #s(literal 2/15 binary64) (tan.f64 x))))) (tan.f64 x)))) |
#s(approx (tan eps) eps) |
#s(approx (tan eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))))) |
#s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))))))) |
#s(approx (tan eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) (-.f64 #s(literal 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 eps eps))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) eps) |
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps))))) |
#s(approx (+ (* (* eps eps) 1/3) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* eps eps) 1/3) 1) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 eps eps)))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (/.f64 (-.f64 (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (-.f64 (fma.f64 eps (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))))) (tan.f64 x)) (tan.f64 x))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (-.f64 (fma.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (tan.f64 x)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)))))))) (neg.f64 (cos.f64 x))) (fma.f64 #s(literal -1/2 binary64) (tan.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))))))))) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))))) (tan.f64 x)) (tan.f64 x))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (-.f64 (fma.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (tan.f64 x)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)))))))) (neg.f64 (cos.f64 x))) (fma.f64 #s(literal -1/2 binary64) (tan.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))))))) (neg.f64 (cos.f64 x))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)))))))))) (*.f64 #s(literal -1/2 binary64) (tan.f64 x))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)))))))) (neg.f64 (cos.f64 x))) (fma.f64 #s(literal -1/2 binary64) (tan.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))))))))) (fma.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))))) (tan.f64 x)) (tan.f64 x))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (-.f64 (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (-.f64 (fma.f64 eps (fma.f64 (cos.f64 x) (neg.f64 (cos.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (-.f64 (fma.f64 eps (-.f64 (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))))) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (-.f64 (fma.f64 eps (-.f64 (-.f64 (*.f64 eps (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))))) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) (fma.f64 eps (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) (fma.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) (fma.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))))) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))) |
#s(approx (sin (+ (PI) (+ eps x))) (neg.f64 (sin.f64 x))) |
#s(approx (sin (+ (PI) (+ eps x))) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 eps (neg.f64 (cos.f64 x))))) |
#s(approx (sin (+ (PI) (+ eps x))) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 eps (-.f64 (neg.f64 (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (neg.f64 (sin.f64 x)))))))) |
#s(approx (sin (+ (PI) (+ eps x))) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 eps (+.f64 (neg.f64 (cos.f64 x)) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (neg.f64 (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (neg.f64 (cos.f64 x)))))))))) |
#s(approx (+ (PI) (+ eps x)) (+.f64 x (PI.f64))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) (fma.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) (fma.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (sin x)) (fma.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))))))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))) |
#s(approx (cos (+ (PI) (+ eps x))) (neg.f64 (cos.f64 x))) |
#s(approx (cos (+ (PI) (+ eps x))) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 eps (neg.f64 (sin.f64 x)))))) |
#s(approx (cos (+ (PI) (+ eps x))) (+.f64 (neg.f64 (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (neg.f64 (cos.f64 x)))) (neg.f64 (sin.f64 x)))))) |
#s(approx (cos (+ (PI) (+ eps x))) (+.f64 (neg.f64 (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (neg.f64 (cos.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (neg.f64 (sin.f64 x)))))) (neg.f64 (sin.f64 x)))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x)))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (-.f64 (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))))))) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (-.f64 (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x))))))))) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (fma.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 x) (*.f64 eps eps))))) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps eps) (cos.f64 x))))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (fma.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (cos.f64 x))) (/.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (cos.f64 x)))))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (fma.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 x) (*.f64 eps eps))))) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps eps) (cos.f64 x))))))) |
#s(approx (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (fma.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (cos.f64 x))) (/.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps eps) (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (cos.f64 x)))))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (fma.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 x) (*.f64 eps eps))))) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps eps) (cos.f64 x))))))) |
#s(approx (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (-.f64 (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (fma.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 x) (*.f64 eps eps)) (/.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps eps) (cos.f64 x))))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) |
#s(approx (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (*.f64 (*.f64 eps eps) (-.f64 (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (fma.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 x) (*.f64 eps eps))))) (*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 eps eps) (cos.f64 x))))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) |
#s(approx (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (fma.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)) (*.f64 #s(literal 1/3 binary64) (/.f64 (cos.f64 x) (*.f64 eps eps))))))) |
#s(approx (tan eps) (tan.f64 eps)) |
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (* (+ (* (* eps eps) 1/3) 1) eps) (*.f64 (*.f64 (*.f64 eps eps) eps) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))) |
#s(approx (+ (* (* eps eps) 1/3) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) |
#s(approx (+ (* (* eps eps) 1/3) 1) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))) |
#s(approx (+ (PI) (+ eps x)) eps) |
#s(approx (+ (PI) (+ eps x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (PI.f64)) eps)))) |
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps))))))) |
#s(approx (* (- (+ (* (- (+ (* (+ (* (cos x) 2/15) (* 2/15 (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) (* eps eps)) (* (cos x) 1/3)) (/ (* -1/3 (- 1/2 (* 1/2 (cos (* 2 x))))) (cos x))) (* eps eps)) (cos x)) (neg (/ (- 1/2 (* 1/2 (cos (* 2 x)))) (cos x)))) eps) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2/15 binary64) (cos.f64 x) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (cos.f64 x)))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (tan.f64 x))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (/.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 (-.f64 (+.f64 x (PI.f64)) (*.f64 #s(literal -1 binary64) eps)))) (*.f64 (cos.f64 (-.f64 (+.f64 x (PI.f64)) (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))) (*.f64 (cos.f64 x) (cos.f64 (-.f64 (+.f64 x (PI.f64)) (*.f64 #s(literal -1 binary64) eps)))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 (-.f64 (+.f64 x (PI.f64)) (*.f64 #s(literal -1 binary64) eps)))) (*.f64 (cos.f64 (-.f64 (+.f64 x (PI.f64)) (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x)))) |
#s(approx (* (sin (+ (PI) (+ eps x))) (cos x)) (*.f64 (cos.f64 x) (sin.f64 (-.f64 (+.f64 x (PI.f64)) (*.f64 #s(literal -1 binary64) eps))))) |
#s(approx (sin (+ (PI) (+ eps x))) (sin.f64 (-.f64 (+.f64 x (PI.f64)) (*.f64 #s(literal -1 binary64) eps)))) |
#s(approx (+ (PI) (+ eps x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (PI.f64)) eps)) #s(literal 1 binary64))))) |
#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 (* (cos (+ (PI) (+ eps x))) (sin x)) (*.f64 (cos.f64 (-.f64 (+.f64 x (PI.f64)) (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))) |
#s(approx (cos (+ (PI) (+ eps x))) (cos.f64 (-.f64 (+.f64 x (PI.f64)) (*.f64 #s(literal -1 binary64) eps)))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (*.f64 (cos.f64 x) (cos.f64 (-.f64 (+.f64 x (PI.f64)) (*.f64 #s(literal -1 binary64) eps))))) |
Compiled 54 459 to 4 203 computations (92.3% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 727 | 1 | 728 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 731 | 10 | 741 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 #s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x))) |
| ✓ | 3.3% | (-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x)) |
| ✓ | 61.7% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| ✓ | 99.7% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)) |
| ✓ | 99.7% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)) |
| ▶ | 3.0% | #s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (PI.f64) eps))) |
| ▶ | 99.6% | #s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps))) |
| ✓ | 99.3% | #s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps)) |
| ▶ | 99.3% | #s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))) |
| ✓ | 99.3% | #s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))) |
Compiled 193 to 139 computations (28% saved)
| Inputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))) |
#s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 2/15 binary64) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)) |
(fma.f64 (*.f64 x x) eps eps) |
(*.f64 x x) |
x |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (PI.f64) eps))) |
(tan.f64 (+.f64 (PI.f64) eps)) |
(+.f64 (PI.f64) eps) |
(PI.f64) |
(/.f64 #s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (neg.f64 (sin.f64 eps))) |
(neg.f64 (sin.f64 eps)) |
(sin.f64 eps) |
(*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x)) |
(cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) |
(+.f64 (PI.f64) (+.f64 eps x)) |
(+.f64 eps x) |
(cos.f64 x) |
| Outputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 eps)) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* eps (pow x 2))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps)))))))) |
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 eps)) |
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (+ (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 3) (pow (cos (+ eps (PI))) 3)))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))) (+ (/ (* (sin (+ eps (PI))) (+ (* -1 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 3) (pow (cos (+ eps (PI))) 3))))) (cos (+ eps (PI)))) (/ (* (sin (+ eps (PI))) (+ (* 1/6 (sin (+ eps (PI)))) (* 1/2 (sin (+ eps (PI)))))) (pow (cos (+ eps (PI))) 2)))))) (+ (* -1 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 3) (pow (cos (+ eps (PI))) 3)))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (sin (+ eps (PI))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* (pow x 4) (- (+ (* 1/12 (sin (+ eps (PI)))) (* 1/4 (sin (+ eps (PI))))) (* 1/3 (sin (+ eps (PI))))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* (pow x 4) (- (+ (* 1/12 (sin (+ eps (PI)))) (+ (* 1/4 (sin (+ eps (PI)))) (* (pow x 2) (- (+ (* -1/24 (sin (+ eps (PI)))) (* -1/360 (sin (+ eps (PI))))) (+ (* -1/36 (sin (+ eps (PI)))) (* -1/60 (sin (+ eps (PI))))))))) (* 1/3 (sin (+ eps (PI))))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* (pow x 4) (- (+ (* 1/12 (sin (+ eps (PI)))) (+ (* 1/4 (sin (+ eps (PI)))) (* (pow x 2) (- (+ (* -1/24 (sin (+ eps (PI)))) (+ (* -1/360 (sin (+ eps (PI)))) (* (pow x 2) (- (+ (* 1/20160 (sin (+ eps (PI)))) (+ (* 1/720 (sin (+ eps (PI)))) (* 1/576 (sin (+ eps (PI)))))) (+ (* 1/2520 (sin (+ eps (PI)))) (* 1/360 (sin (+ eps (PI))))))))) (+ (* -1/36 (sin (+ eps (PI)))) (* -1/60 (sin (+ eps (PI))))))))) (* 1/3 (sin (+ eps (PI))))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (cos (+ eps (PI))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (cos (+ eps (PI))) (* -1 (* x (sin (+ eps (PI)))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (cos (+ eps (PI))) (* x (+ (* -1 (sin (+ eps (PI)))) (* -1 (* x (cos (+ eps (PI)))))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (cos (+ eps (PI))) (* x (+ (* -1 (sin (+ eps (PI)))) (* x (+ (* -1 (cos (+ eps (PI)))) (* x (+ (* 1/6 (sin (+ eps (PI)))) (* 1/2 (sin (+ eps (PI))))))))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (cos (+ eps (PI))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ eps (PI))) (* -1 (* x (sin (+ eps (PI)))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ eps (PI))) (* x (- (* -1/2 (* x (cos (+ eps (PI))))) (sin (+ eps (PI)))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ eps (PI))) (* x (- (* x (+ (* -1/2 (cos (+ eps (PI)))) (* 1/6 (* x (sin (+ eps (PI))))))) (sin (+ eps (PI)))))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (+ eps (PI)))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (+ eps (+ x (PI))))) |
#s(approx (+ eps x) #s(hole binary64 eps)) |
#s(approx (+ eps x) #s(hole binary64 (+ eps x))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (pow x 2)))) |
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* (pow x 2) (+ eps (/ eps (pow x 2)))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (sin (+ eps (+ x (PI))))) (* (cos (+ eps (+ x (PI)))) (sin x))) (* (cos x) (cos (+ eps (+ x (PI)))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (* (cos x) (sin (+ eps (+ x (PI))))) (* (cos (+ eps (+ x (PI)))) (sin x))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (cos (+ eps (+ x (PI))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (cos (+ eps (+ x (PI)))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 x)) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (* x (+ 1 (+ (/ eps x) (/ (PI) x)))))) |
#s(approx (+ eps x) #s(hole binary64 x)) |
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (sin (- (+ eps (PI)) (* -1 x)))) (* (cos (- (+ eps (PI)) (* -1 x))) (sin x))) (* (cos x) (cos (- (+ eps (PI)) (* -1 x))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (* (cos x) (sin (- (+ eps (PI)) (* -1 x)))) (* (cos (- (+ eps (PI)) (* -1 x))) (sin x))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (cos (- (+ eps (PI)) (* -1 x)))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (cos (- (+ eps (PI)) (* -1 x))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (tan eps) #s(hole binary64 eps)) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2)))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 eps)) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2)))))) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2))))) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))) |
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 1/3)) |
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2))))) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (+ 1 (pow x 2))))) |
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (/ (sin (PI)) (cos (PI))))) |
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI)))))) |
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI)))))) |
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI)))))) |
#s(approx (+ (PI) eps) #s(hole binary64 (PI))) |
#s(approx (+ (PI) eps) #s(hole binary64 (+ eps (PI)))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x))) (* (cos x) (cos (+ x (PI))))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (- (+ (* eps (- 1 (+ (* -1 (/ (* (sin x) (sin (+ x (PI)))) (* (cos x) (cos (+ x (PI)))))) (* -1 (/ (* (sin (+ x (PI))) (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x)))) (* (cos x) (pow (cos (+ x (PI))) 2))))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1/2 (/ (sin (+ x (PI))) (cos (+ x (PI))))) (+ (* -1 (/ (* (sin (+ x (PI))) (- 1 (+ (* -1 (/ (* (sin x) (sin (+ x (PI)))) (* (cos x) (cos (+ x (PI)))))) (* -1 (/ (* (sin (+ x (PI))) (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x)))) (* (cos x) (pow (cos (+ x (PI))) 2))))))) (cos (+ x (PI))))) (+ (* -1/2 (/ (sin x) (cos x))) (* -1/2 (/ (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x))) (* (cos x) (cos (+ x (PI))))))))))) (+ (* -1 (/ (* (sin x) (sin (+ x (PI)))) (* (cos x) (cos (+ x (PI)))))) (* -1 (/ (* (sin (+ x (PI))) (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x)))) (* (cos x) (pow (cos (+ x (PI))) 2))))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (+ (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (sin (+ x (PI))) (- (* -1/2 (/ (sin (+ x (PI))) (cos (+ x (PI))))) (+ (* -1 (/ (* (sin (+ x (PI))) (- 1 (+ (* -1 (/ (* (sin x) (sin (+ x (PI)))) (* (cos x) (cos (+ x (PI)))))) (* -1 (/ (* (sin (+ x (PI))) (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x)))) (* (cos x) (pow (cos (+ x (PI))) 2))))))) (cos (+ x (PI))))) (+ (* -1/2 (/ (sin x) (cos x))) (* -1/2 (/ (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x))) (* (cos x) (cos (+ x (PI)))))))))) (cos (+ x (PI))))) (+ (* -1/2 (- 1 (+ (* -1 (/ (* (sin x) (sin (+ x (PI)))) (* (cos x) (cos (+ x (PI)))))) (* -1 (/ (* (sin (+ x (PI))) (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x)))) (* (cos x) (pow (cos (+ x (PI))) 2))))))) (+ (* 1/6 (/ (* (sin x) (sin (+ x (PI)))) (* (cos x) (cos (+ x (PI)))))) (* 1/6 (/ (* (sin (+ x (PI))) (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x)))) (* (cos x) (pow (cos (+ x (PI))) 2)))))))))) (* -1/2 (/ (sin (+ x (PI))) (cos (+ x (PI)))))) (+ (* -1 (/ (* (sin (+ x (PI))) (- 1 (+ (* -1 (/ (* (sin x) (sin (+ x (PI)))) (* (cos x) (cos (+ x (PI)))))) (* -1 (/ (* (sin (+ x (PI))) (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x)))) (* (cos x) (pow (cos (+ x (PI))) 2))))))) (cos (+ x (PI))))) (+ (* -1/2 (/ (sin x) (cos x))) (* -1/2 (/ (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x))) (* (cos x) (cos (+ x (PI))))))))))) (+ (* -1 (/ (* (sin x) (sin (+ x (PI)))) (* (cos x) (cos (+ x (PI)))))) (* -1 (/ (* (sin (+ x (PI))) (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x)))) (* (cos x) (pow (cos (+ x (PI))) 2))))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (+ (* eps (- (* (cos x) (cos (+ x (PI)))) (* -1 (* (sin x) (sin (+ x (PI))))))) (* (cos x) (sin (+ x (PI))))) (* (cos (+ x (PI))) (sin x))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (+ (* eps (- (+ (* eps (- (* -1/2 (* (cos x) (sin (+ x (PI))))) (* -1/2 (* (cos (+ x (PI))) (sin x))))) (* (cos x) (cos (+ x (PI))))) (* -1 (* (sin x) (sin (+ x (PI))))))) (* (cos x) (sin (+ x (PI))))) (* (cos (+ x (PI))) (sin x))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (+ (* eps (- (+ (* eps (- (+ (* -1/2 (* (cos x) (sin (+ x (PI))))) (* eps (- (* -1/6 (* (cos x) (cos (+ x (PI))))) (* 1/6 (* (sin x) (sin (+ x (PI)))))))) (* -1/2 (* (cos (+ x (PI))) (sin x))))) (* (cos x) (cos (+ x (PI))))) (* -1 (* (sin x) (sin (+ x (PI))))))) (* (cos x) (sin (+ x (PI))))) (* (cos (+ x (PI))) (sin x))))) |
#s(approx (neg (sin eps)) #s(hole binary64 (* -1 eps))) |
#s(approx (neg (sin eps)) #s(hole binary64 (* eps (- (* 1/6 (pow eps 2)) 1)))) |
#s(approx (neg (sin eps)) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2)))) 1)))) |
#s(approx (neg (sin eps)) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) 1)))) |
#s(approx (sin eps) #s(hole binary64 eps)) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2)))))) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))))) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (cos (+ x (PI)))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin (+ x (PI)))))) (* (cos x) (cos (+ x (PI))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin (+ x (PI))))) (* -1/2 (* eps (* (cos x) (cos (+ x (PI)))))))) (* (cos x) (cos (+ x (PI))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin (+ x (PI))))) (* eps (+ (* -1/2 (* (cos x) (cos (+ x (PI))))) (* 1/6 (* eps (* (cos x) (sin (+ x (PI)))))))))) (* (cos x) (cos (+ x (PI))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (cos (+ x (PI))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ x (PI))) (* -1 (* eps (sin (+ x (PI)))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ x (PI))) (* eps (- (* -1/2 (* eps (cos (+ x (PI))))) (sin (+ x (PI)))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ x (PI))) (* eps (- (* eps (+ (* -1/2 (cos (+ x (PI)))) (* 1/6 (* eps (sin (+ x (PI))))))) (sin (+ x (PI)))))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (+ x (PI)))) |
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* 2/15 (pow eps 5)))) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (+ 2/15 (* 1/3 (/ 1 (pow eps 2))))))) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow eps 2))) (/ 1 (pow eps 4))))))) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (* 2/15 (pow eps 4)))) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (+ 2/15 (* 1/3 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (+ 2/15 (+ (* 1/3 (/ 1 (pow eps 2))) (/ 1 (pow eps 4))))))) |
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 (* 2/15 (pow eps 2)))) |
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 (* (pow eps 2) (+ 2/15 (* 1/3 (/ 1 (pow eps 2))))))) |
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))) |
#s(approx (+ (PI) eps) #s(hole binary64 eps)) |
#s(approx (+ (PI) eps) #s(hole binary64 (* eps (+ 1 (/ (PI) eps))))) |
#s(approx (neg (sin eps)) #s(hole binary64 (* -1 (sin eps)))) |
#s(approx (sin eps) #s(hole binary64 (sin eps))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 eps)) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) eps)))))) |
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) (pow eps 2))) 2/15))))) |
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (pow x 2)) 1))))) |
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (/ (sin (- (PI) (* -1 eps))) (cos (- (PI) (* -1 eps)))))) |
#s(approx (+ (PI) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (PI) eps)) 1))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (sin (- (+ x (PI)) (* -1 eps)))) (* (cos (- (+ x (PI)) (* -1 eps))) (sin x))) (* (cos x) (cos (- (+ x (PI)) (* -1 eps))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (* (cos x) (sin (- (+ x (PI)) (* -1 eps)))) (* (cos (- (+ x (PI)) (* -1 eps))) (sin x))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (cos (- (+ x (PI)) (* -1 eps)))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (cos (- (+ x (PI)) (* -1 eps))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | eps | @ | -inf | ((- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (+ (* (* eps eps) 2/15) 1/3) (* eps eps) eps 2/15 1/3 1 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (+ (* (* x x) eps) eps) (* x x) x (- (tan (+ x eps)) (tan x)) (tan (+ (PI) eps)) (+ (PI) eps) (PI) (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (neg (sin eps)) (sin eps) (* (cos (+ (PI) (+ eps x))) (cos x)) (cos (+ (PI) (+ eps x))) (+ (PI) (+ eps x)) (+ eps x) (cos x)) |
| 5.0ms | eps | @ | 0 | ((- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (+ (* (* eps eps) 2/15) 1/3) (* eps eps) eps 2/15 1/3 1 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (+ (* (* x x) eps) eps) (* x x) x (- (tan (+ x eps)) (tan x)) (tan (+ (PI) eps)) (+ (PI) eps) (PI) (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (neg (sin eps)) (sin eps) (* (cos (+ (PI) (+ eps x))) (cos x)) (cos (+ (PI) (+ eps x))) (+ (PI) (+ eps x)) (+ eps x) (cos x)) |
| 5.0ms | eps | @ | inf | ((- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (+ (* (* eps eps) 2/15) 1/3) (* eps eps) eps 2/15 1/3 1 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (+ (* (* x x) eps) eps) (* x x) x (- (tan (+ x eps)) (tan x)) (tan (+ (PI) eps)) (+ (PI) eps) (PI) (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (neg (sin eps)) (sin eps) (* (cos (+ (PI) (+ eps x))) (cos x)) (cos (+ (PI) (+ eps x))) (+ (PI) (+ eps x)) (+ eps x) (cos x)) |
| 4.0ms | x | @ | inf | ((- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (+ (* (* eps eps) 2/15) 1/3) (* eps eps) eps 2/15 1/3 1 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (+ (* (* x x) eps) eps) (* x x) x (- (tan (+ x eps)) (tan x)) (tan (+ (PI) eps)) (+ (PI) eps) (PI) (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (neg (sin eps)) (sin eps) (* (cos (+ (PI) (+ eps x))) (cos x)) (cos (+ (PI) (+ eps x))) (+ (PI) (+ eps x)) (+ eps x) (cos x)) |
| 3.0ms | x | @ | -inf | ((- (tan (+ x eps)) (tan x)) (tan eps) (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (+ (* (* eps eps) 2/15) 1/3) (* eps eps) eps 2/15 1/3 1 (- (tan (+ x eps)) (tan x)) (* (- 1 (neg (pow (tan x) 2))) eps) (+ (* (* x x) eps) eps) (* x x) x (- (tan (+ x eps)) (tan x)) (tan (+ (PI) eps)) (+ (PI) eps) (PI) (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (neg (sin eps)) (sin eps) (* (cos (+ (PI) (+ eps x))) (cos x)) (cos (+ (PI) (+ eps x))) (+ (PI) (+ eps x)) (+ eps x) (cos x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 744 | 4758 |
| 0 | 773 | 3663 |
| 1 | 4910 | 3439 |
| 0 | 8068 | 3351 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))) |
#s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) |
(fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) |
(*.f64 eps eps) |
eps |
#s(literal 2/15 binary64) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)) |
(fma.f64 (*.f64 x x) eps eps) |
(*.f64 x x) |
x |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (PI.f64) eps))) |
(tan.f64 (+.f64 (PI.f64) eps)) |
(+.f64 (PI.f64) eps) |
(PI.f64) |
(/.f64 #s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (neg.f64 (sin.f64 eps))) |
(neg.f64 (sin.f64 eps)) |
(sin.f64 eps) |
(*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x)) |
(cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) |
(+.f64 (PI.f64) (+.f64 eps x)) |
(+.f64 eps x) |
(cos.f64 x) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 eps)) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* eps (pow x 2))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (+ eps (* (pow x 2) (+ eps (* (pow x 2) (+ (* 17/45 (* eps (pow x 2))) (* 2/3 eps)))))))) |
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 eps)) |
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (+ eps (* eps (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (+ (/ (sin (+ eps (PI))) (cos (+ eps (PI)))) (/ (* x (pow (sin (+ eps (PI))) 2)) (pow (cos (+ eps (PI))) 2))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 3) (pow (cos (+ eps (PI))) 3)))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))) (+ (/ (* (sin (+ eps (PI))) (+ (* -1 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 3) (pow (cos (+ eps (PI))) 3))))) (cos (+ eps (PI)))) (/ (* (sin (+ eps (PI))) (+ (* 1/6 (sin (+ eps (PI)))) (* 1/2 (sin (+ eps (PI)))))) (pow (cos (+ eps (PI))) 2)))))) (+ (* -1 (/ (sin (+ eps (PI))) (cos (+ eps (PI))))) (* -1 (/ (pow (sin (+ eps (PI))) 3) (pow (cos (+ eps (PI))) 3)))))) (* -1 (/ (pow (sin (+ eps (PI))) 2) (pow (cos (+ eps (PI))) 2))))) (/ (sin (+ eps (PI))) (cos (+ eps (PI))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (sin (+ eps (PI))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* (pow x 4) (- (+ (* 1/12 (sin (+ eps (PI)))) (* 1/4 (sin (+ eps (PI))))) (* 1/3 (sin (+ eps (PI))))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* (pow x 4) (- (+ (* 1/12 (sin (+ eps (PI)))) (+ (* 1/4 (sin (+ eps (PI)))) (* (pow x 2) (- (+ (* -1/24 (sin (+ eps (PI)))) (* -1/360 (sin (+ eps (PI))))) (+ (* -1/36 (sin (+ eps (PI)))) (* -1/60 (sin (+ eps (PI))))))))) (* 1/3 (sin (+ eps (PI))))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (+ (sin (+ eps (PI))) (* (pow x 4) (- (+ (* 1/12 (sin (+ eps (PI)))) (+ (* 1/4 (sin (+ eps (PI)))) (* (pow x 2) (- (+ (* -1/24 (sin (+ eps (PI)))) (+ (* -1/360 (sin (+ eps (PI)))) (* (pow x 2) (- (+ (* 1/20160 (sin (+ eps (PI)))) (+ (* 1/720 (sin (+ eps (PI)))) (* 1/576 (sin (+ eps (PI)))))) (+ (* 1/2520 (sin (+ eps (PI)))) (* 1/360 (sin (+ eps (PI))))))))) (+ (* -1/36 (sin (+ eps (PI)))) (* -1/60 (sin (+ eps (PI))))))))) (* 1/3 (sin (+ eps (PI))))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (cos (+ eps (PI))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (cos (+ eps (PI))) (* -1 (* x (sin (+ eps (PI)))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (cos (+ eps (PI))) (* x (+ (* -1 (sin (+ eps (PI)))) (* -1 (* x (cos (+ eps (PI)))))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (cos (+ eps (PI))) (* x (+ (* -1 (sin (+ eps (PI)))) (* x (+ (* -1 (cos (+ eps (PI)))) (* x (+ (* 1/6 (sin (+ eps (PI)))) (* 1/2 (sin (+ eps (PI))))))))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (cos (+ eps (PI))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ eps (PI))) (* -1 (* x (sin (+ eps (PI)))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ eps (PI))) (* x (- (* -1/2 (* x (cos (+ eps (PI))))) (sin (+ eps (PI)))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ eps (PI))) (* x (- (* x (+ (* -1/2 (cos (+ eps (PI)))) (* 1/6 (* x (sin (+ eps (PI))))))) (sin (+ eps (PI)))))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (+ eps (PI)))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (+ eps (+ x (PI))))) |
#s(approx (+ eps x) #s(hole binary64 eps)) |
#s(approx (+ eps x) #s(hole binary64 (+ eps x))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) #s(hole binary64 (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (pow x 2)))) |
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* (pow x 2) (+ eps (/ eps (pow x 2)))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (sin (+ eps (+ x (PI))))) (* (cos (+ eps (+ x (PI)))) (sin x))) (* (cos x) (cos (+ eps (+ x (PI)))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (* (cos x) (sin (+ eps (+ x (PI))))) (* (cos (+ eps (+ x (PI)))) (sin x))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (cos (+ eps (+ x (PI))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (cos (+ eps (+ x (PI)))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 x)) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (* x (+ 1 (+ (/ eps x) (/ (PI) x)))))) |
#s(approx (+ eps x) #s(hole binary64 x)) |
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (sin (- (+ eps (PI)) (* -1 x)))) (* (cos (- (+ eps (PI)) (* -1 x))) (sin x))) (* (cos x) (cos (- (+ eps (PI)) (* -1 x))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (* (cos x) (sin (- (+ eps (PI)) (* -1 x)))) (* (cos (- (+ eps (PI)) (* -1 x))) (sin x))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (cos (- (+ eps (PI)) (* -1 x)))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (cos (- (+ eps (PI)) (* -1 x))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))))) |
#s(approx (tan eps) #s(hole binary64 eps)) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2)))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))))) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 eps)) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2)))))) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))))) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow eps 2))))) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))) |
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 1/3)) |
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 (+ 1/3 (* 2/15 (pow eps 2))))) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* eps (+ 1 (pow x 2))))) |
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (/ (sin (PI)) (cos (PI))))) |
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI)))))) |
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI)))))) |
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (PI)) 2) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (pow (cos (PI)) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (* 1/6 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2)))))))) (* -1 (/ (* (sin (PI)) (- 1 (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (cos (PI))))))) (* -1 (/ (pow (sin (PI)) 2) (pow (cos (PI)) 2))))) (/ (sin (PI)) (cos (PI)))))) |
#s(approx (+ (PI) eps) #s(hole binary64 (PI))) |
#s(approx (+ (PI) eps) #s(hole binary64 (+ eps (PI)))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x))) (* (cos x) (cos (+ x (PI))))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (- (+ (* eps (- 1 (+ (* -1 (/ (* (sin x) (sin (+ x (PI)))) (* (cos x) (cos (+ x (PI)))))) (* -1 (/ (* (sin (+ x (PI))) (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x)))) (* (cos x) (pow (cos (+ x (PI))) 2))))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1/2 (/ (sin (+ x (PI))) (cos (+ x (PI))))) (+ (* -1 (/ (* (sin (+ x (PI))) (- 1 (+ (* -1 (/ (* (sin x) (sin (+ x (PI)))) (* (cos x) (cos (+ x (PI)))))) (* -1 (/ (* (sin (+ x (PI))) (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x)))) (* (cos x) (pow (cos (+ x (PI))) 2))))))) (cos (+ x (PI))))) (+ (* -1/2 (/ (sin x) (cos x))) (* -1/2 (/ (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x))) (* (cos x) (cos (+ x (PI))))))))))) (+ (* -1 (/ (* (sin x) (sin (+ x (PI)))) (* (cos x) (cos (+ x (PI)))))) (* -1 (/ (* (sin (+ x (PI))) (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x)))) (* (cos x) (pow (cos (+ x (PI))) 2))))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (+ (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (sin (+ x (PI))) (- (* -1/2 (/ (sin (+ x (PI))) (cos (+ x (PI))))) (+ (* -1 (/ (* (sin (+ x (PI))) (- 1 (+ (* -1 (/ (* (sin x) (sin (+ x (PI)))) (* (cos x) (cos (+ x (PI)))))) (* -1 (/ (* (sin (+ x (PI))) (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x)))) (* (cos x) (pow (cos (+ x (PI))) 2))))))) (cos (+ x (PI))))) (+ (* -1/2 (/ (sin x) (cos x))) (* -1/2 (/ (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x))) (* (cos x) (cos (+ x (PI)))))))))) (cos (+ x (PI))))) (+ (* -1/2 (- 1 (+ (* -1 (/ (* (sin x) (sin (+ x (PI)))) (* (cos x) (cos (+ x (PI)))))) (* -1 (/ (* (sin (+ x (PI))) (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x)))) (* (cos x) (pow (cos (+ x (PI))) 2))))))) (+ (* 1/6 (/ (* (sin x) (sin (+ x (PI)))) (* (cos x) (cos (+ x (PI)))))) (* 1/6 (/ (* (sin (+ x (PI))) (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x)))) (* (cos x) (pow (cos (+ x (PI))) 2)))))))))) (* -1/2 (/ (sin (+ x (PI))) (cos (+ x (PI)))))) (+ (* -1 (/ (* (sin (+ x (PI))) (- 1 (+ (* -1 (/ (* (sin x) (sin (+ x (PI)))) (* (cos x) (cos (+ x (PI)))))) (* -1 (/ (* (sin (+ x (PI))) (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x)))) (* (cos x) (pow (cos (+ x (PI))) 2))))))) (cos (+ x (PI))))) (+ (* -1/2 (/ (sin x) (cos x))) (* -1/2 (/ (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x))) (* (cos x) (cos (+ x (PI))))))))))) (+ (* -1 (/ (* (sin x) (sin (+ x (PI)))) (* (cos x) (cos (+ x (PI)))))) (* -1 (/ (* (sin (+ x (PI))) (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x)))) (* (cos x) (pow (cos (+ x (PI))) 2))))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin x) (cos x))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (* (cos x) (sin (+ x (PI)))) (* (cos (+ x (PI))) (sin x))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (+ (* eps (- (* (cos x) (cos (+ x (PI)))) (* -1 (* (sin x) (sin (+ x (PI))))))) (* (cos x) (sin (+ x (PI))))) (* (cos (+ x (PI))) (sin x))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (+ (* eps (- (+ (* eps (- (* -1/2 (* (cos x) (sin (+ x (PI))))) (* -1/2 (* (cos (+ x (PI))) (sin x))))) (* (cos x) (cos (+ x (PI))))) (* -1 (* (sin x) (sin (+ x (PI))))))) (* (cos x) (sin (+ x (PI))))) (* (cos (+ x (PI))) (sin x))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (+ (* eps (- (+ (* eps (- (+ (* -1/2 (* (cos x) (sin (+ x (PI))))) (* eps (- (* -1/6 (* (cos x) (cos (+ x (PI))))) (* 1/6 (* (sin x) (sin (+ x (PI)))))))) (* -1/2 (* (cos (+ x (PI))) (sin x))))) (* (cos x) (cos (+ x (PI))))) (* -1 (* (sin x) (sin (+ x (PI))))))) (* (cos x) (sin (+ x (PI))))) (* (cos (+ x (PI))) (sin x))))) |
#s(approx (neg (sin eps)) #s(hole binary64 (* -1 eps))) |
#s(approx (neg (sin eps)) #s(hole binary64 (* eps (- (* 1/6 (pow eps 2)) 1)))) |
#s(approx (neg (sin eps)) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2)))) 1)))) |
#s(approx (neg (sin eps)) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) 1)))) |
#s(approx (sin eps) #s(hole binary64 eps)) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2)))))) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))))) |
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (cos (+ x (PI)))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (* -1 (* eps (* (cos x) (sin (+ x (PI)))))) (* (cos x) (cos (+ x (PI))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin (+ x (PI))))) (* -1/2 (* eps (* (cos x) (cos (+ x (PI)))))))) (* (cos x) (cos (+ x (PI))))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (+ (* eps (+ (* -1 (* (cos x) (sin (+ x (PI))))) (* eps (+ (* -1/2 (* (cos x) (cos (+ x (PI))))) (* 1/6 (* eps (* (cos x) (sin (+ x (PI)))))))))) (* (cos x) (cos (+ x (PI))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (cos (+ x (PI))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ x (PI))) (* -1 (* eps (sin (+ x (PI)))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ x (PI))) (* eps (- (* -1/2 (* eps (cos (+ x (PI))))) (sin (+ x (PI)))))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (+ (cos (+ x (PI))) (* eps (- (* eps (+ (* -1/2 (cos (+ x (PI)))) (* 1/6 (* eps (sin (+ x (PI))))))) (sin (+ x (PI)))))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (+ x (PI)))) |
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps)))) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* 2/15 (pow eps 5)))) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (+ 2/15 (* 1/3 (/ 1 (pow eps 2))))))) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* (pow eps 5) (+ 2/15 (+ (* 1/3 (/ 1 (pow eps 2))) (/ 1 (pow eps 4))))))) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (* 2/15 (pow eps 4)))) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (+ 2/15 (* 1/3 (/ 1 (pow eps 2))))))) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(hole binary64 (* (pow eps 4) (+ 2/15 (+ (* 1/3 (/ 1 (pow eps 2))) (/ 1 (pow eps 4))))))) |
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 (* 2/15 (pow eps 2)))) |
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(hole binary64 (* (pow eps 2) (+ 2/15 (* 1/3 (/ 1 (pow eps 2))))))) |
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (/ (sin (+ eps (PI))) (cos (+ eps (PI)))))) |
#s(approx (+ (PI) eps) #s(hole binary64 eps)) |
#s(approx (+ (PI) eps) #s(hole binary64 (* eps (+ 1 (/ (PI) eps))))) |
#s(approx (neg (sin eps)) #s(hole binary64 (* -1 (sin eps)))) |
#s(approx (sin eps) #s(hole binary64 (sin eps))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 eps)) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) eps)))))) |
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))))) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) #s(hole binary64 (* -1 (* (pow eps 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) (pow eps 2))) 2/15))))) |
#s(approx (+ (* (* x x) eps) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (pow x 2)) 1))))) |
#s(approx (tan (+ (PI) eps)) #s(hole binary64 (/ (sin (- (PI) (* -1 eps))) (cos (- (PI) (* -1 eps)))))) |
#s(approx (+ (PI) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (PI) eps)) 1))))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) #s(hole binary64 (/ (- (* (cos x) (sin (- (+ x (PI)) (* -1 eps)))) (* (cos (- (+ x (PI)) (* -1 eps))) (sin x))) (* (cos x) (cos (- (+ x (PI)) (* -1 eps))))))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(hole binary64 (- (* (cos x) (sin (- (+ x (PI)) (* -1 eps)))) (* (cos (- (+ x (PI)) (* -1 eps))) (sin x))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) #s(hole binary64 (* (cos x) (cos (- (+ x (PI)) (* -1 eps)))))) |
#s(approx (cos (+ (PI) (+ eps x))) #s(hole binary64 (cos (- (+ x (PI)) (* -1 eps))))) |
#s(approx (+ (PI) (+ eps x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
| Outputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan (+ (PI) eps)) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))) |
#s(approx (tan (+ (PI) eps)) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps) |
(*.f64 eps (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) eps (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) eps)) |
(fma.f64 #s(literal 1 binary64) eps (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps))) |
(fma.f64 eps #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) eps)) |
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps))) |
(+.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) eps)) |
(+.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 eps (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps) eps)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64))) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64)))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64)))))) |
(fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) |
(fma.f64 eps (*.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) |
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/15 binary64) (*.f64 eps eps))) |
(+.f64 (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64))) |
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64))) |
(*.f64 (fabs.f64 eps) (fabs.f64 eps)) |
(*.f64 (neg.f64 eps) (neg.f64 eps)) |
(*.f64 eps eps) |
(pow.f64 eps #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))) |
eps |
#s(literal 2/15 binary64) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps) |
(*.f64 eps (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) eps)) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x x) eps) eps)) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) eps))) (-.f64 eps (*.f64 (*.f64 x x) eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) eps) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 x x) eps) eps)))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) eps) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (*.f64 (*.f64 x x) eps) (*.f64 (*.f64 x x) eps)) (*.f64 eps (*.f64 (*.f64 x x) eps))))) |
(fma.f64 (*.f64 x x) eps eps) |
(fma.f64 #s(literal 1 binary64) eps (*.f64 (*.f64 x x) eps)) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 eps #s(literal 1 binary64) (*.f64 (*.f64 x x) eps)) |
(fma.f64 x (*.f64 x eps) eps) |
(-.f64 eps (*.f64 (neg.f64 eps) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 x x) eps)) |
(+.f64 (*.f64 (*.f64 x x) eps) eps) |
(+.f64 eps (*.f64 (*.f64 x x) eps)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
x |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps)) |
(/.f64 (+.f64 (tan.f64 eps) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 eps) #s(literal 0 binary64)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 eps)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (neg.f64 (cos.f64 eps)))) |
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps))) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (PI.f64) (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) |
(tan.f64 (+.f64 (PI.f64) (+.f64 (PI.f64) eps))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64))) |
(tan.f64 (+.f64 (PI.f64) eps)) |
(tan.f64 eps) |
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 eps eps)) (-.f64 (PI.f64) eps)) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (PI.f64) (PI.f64))) (-.f64 eps (PI.f64))) |
(/.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 eps eps) (*.f64 (PI.f64) eps)))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 eps (PI.f64))))) |
(+.f64 (PI.f64) eps) |
(+.f64 eps (PI.f64)) |
(PI.f64) |
(/.f64 (/.f64 #s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (neg.f64 (sin.f64 eps))) (neg.f64 (cos.f64 (+.f64 eps x)))) (cos.f64 x)) |
(/.f64 (neg.f64 #s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (neg.f64 (sin.f64 eps)))) (neg.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))) |
(/.f64 #s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (neg.f64 (sin.f64 eps))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (neg.f64 (sin.f64 eps))) |
(*.f64 #s(literal -1 binary64) (sin.f64 eps)) |
(*.f64 (sin.f64 eps) #s(literal -1 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 eps (neg.f64 (PI.f64)))) (sin.f64 (+.f64 eps (neg.f64 (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 eps (PI.f64))) (neg.f64 (sin.f64 eps))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) eps)) (cos.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) eps))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 eps (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(neg.f64 (sin.f64 eps)) |
(sin.f64 (+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (neg.f64 eps)) |
(sin.f64 (+.f64 (PI.f64) eps)) |
(fma.f64 #s(literal 0 binary64) (cos.f64 eps) (neg.f64 (sin.f64 eps))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 eps) (*.f64 (cos.f64 eps) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 eps) #s(literal -1 binary64) (*.f64 (cos.f64 eps) #s(literal 0 binary64))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 eps) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 eps)) (neg.f64 (sin.f64 eps))) |
(+.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) #s(literal 0 binary64))) |
(sin.f64 eps) |
(*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)) |
(*.f64 (cos.f64 x) (neg.f64 (cos.f64 (+.f64 eps x)))) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x))) (sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) x)) (sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) x))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (+.f64 eps x) (PI.f64))))) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (+.f64 (+.f64 eps x) (PI.f64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 eps x) (PI.f64)))) (sin.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 eps x) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 eps x) (PI.f64))) (neg.f64 x))) (cos.f64 (-.f64 (neg.f64 (+.f64 (+.f64 eps x) (PI.f64))) (neg.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 eps x) (PI.f64))) x)) (cos.f64 (-.f64 (neg.f64 (+.f64 (+.f64 eps x) (PI.f64))) x))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (neg.f64 x))) (cos.f64 (-.f64 (+.f64 (+.f64 eps x) (PI.f64)) (neg.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (neg.f64 (+.f64 (+.f64 eps x) (PI.f64))))) (cos.f64 (-.f64 (neg.f64 x) (neg.f64 (+.f64 (+.f64 eps x) (PI.f64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (+.f64 (+.f64 eps x) (PI.f64)))) (cos.f64 (-.f64 (neg.f64 x) (+.f64 (+.f64 eps x) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 x (neg.f64 (+.f64 (+.f64 eps x) (PI.f64))))) (cos.f64 (-.f64 x (neg.f64 (+.f64 (+.f64 eps x) (PI.f64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) x)) (cos.f64 (-.f64 (+.f64 (+.f64 eps x) (PI.f64)) x))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 x (+.f64 (+.f64 eps x) (PI.f64)))) (cos.f64 (-.f64 x (+.f64 (+.f64 eps x) (PI.f64))))) #s(literal 2 binary64)) |
(neg.f64 (cos.f64 (+.f64 eps x))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 eps x) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 eps x) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (cos.f64 (+.f64 eps x)) #s(literal -1 binary64)) (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) |
(-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 eps x)))) |
(-.f64 (*.f64 (cos.f64 eps) (neg.f64 (cos.f64 x))) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 eps x) (PI.f64))))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 eps x)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 eps x) (PI.f64)))) |
(cos.f64 (+.f64 (+.f64 eps x) (PI.f64))) |
(+.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 eps x))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) x))) (-.f64 eps (+.f64 (PI.f64) x))) |
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 eps x) (+.f64 eps x))) (-.f64 (PI.f64) (+.f64 eps x))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 (PI.f64) x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (+.f64 (PI.f64) x) (+.f64 (PI.f64) x)) (*.f64 eps (+.f64 (PI.f64) x))))) |
(/.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (PI.f64) (+.f64 eps x))))) |
(+.f64 (+.f64 (PI.f64) x) eps) |
(+.f64 (+.f64 (PI.f64) eps) x) |
(+.f64 (+.f64 eps x) (PI.f64)) |
(+.f64 (PI.f64) (+.f64 eps x)) |
(+.f64 eps (+.f64 (PI.f64) x)) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x 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 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x eps)))) |
(+.f64 eps x) |
(+.f64 x eps) |
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (tan.f64 eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))))) (cos.f64 eps)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) x (tan.f64 eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))))) #s(literal 1/2 binary64)) x)) (neg.f64 (*.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) (cos.f64 eps))))) x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) x (tan.f64 eps))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps)) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 x x) eps) eps) (*.f64 x x) eps)) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 2/3 binary64) eps)) (*.f64 x x) eps) (*.f64 x x) eps)) |
#s(approx (+ (* (* x x) eps) eps) eps) |
#s(approx (+ (* (* x x) eps) eps) (fma.f64 (*.f64 x x) eps eps)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx x x) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (tan.f64 eps)) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (fma.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))) (tan.f64 eps))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (fma.f64 (-.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (neg.f64 (tan.f64 eps)))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) x (tan.f64 eps))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (fma.f64 (-.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (/.f64 (+.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (neg.f64 (tan.f64 eps))) (neg.f64 (cos.f64 eps))) (/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 2/3 binary64)) (neg.f64 (sin.f64 eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) x)) (neg.f64 (tan.f64 eps))) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps))))))) x (tan.f64 eps))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (neg.f64 (sin.f64 eps))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (fma.f64 (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/3 binary64) (neg.f64 (sin.f64 eps)))) (*.f64 (*.f64 x x) (*.f64 x x)) (neg.f64 (sin.f64 eps)))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (fma.f64 (-.f64 (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1/3 binary64) (*.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 eps)) #s(literal -2/45 binary64)) (*.f64 (neg.f64 (sin.f64 eps)) #s(literal -2/45 binary64))) (*.f64 x x))) (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 1/3 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)) (neg.f64 (sin.f64 eps)))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (fma.f64 (-.f64 (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1/3 binary64) (*.f64 (-.f64 (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal -2/45 binary64) (*.f64 (-.f64 (fma.f64 (neg.f64 (sin.f64 eps)) #s(literal 1/320 binary64) (*.f64 #s(literal 1/20160 binary64) (neg.f64 (sin.f64 eps)))) (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 1/315 binary64))) (*.f64 x x))) (*.f64 (neg.f64 (sin.f64 eps)) #s(literal -2/45 binary64))) (*.f64 x x))) (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 1/3 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)) (neg.f64 (sin.f64 eps)))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (neg.f64 (cos.f64 eps))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (fma.f64 (neg.f64 x) (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (fma.f64 x (fma.f64 (neg.f64 x) (neg.f64 (cos.f64 eps)) (neg.f64 (neg.f64 (sin.f64 eps)))) (neg.f64 (cos.f64 eps)))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 (neg.f64 (sin.f64 eps)) #s(literal 2/3 binary64)) x (neg.f64 (neg.f64 (cos.f64 eps)))) (neg.f64 (neg.f64 (sin.f64 eps)))) (neg.f64 (cos.f64 eps)))) |
#s(approx (cos (+ (PI) (+ eps x))) (neg.f64 (cos.f64 eps))) |
#s(approx (cos (+ (PI) (+ eps x))) (fma.f64 (neg.f64 x) (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 eps)))) |
#s(approx (cos (+ (PI) (+ eps x))) (fma.f64 x (-.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 eps)) x) #s(literal -1/2 binary64)) (neg.f64 (sin.f64 eps))) (neg.f64 (cos.f64 eps)))) |
#s(approx (cos (+ (PI) (+ eps x))) (fma.f64 x (-.f64 (*.f64 (fma.f64 (neg.f64 (cos.f64 eps)) #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 (sin.f64 eps)) x) #s(literal 1/6 binary64))) x) (neg.f64 (sin.f64 eps))) (neg.f64 (cos.f64 eps)))) |
#s(approx (+ (PI) (+ eps x)) (+.f64 (PI.f64) eps)) |
#s(approx (+ (PI) (+ eps x)) (+.f64 (+.f64 eps x) (PI.f64))) |
#s(approx (+ eps x) eps) |
#s(approx (+ eps x) (+.f64 eps x)) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) |
#s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) eps)) |
#s(approx (+ (* (* x x) eps) eps) (*.f64 (*.f64 x x) eps)) |
#s(approx (+ (* (* x x) eps) eps) (*.f64 (+.f64 (/.f64 eps (*.f64 x x)) eps) (*.f64 x x))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (/.f64 (sin.f64 (-.f64 (+.f64 (+.f64 eps x) (PI.f64)) x)) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (sin.f64 (-.f64 (+.f64 (+.f64 eps x) (PI.f64)) x))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x))) |
#s(approx (cos (+ (PI) (+ eps x))) (neg.f64 (cos.f64 (+.f64 eps x)))) |
#s(approx (+ (PI) (+ eps x)) x) |
#s(approx (+ (PI) (+ eps x)) (*.f64 (+.f64 (/.f64 (+.f64 (PI.f64) eps) x) #s(literal 1 binary64)) x)) |
#s(approx (+ eps x) x) |
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x)) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 eps (neg.f64 x))) (tan.f64 x))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (/.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (PI.f64) eps) (neg.f64 x)) x)) (*.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) eps) (neg.f64 x))) (cos.f64 x)))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (sin.f64 (-.f64 (-.f64 (+.f64 (PI.f64) eps) (neg.f64 x)) x))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (*.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) eps) (neg.f64 x))) (cos.f64 x))) |
#s(approx (cos (+ (PI) (+ eps x))) (cos.f64 (-.f64 (+.f64 (PI.f64) eps) (neg.f64 x)))) |
#s(approx (+ (PI) (+ eps x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (+.f64 (PI.f64) eps) x)) #s(literal 1 binary64)))) |
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (cos.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) #s(literal 1/6 binary64)) eps)) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (cos.f64 x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 (neg.f64 eps) (fma.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (cos.f64 x))) #s(literal -1/2 binary64) (fma.f64 (sin.f64 x) (/.f64 (+.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) #s(literal 1/6 binary64)) (cos.f64 x)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (sin.f64 x))) (cos.f64 x))))) #s(literal 1/6 binary64)) (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))) eps) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) (cos.f64 x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) eps)) |
#s(approx (tan (+ (PI) eps)) eps) |
#s(approx (tan (+ (PI) eps)) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)) |
#s(approx (tan (+ (PI) eps)) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (tan (+ (PI) eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) eps) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64))) |
#s(approx (+ (* (* eps eps) 2/15) 1/3) #s(literal 1/3 binary64)) |
#s(approx (+ (* (* eps eps) 2/15) 1/3) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) |
#s(approx (* eps eps) (*.f64 eps eps)) |
#s(approx eps eps) |
#s(approx (+ (* (* x x) eps) eps) (fma.f64 (*.f64 x x) eps eps)) |
#s(approx (tan (+ (PI) eps)) #s(literal 0 binary64)) |
#s(approx (tan (+ (PI) eps)) (fma.f64 #s(literal 1 binary64) eps #s(literal 0 binary64))) |
#s(approx (tan (+ (PI) eps)) (fma.f64 (-.f64 (fma.f64 #s(literal 0 binary64) eps #s(literal 1 binary64)) #s(literal 0 binary64)) eps #s(literal 0 binary64))) |
#s(approx (tan (+ (PI) eps)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 eps) #s(literal -1/3 binary64) #s(literal 0 binary64)) eps #s(literal 1 binary64)) #s(literal 0 binary64)) eps #s(literal 0 binary64))) |
#s(approx (+ (PI) eps) (PI.f64)) |
#s(approx (+ (PI) eps) (+.f64 (PI.f64) eps)) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (/.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) x) x)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) x) x)) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) eps (-.f64 (tan.f64 x) (tan.f64 x)))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (fma.f64 (-.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (tan.f64 x) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (tan.f64 x) (/.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) x) x)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))) (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) x) x)) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) (neg.f64 (cos.f64 x))))))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) x) x)) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) eps (-.f64 (tan.f64 x) (tan.f64 x)))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (fma.f64 (-.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (tan.f64 x) #s(literal -1/2 binary64) (*.f64 (neg.f64 eps) (+.f64 (+.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) x) x)) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) x) x)) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))))) (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 (*.f64 (tan.f64 x) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (tan.f64 x) (/.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) x) x)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))) (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) x) x)) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) (neg.f64 (cos.f64 x))))))) (neg.f64 (cos.f64 x)))))) #s(literal 1/6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (tan.f64 x) (/.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) x) x)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))) (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) x) x)) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) (neg.f64 (cos.f64 x))))))) eps #s(literal 1 binary64)) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) x) x)) (neg.f64 (sin.f64 x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x))))) eps (-.f64 (tan.f64 x) (tan.f64 x)))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (sin.f64 (-.f64 (+.f64 (PI.f64) x) x))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (fma.f64 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) eps (sin.f64 (-.f64 (+.f64 (PI.f64) x) x)))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (fma.f64 (-.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 (+.f64 (PI.f64) x) x))) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) eps (sin.f64 (-.f64 (+.f64 (PI.f64) x) x)))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (fma.f64 (-.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) eps (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) #s(literal -1/2 binary64))) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))) eps (sin.f64 (-.f64 (+.f64 (PI.f64) x) x)))) |
#s(approx (neg (sin eps)) (neg.f64 eps)) |
#s(approx (neg (sin eps)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) |
#s(approx (neg (sin eps)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) eps)) |
#s(approx (neg (sin eps)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 eps eps)) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) eps)) |
#s(approx (sin eps) eps) |
#s(approx (sin eps) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (sin eps) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (sin eps) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 eps eps) #s(literal 1/120 binary64)) (*.f64 eps eps)) #s(literal 1/6 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps)) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (-.f64 (*.f64 (neg.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)) (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) (neg.f64 (cos.f64 x)))) eps (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 x)))) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) |
#s(approx (cos (+ (PI) (+ eps x))) (neg.f64 (cos.f64 x))) |
#s(approx (cos (+ (PI) (+ eps x))) (fma.f64 (neg.f64 eps) (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))) |
#s(approx (cos (+ (PI) (+ eps x))) (fma.f64 eps (-.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 x)) eps) #s(literal -1/2 binary64)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))) |
#s(approx (cos (+ (PI) (+ eps x))) (fma.f64 eps (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (neg.f64 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1/2 binary64))) eps) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))) |
#s(approx (+ (PI) (+ eps x)) (+.f64 (PI.f64) x)) |
#s(approx (tan (+ (PI) eps)) (tan.f64 eps)) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 2/15 binary64))) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) #s(literal 2/15 binary64)))) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) #s(literal 2/15 binary64)) (pow.f64 eps #s(literal 5 binary64)))) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 2/15 binary64))) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) #s(literal 2/15 binary64)))) |
#s(approx (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (/.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) #s(literal 2/15 binary64)) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) |
#s(approx (+ (* (* eps eps) 2/15) 1/3) (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64))) |
#s(approx (+ (* (* eps eps) 2/15) 1/3) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) #s(literal 2/15 binary64)) (*.f64 eps eps))) |
#s(approx (tan (+ (PI) eps)) (tan.f64 eps)) |
#s(approx (+ (PI) eps) eps) |
#s(approx (+ (PI) eps) (*.f64 (+.f64 (/.f64 (PI.f64) eps) #s(literal 1 binary64)) eps)) |
#s(approx (neg (sin eps)) (neg.f64 (sin.f64 eps))) |
#s(approx (sin eps) (sin.f64 eps)) |
#s(approx (+ (PI) (+ eps x)) eps) |
#s(approx (+ (PI) (+ eps x)) (*.f64 (+.f64 (/.f64 (+.f64 (PI.f64) x) eps) #s(literal 1 binary64)) eps)) |
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 x))) |
#s(approx (* (+ (* (+ (* (* eps eps) 2/15) 1/3) (* eps eps)) 1) eps) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 1/3 binary64)) (*.f64 eps eps))) #s(literal 2/15 binary64)) (pow.f64 eps #s(literal 5 binary64))))) |
#s(approx (+ (* (* x x) eps) eps) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))) |
#s(approx (tan (+ (PI) eps)) (tan.f64 (-.f64 (PI.f64) (neg.f64 eps)))) |
#s(approx (+ (PI) eps) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (PI.f64) eps)) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (* (cos (+ (PI) (+ eps x))) (cos x))) (/.f64 (sin.f64 (-.f64 (-.f64 (+.f64 (PI.f64) x) (neg.f64 eps)) x)) (*.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) x) (neg.f64 eps))) (cos.f64 x)))) |
#s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (sin.f64 (-.f64 (-.f64 (+.f64 (PI.f64) x) (neg.f64 eps)) x))) |
#s(approx (* (cos (+ (PI) (+ eps x))) (cos x)) (*.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) x) (neg.f64 eps))) (cos.f64 x))) |
#s(approx (cos (+ (PI) (+ eps x))) (cos.f64 (-.f64 (+.f64 (PI.f64) x) (neg.f64 eps)))) |
#s(approx (+ (PI) (+ eps x)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (+.f64 (PI.f64) x) eps)) #s(literal 1 binary64)))) |
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)))) |
Compiled 12 197 to 1 596 computations (86.9% saved)
12 alts after pruning (3 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 321 | 3 | 324 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 6 | 6 |
| Total | 322 | 12 | 334 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (/.f64 #s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(approx (neg (sin eps)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) eps))) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x))) | |
| 100.0% | (/.f64 #s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(approx (neg (sin eps)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps))) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x))) | |
| ✓ | 3.3% | (-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x)) |
| ✓ | 61.7% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| ✓ | 99.7% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)) |
| ✓ | 99.7% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)) |
| 2.8% | #s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) | |
| ✓ | 3.0% | #s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (PI.f64) eps))) |
| ✓ | 99.6% | #s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps))) |
| ✓ | 99.3% | #s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps)) |
| ✓ | 99.3% | #s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))) |
| ✓ | 99.3% | #s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))) |
Compiled 841 to 343 computations (59.2% saved)
| Inputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (PI.f64) eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x)) |
(/.f64 #s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(approx (neg (sin eps)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps))) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x))) |
(/.f64 #s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(approx (neg (sin eps)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) eps))) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x))) |
(/.f64 #s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x))) |
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps))) |
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x))) |
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) #s(approx (tan eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps)))) (cos.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(approx (+ (tan x) (tan eps)) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps (tan.f64 x))) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) |
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) |
(/.f64 #s(approx (- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x))) (*.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal 2/15 binary64) (*.f64 #s(literal 2/15 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) (*.f64 eps eps) (*.f64 (cos.f64 x) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (cos.f64 x))) (*.f64 eps eps) (cos.f64 x)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (cos.f64 x)))) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (cos.f64 x))) |
| Outputs |
|---|
(/.f64 #s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(approx (neg (sin eps)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)) (*.f64 eps eps)) #s(literal 1 binary64)) eps))) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x))) |
3 calls:
| 7.0ms | x |
| 5.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 5.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 100.0% | 1 | x |
| 100.0% | 1 | eps |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (PI.f64) eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x)) |
(/.f64 #s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(approx (neg (sin eps)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps))) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x))) |
| Outputs |
|---|
(/.f64 #s(approx (- (* (sin (+ (PI) (+ eps x))) (cos x)) (* (cos (+ (PI) (+ eps x))) (sin x))) #s(approx (neg (sin eps)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps))) (*.f64 (cos.f64 (+.f64 (PI.f64) (+.f64 eps x))) (cos.f64 x))) |
3 calls:
| 3.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 3.0ms | eps |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 100.0% | 1 | x |
| 100.0% | 1 | eps |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (PI.f64) eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 x)) |
| Outputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) eps)) |
3 calls:
| 4.0ms | eps |
| 3.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 99.7% | 1 | x |
| 99.7% | 1 | eps |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (PI.f64) eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) (tan.f64 (+.f64 (+.f64 (PI.f64) eps) (PI.f64)))) |
| Outputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- 1 (neg (pow (tan x) 2))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 1 binary64))) eps)) |
3 calls:
| 3.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 2.0ms | eps |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 99.7% | 1 | x |
| 99.7% | 1 | eps |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (tan eps) (*.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 eps eps) #s(literal 1 binary64)) eps))) |
| Outputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) (fma.f64 (*.f64 x x) eps eps))) |
3 calls:
| 2.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 2.0ms | x |
| 2.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 99.6% | 1 | x |
| 99.6% | 1 | eps |
Compiled 9 to 10 computations (-11.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps)) |
| Outputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- 1 (neg (pow (tan x) 2))) eps) eps)) |
3 calls:
| 1.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 1.0ms | eps |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 99.3% | 1 | x |
| 99.3% | 1 | eps |
Compiled 9 to 10 computations (-11.1% saved)
| 1× | fuel |
Compiled 180 to 66 computations (63.3% saved)
Compiled 444 to 192 computations (56.8% saved)
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