
Time bar (total: 7.7s)
| 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)
| 2.9s | 26 247× | 0 | invalid |
| 870.0ms | 5 140× | 1 | valid |
| 713.0ms | 3 116× | 0 | valid |
ival-sin: 755.0ms (23.4% of total)ival-sub: 589.0ms (18.3% of total)const: 520.0ms (16.1% of total)ival-fabs: 343.0ms (10.6% of total)ival-add: 310.0ms (9.6% of total)ival-mult: 266.0ms (8.3% of total)adjust: 217.0ms (6.7% of total)ival-<: 127.0ms (3.9% of total)ival-and: 78.0ms (2.4% of total)ival-assert: 15.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 231 | 3 | (2.951004843385784e-253 1.9417586934747439e-255) | 6 | (-1.0196635956323071e-246 3.3247637638894428e-248) | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 2 | 0 | - | 0 | - | (sin.f64 (+.f64 x eps)) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (+.f64 x eps) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) | cancellation | 228 | 6 |
sin.f64 | (sin.f64 (+.f64 x eps)) | sensitivity | 2 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 225 | 6 |
| - | 3 | 22 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 225 | 5 | 1 |
| - | 3 | 1 | 21 |
| number | freq |
|---|---|
| 0 | 28 |
| 1 | 226 |
| 2 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 40.0ms | 324× | 1 | valid |
| 9.0ms | 184× | 0 | valid |
| 1.0ms | 2× | 2 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-sin: 14.0ms (41.4% of total)adjust: 10.0ms (29.6% of total)ival-add: 5.0ms (14.8% of total)ival-sub: 4.0ms (11.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 50 |
| 1 | 25 | 50 |
| 2 | 32 | 50 |
| 3 | 40 | 50 |
| 4 | 53 | 50 |
| 5 | 81 | 50 |
| 6 | 140 | 50 |
| 7 | 385 | 50 |
| 8 | 1451 | 50 |
| 9 | 5230 | 50 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 11 | 7 |
| 0 | 11 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| Outputs |
|---|
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.2% | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
(sin.f64 (+.f64 x eps)) |
(+.f64 x eps) |
x |
eps |
(sin.f64 x) |
| Outputs |
|---|
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1))))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (sin eps))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (cos eps))))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps)))))))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (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 (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x)))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (+ eps x)))) |
#s(approx (+ x eps) #s(hole binary64 x)) |
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x)))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- eps (* -1 x))))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x)))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (sin x))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (cos x))))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x)))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- x (* -1 eps))))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x)) |
| 1.0ms | eps | @ | inf | ((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x)) |
| 1.0ms | eps | @ | -inf | ((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x)) |
| 1.0ms | x | @ | -inf | ((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x)) |
| 1.0ms | eps | @ | 0 | ((- (sin (+ x eps)) (sin x)) (sin (+ x eps)) (+ x eps) x eps (sin x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 538 |
| 0 | 155 | 526 |
| 1 | 931 | 520 |
| 0 | 8567 | 489 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
(sin.f64 (+.f64 x eps)) |
(+.f64 x eps) |
x |
eps |
(sin.f64 x) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1))))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (sin eps))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (cos eps))))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* -1/2 (* x (sin eps)))))))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin eps) (* x (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* -1/6 (* x (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 (sin x) #s(hole binary64 x)) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x)))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (+ eps x)))) |
#s(approx (+ x eps) #s(hole binary64 x)) |
#s(approx (+ x eps) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x)))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- eps (* -1 x))))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x)))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (sin x))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (cos x))))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* -1/2 (* eps (sin x)))))))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (+ (sin x) (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x)))) |
#s(approx (sin (+ x eps)) #s(hole binary64 (sin (- x (* -1 eps))))) |
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (neg.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))))) |
(/.f64 (*.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) |
(/.f64 (*.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))))) |
(fma.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))))) |
(fma.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))))) |
(fma.f64 (cos.f64 x) (sin.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) |
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))) |
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) |
(-.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))))) |
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x) (sin.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps) (sin.f64 x))) |
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) |
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)))) (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)) (fma.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))))) |
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x)))) |
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps)))) |
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x)))) |
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) |
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps)))) |
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(sin.f64 (+.f64 eps x)) |
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps))) |
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 eps)))) |
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x)))) |
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) eps x) (+.f64 eps x))) (neg.f64 (fma.f64 #s(literal -1 binary64) eps x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x eps) (+.f64 eps x))) (neg.f64 (fma.f64 #s(literal -1 binary64) x eps))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 (*.f64 eps x) #s(literal -1 binary64) (*.f64 eps eps))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (fma.f64 (*.f64 eps x) #s(literal -1 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) eps x) (+.f64 eps x)) (fma.f64 #s(literal -1 binary64) eps x)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x eps) (+.f64 eps x)) (fma.f64 #s(literal -1 binary64) x eps)) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 (*.f64 eps x) #s(literal -1 binary64) (*.f64 eps eps)))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (fma.f64 (*.f64 eps x) #s(literal -1 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 (*.f64 eps x) #s(literal -1 binary64) (*.f64 eps eps)))) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 (*.f64 eps x) #s(literal -1 binary64) (*.f64 eps eps))))) |
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (fma.f64 (*.f64 eps x) #s(literal -1 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (fma.f64 (*.f64 eps x) #s(literal -1 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) eps x)) (/.f64 (*.f64 eps eps) (fma.f64 #s(literal -1 binary64) eps x))) |
(-.f64 (/.f64 (*.f64 eps eps) (fma.f64 #s(literal -1 binary64) x eps)) (/.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) x eps))) |
(-.f64 eps (*.f64 #s(literal -1 binary64) x)) |
(-.f64 x (*.f64 #s(literal -1 binary64) eps)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 (*.f64 eps x) #s(literal -1 binary64) (*.f64 eps eps)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 (*.f64 eps x) #s(literal -1 binary64) (*.f64 eps eps))))) |
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (fma.f64 (*.f64 eps x) #s(literal -1 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 eps eps) #s(literal 1 binary64) (fma.f64 (*.f64 eps x) #s(literal -1 binary64) (*.f64 x x))))) |
(+.f64 eps (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(+.f64 eps x) |
(+.f64 x (*.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))) |
(+.f64 x eps) |
x |
eps |
(sin.f64 x) |
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (fma.f64 #s(literal 1 binary64) (cos.f64 eps) #s(literal -1 binary64)) x (sin.f64 eps))) |
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64) #s(literal -1 binary64)) x (sin.f64 eps))) |
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (cos.f64 eps) #s(literal 1/6 binary64)) x (*.f64 #s(literal -1/2 binary64) (sin.f64 eps))) x (cos.f64 eps)) #s(literal 1 binary64) #s(literal -1 binary64)) x (sin.f64 eps))) |
#s(approx (sin (+ x eps)) (sin.f64 eps)) |
#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 eps) x (sin.f64 eps))) |
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) x (sin.f64 eps))) |
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 eps) x) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 eps))) x (cos.f64 eps)) x (sin.f64 eps))) |
#s(approx (+ x eps) eps) |
#s(approx (+ x eps) (+.f64 eps x)) |
#s(approx x x) |
#s(approx (sin x) x) |
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64) #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) (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x)) |
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) |
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x))) |
#s(approx (+ x eps) x) |
#s(approx (+ x eps) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1 binary64) #s(literal 1 binary64)) x)) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) |
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x))) |
#s(approx (+ x eps) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)) |
#s(approx (sin (+ x eps)) (sin.f64 x)) |
#s(approx (sin (+ x eps)) (fma.f64 (cos.f64 x) eps (sin.f64 x))) |
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps (sin.f64 x))) |
#s(approx (sin (+ x eps)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps (sin.f64 x))) |
#s(approx eps eps) |
#s(approx (+ x eps) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 1 binary64) #s(literal 1 binary64)) eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) |
#s(approx (sin (+ x eps)) (sin.f64 (+.f64 eps x))) |
#s(approx (+ x eps) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) eps) #s(literal -1 binary64))) |
Compiled 2 132 to 385 computations (81.9% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 102 | 1 | 103 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 103 | 1 | 104 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | #s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)) |
Compiled 30 to 19 computations (36.7% saved)
| Inputs |
|---|
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
#s(literal 1/24 binary64) |
(*.f64 (sin.f64 x) eps) |
(sin.f64 x) |
x |
eps |
(*.f64 (cos.f64 x) #s(literal -1/6 binary64)) |
(cos.f64 x) |
#s(literal -1/6 binary64) |
(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2)))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2)))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 -1/6)) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2))))))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2))))))))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 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 x #s(hole binary64 x)) |
#s(approx (* (cos x) -1/6) #s(hole binary64 -1/6)) |
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6))) |
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6))) |
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6))) |
#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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x))) |
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2)))) |
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))) |
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x)))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x)))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x)))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x)))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x)))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3)))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3)))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2) |
| 3.0ms | x | @ | 0 | ((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2) |
| 2.0ms | x | @ | inf | ((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2) |
| 2.0ms | eps | @ | inf | ((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2) |
| 2.0ms | eps | @ | -inf | ((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 398 | 2488 |
| 0 | 421 | 2462 |
| 1 | 2438 | 2462 |
| 0 | 9451 | 2368 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
#s(literal 1/24 binary64) |
(*.f64 (sin.f64 x) eps) |
(sin.f64 x) |
x |
eps |
(*.f64 (cos.f64 x) #s(literal -1/6 binary64)) |
(cos.f64 x) |
#s(literal -1/6 binary64) |
(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
#s(literal -1/2 binary64) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2)))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2)))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 -1/6)) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2))))))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2))))))))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 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 x #s(hole binary64 x)) |
#s(approx (* (cos x) -1/6) #s(hole binary64 -1/6)) |
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6))) |
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6))) |
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6))) |
#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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x))) |
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2)))) |
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))) |
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x)))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x)))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x)))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x)))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x)))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3)))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3)))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps))))))) |
| Outputs |
|---|
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps) |
(*.f64 eps (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 x) eps) (*.f64 (cos.f64 x) eps)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps) (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps)) (*.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 x) eps) (*.f64 (cos.f64 x) eps)) (-.f64 (*.f64 (*.f64 eps (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)) (*.f64 eps (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))) (*.f64 (*.f64 (cos.f64 x) eps) (*.f64 eps (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))))) |
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps)) |
(fma.f64 (cos.f64 x) eps (*.f64 eps (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))) |
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps)) |
(fma.f64 eps (cos.f64 x) (*.f64 eps (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))) |
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps)) |
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 eps (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (cos.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x) (pow.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (cos.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (cos.f64 x))) |
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x) (pow.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (cos.f64 x) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (cos.f64 x))))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) |
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(/.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/13824 binary64) (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))) |
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(fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) eps) (sin.f64 x) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
(fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))))) |
(-.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/24 binary64) (*.f64 (sin.f64 x) eps))) |
(-.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1/6 binary64))) |
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(+.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) |
(+.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
#s(literal 1/24 binary64) |
(*.f64 (sin.f64 x) eps) |
(*.f64 eps (sin.f64 x)) |
(sin.f64 x) |
x |
eps |
(*.f64 (cos.f64 x) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (cos.f64 x)) |
(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))))) |
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(cos.f64 (*.f64 #s(literal -1 binary64) 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(literal -1/6 binary64) |
(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps))) |
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps))) |
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#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) |
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#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
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#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/144 binary64) (*.f64 eps eps) #s(literal 1/12 binary64)) x) eps (*.f64 #s(literal 1/12 binary64) (*.f64 eps eps))) #s(literal 1/2 binary64)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (*.f64 eps eps) #s(literal 1/12 binary64)) x (*.f64 #s(literal 1/12 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(literal -1/6 binary64)) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x (*.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64))) |
#s(approx (* (sin x) eps) (*.f64 eps x)) |
#s(approx (* (sin x) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x)) |
#s(approx (* (sin x) eps) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x)) |
#s(approx (* (sin x) eps) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 1/120 binary64) eps)) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x)) |
#s(approx (sin x) x) |
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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 x x) |
#s(approx (* (cos x) -1/6) #s(literal -1/6 binary64)) |
#s(approx (* (cos x) -1/6) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64))) |
#s(approx (* (cos x) -1/6) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))) |
#s(approx (* (cos x) -1/6) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4320 binary64) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))) |
#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 (*.f64 x x) #s(literal 1/24 binary64)) #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 (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (* -1/2 (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (* -1/2 (sin x)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) x)) |
#s(approx (* -1/2 (sin x)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/10080 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) x)) |
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)))) |
#s(approx (* (sin x) eps) (*.f64 (sin.f64 x) eps)) |
#s(approx (sin x) (sin.f64 x)) |
#s(approx (* (cos x) -1/6) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) |
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (fma.f64 (sin.f64 eps) (cos.f64 (*.f64 #s(literal 1 binary64) x)) (*.f64 (cos.f64 eps) (sin.f64 (*.f64 #s(literal 1 binary64) x)))) (sin.f64 x))) |
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (cos.f64 x) eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (cos.f64 x) eps)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x)) eps)) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (cos.f64 x)) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (cos.f64 x))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
#s(approx eps eps) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64))) (sin.f64 x))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) eps))))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 eps eps) eps)) (sin.f64 x))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (*.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) eps))))) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (*.f64 eps eps))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (*.f64 eps eps))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (fma.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1 binary64) eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1 binary64) eps)))) (sin.f64 x))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps) #s(literal -1 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) #s(literal -1 binary64) (*.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps) #s(literal -1 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps) #s(literal -1 binary64) (*.f64 #s(literal -1/24 binary64) (sin.f64 x))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) #s(literal -1 binary64) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps) #s(literal -1 binary64) (*.f64 #s(literal -1/24 binary64) (sin.f64 x))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (*.f64 (cos.f64 x) #s(literal 1/6 binary64))) eps) #s(literal -1 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (*.f64 eps eps))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64))) eps) #s(literal -1 binary64))) |
Compiled 9 367 to 1 115 computations (88.1% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 203 | 2 | 205 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 204 | 2 | 206 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | #s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))) |
| ▶ | 99.2% | #s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps)) |
Compiled 69 to 44 computations (36.2% saved)
| Inputs |
|---|
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
#s(literal 1/24 binary64) |
(*.f64 (sin.f64 x) eps) |
(sin.f64 x) |
x |
eps |
(*.f64 (cos.f64 x) #s(literal -1/6 binary64)) |
(cos.f64 x) |
#s(literal -1/6 binary64) |
(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
#s(literal -1/2 binary64) |
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))) |
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps) |
(*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) |
(fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) |
(fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) |
| Outputs |
|---|
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2)))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2)))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 -1/6)) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2))))))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2))))))))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 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 x #s(hole binary64 x)) |
#s(approx (* (cos x) -1/6) #s(hole binary64 -1/6)) |
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6))) |
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6))) |
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6))) |
#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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x))) |
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2)))) |
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))) |
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (+ eps (* -1/6 (pow eps 3))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (+ eps (+ (* -1/6 (pow eps 3)) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (* 1/12 (pow eps 3)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (+ (* 1/12 (pow eps 3)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (* -1/6 (pow eps 3)))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (+ (* -1/6 (pow eps 3)) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (+ (* -1/6 (pow eps 3)) (* x (+ (* 1/12 (* (pow eps 3) x)) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* 1/12 (pow eps 3)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* -1/6 (pow eps 2)))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))))))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2))))) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 -1/6)) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6))) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6))) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6))) |
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps x)))) |
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* x (+ (* -1/144 (* eps (pow x 2))) (* 1/24 eps))))) |
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* x (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/144 eps) (* 1/2880 (* eps (pow x 2))))))))) |
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* x (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/144 eps) (* (pow x 2) (+ (* -1/120960 (* eps (pow x 2))) (* 1/2880 eps))))))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x)))) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (+ (* eps (cos x)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) |
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps (sin x))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x)))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x)))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x)))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x)))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* eps (cos x)))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* -1/2 (* eps (sin x))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x)))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (* -1/6 (cos x)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3)))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3)))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3)))))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (* 1/24 (* eps (sin x))))) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps))))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x)))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x)))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps))))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x))))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | eps | @ | 0 | ((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (cos x) (+ (* (* x x) -1/2) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (* (* (sin x) eps) 1/24)) |
| 3.0ms | x | @ | inf | ((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (cos x) (+ (* (* x x) -1/2) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (* (* (sin x) eps) 1/24)) |
| 3.0ms | x | @ | -inf | ((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (cos x) (+ (* (* x x) -1/2) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (* (* (sin x) eps) 1/24)) |
| 2.0ms | x | @ | 0 | ((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (cos x) (+ (* (* x x) -1/2) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (* (* (sin x) eps) 1/24)) |
| 2.0ms | eps | @ | -inf | ((- (sin (+ x eps)) (sin x)) (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) 1/24 (* (sin x) eps) (sin x) x eps (* (cos x) -1/6) (cos x) -1/6 (* -1/2 (sin x)) -1/2 (cos x) (+ (* (* x x) -1/2) 1) (* x x) 1 (- (sin (+ x eps)) (sin x)) (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) (* (* (sin x) eps) 1/24)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 550 | 4971 |
| 0 | 591 | 4905 |
| 1 | 3218 | 4905 |
| 0 | 8036 | 4686 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
#s(literal 1/24 binary64) |
(*.f64 (sin.f64 x) eps) |
(sin.f64 x) |
x |
eps |
(*.f64 (cos.f64 x) #s(literal -1/6 binary64)) |
(cos.f64 x) |
#s(literal -1/6 binary64) |
(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
#s(literal -1/2 binary64) |
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))) |
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps) |
(*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) |
(fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) |
(fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (sin eps))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (cos eps) 1))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* -1/2 (* x (sin eps)))) 1))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (+ (sin eps) (* x (- (+ (cos eps) (* x (+ (* -1/2 (sin eps)) (* x (+ 1/6 (* -1/6 (cos eps))))))) 1))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* eps (* x (- (* 1/12 (pow eps 2)) 1/2))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (+ (* eps (+ 1 (* -1/6 (pow eps 2)))) (* x (+ (* x (+ (* eps (- (* 1/12 (pow eps 2)) 1/2)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (* -1/6 (pow eps 2))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (* 1/12 (pow eps 2)) 1/2)))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ 1 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (- (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))) 1/2)))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 -1/6)) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* eps x))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* -1/6 (* eps (pow x 2))))))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* 1/120 (* eps (pow x 2))))))))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* x (+ eps (* (pow x 2) (+ (* -1/6 eps) (* (pow x 2) (+ (* -1/5040 (* eps (pow x 2))) (* 1/120 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 x #s(hole binary64 x)) |
#s(approx (* (cos x) -1/6) #s(hole binary64 -1/6)) |
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* 1/12 (pow x 2)) 1/6))) |
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* -1/144 (pow x 2)))) 1/6))) |
#s(approx (* (cos x) -1/6) #s(hole binary64 (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/4320 (pow x 2)) 1/144)))) 1/6))) |
#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 (* -1/2 (sin x)) #s(hole binary64 (* -1/2 x))) |
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* 1/12 (pow x 2)) 1/2)))) |
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* -1/240 (pow x 2)))) 1/2)))) |
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/10080 (pow x 2)) 1/240)))) 1/2)))) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (+ eps (* -1/6 (pow eps 3))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (+ eps (+ (* -1/6 (pow eps 3)) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (* 1/12 (pow eps 3)))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (+ eps (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* -1/2 eps) (+ (* 1/12 (pow eps 3)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2)))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (* -1/6 (pow eps 3)))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (+ (* -1/6 (pow eps 3)) (* (pow eps 2) (* x (- (* 1/24 (pow eps 2)) 1/2)))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (+ (* -1/6 (pow eps 3)) (* x (+ (* 1/12 (* (pow eps 3) x)) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (+ (* -1/6 (pow eps 3)) (* x (+ (* x (+ (* 1/12 (pow eps 3)) (* (pow eps 2) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* -1/6 (pow eps 2)))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* eps (* x (- (* 1/24 (pow eps 2)) 1/2)))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* x (+ (* 1/12 (* (pow eps 2) x)) (* eps (- (* 1/24 (pow eps 2)) 1/2))))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (+ (* -1/6 (pow eps 2)) (* x (+ (* eps (- (* 1/24 (pow eps 2)) 1/2)) (* x (+ (* 1/12 (pow eps 2)) (* eps (* x (+ 1/12 (* -1/144 (pow eps 2)))))))))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/6 eps))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (* 1/24 (pow eps 2)) 1/2))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* 1/12 (* eps x))) 1/2))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/6 eps) (* x (- (+ (* 1/24 (pow eps 2)) (* x (+ (* 1/12 eps) (* x (+ 1/12 (* -1/144 (pow eps 2))))))) 1/2))))) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 -1/6)) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (- (* 1/24 (* eps x)) 1/6))) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* 1/12 x))) 1/6))) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (- (* x (+ (* 1/24 eps) (* x (+ 1/12 (* -1/144 (* eps x)))))) 1/6))) |
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps x)))) |
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* x (+ (* -1/144 (* eps (pow x 2))) (* 1/24 eps))))) |
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* x (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/144 eps) (* 1/2880 (* eps (pow x 2))))))))) |
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* x (+ (* 1/24 eps) (* (pow x 2) (+ (* -1/144 eps) (* (pow x 2) (+ (* -1/120960 (* eps (pow x 2))) (* 1/2880 eps))))))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (+ eps x)) (sin x)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) |
#s(approx (* (sin x) eps) #s(hole binary64 (* eps (sin x)))) |
#s(approx (sin x) #s(hole binary64 (sin x))) |
#s(approx (* (cos x) -1/6) #s(hole binary64 (* -1/6 (cos x)))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* -1/2 (sin x)) #s(hole binary64 (* -1/2 (sin x)))) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (+ (* eps (cos x)) (* (pow eps 2) (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))) |
#s(approx (* (* (sin x) eps) 1/24) #s(hole binary64 (* 1/24 (* eps (sin x))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- eps (* -1 x))) (sin x)))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (cos x)))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (cos x)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (cos x))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* -1/2 (* eps (sin x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x)))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1/6 (cos x)))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* eps (cos x)))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* eps (+ (cos x) (* -1/2 (* eps (sin x))))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* eps (+ (cos x) (* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x))))))))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (* -1/2 (* (pow eps 2) (sin x))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* -1/2 (* eps (sin x))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x))))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (* -1/2 (sin x)))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (* -1/6 (cos x)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3)))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3)))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* 1/24 (* eps (sin x))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (+ (* 1/24 (sin x)) (/ (cos x) (pow eps 3)))))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (* 1/24 (* (pow eps 4) (sin x))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* 1/24 (* (pow eps 3) (sin x))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* (pow eps 3) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (* 1/24 (* (pow eps 2) (sin x))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1/2 (/ (sin x) (pow eps 2))) (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x))))))) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (* 1/24 (* eps (sin x))))) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (* eps (+ (* -1/6 (/ (cos x) eps)) (* 1/24 (sin x)))))) |
#s(approx (- (sin (+ x eps)) (sin x)) #s(hole binary64 (- (sin (- x (* -1 eps))) (sin x)))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x)))))) |
#s(approx (* (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x))))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (cos x) eps)) (* 1/2 (sin x))) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x))))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps))))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (sin x)) (/ (cos x) eps)) eps)) (* 1/6 (cos x))) eps)) (* 1/24 (sin x)))))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) #s(hole binary64 (* (pow eps 4) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x)))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps))))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) #s(hole binary64 (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (/ (sin x) eps)) (* -1/6 (cos x))) eps)) (* -1/24 (sin x))))))) |
#s(approx (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* 1/6 (cos x)) (* 1/2 (/ (sin x) eps))) eps)) (* 1/24 (sin x)))))) |
#s(approx (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) #s(hole binary64 (* -1 (* eps (+ (* -1/24 (sin x)) (* 1/6 (/ (cos x) eps))))))) |
| Outputs |
|---|
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps) |
(*.f64 eps (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)) (*.f64 #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 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (neg.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) eps) (pow.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (-.f64 (*.f64 #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 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)) (*.f64 #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 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) eps) (pow.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (-.f64 (*.f64 #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 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(fma.f64 eps (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (/.f64 (*.f64 #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 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) eps)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (-.f64 (*.f64 #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 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))))) (/.f64 (pow.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) (-.f64 (*.f64 #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 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(+.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps)) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps))))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps)) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (neg.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (-.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps)) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (neg.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (neg.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (-.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps)) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps)) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (neg.f64 (fma.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps)) (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) eps (*.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) eps)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))) |
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x |
eps |
(*.f64 (cos.f64 x) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (cos.f64 x)) |
(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))))) |
(sin.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x))) |
(cos.f64 (*.f64 #s(literal -1 binary64) x)) |
(cos.f64 x) |
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#s(literal -1/6 binary64) |
(*.f64 #s(literal -1/2 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
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(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
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(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
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(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
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(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
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(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
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(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps) |
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(fma.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 #s(literal 1/24 binary64) eps) (sin.f64 x) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
(fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
(fma.f64 (sin.f64 x) (*.f64 #s(literal 1/24 binary64) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))) |
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(-.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 (sin.f64 x) eps)) #s(literal 1/24 binary64))) |
(-.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/24 binary64) (*.f64 (sin.f64 x) eps))) |
(-.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1/6 binary64))) |
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(+.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) |
(+.f64 (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) eps) |
(*.f64 (*.f64 #s(literal 1/24 binary64) eps) (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps)) |
(*.f64 (sin.f64 x) (*.f64 #s(literal 1/24 binary64) eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (sin.f64 eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (cos.f64 eps) #s(literal 1 binary64)) x (sin.f64 eps))) |
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (-.f64 (fma.f64 (*.f64 (sin.f64 eps) x) #s(literal -1/2 binary64) (cos.f64 eps)) #s(literal 1 binary64)) x (sin.f64 eps))) |
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#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (fma.f64 (*.f64 (*.f64 eps eps) x) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (fma.f64 (fma.f64 (*.f64 eps x) (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))) x (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 eps eps) x) (fma.f64 #s(literal -1/144 binary64) (*.f64 eps eps) #s(literal 1/12 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) eps)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 eps eps))) x (*.f64 (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (fma.f64 (*.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
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#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/144 binary64) (*.f64 eps eps) #s(literal 1/12 binary64)) x) eps (*.f64 #s(literal 1/12 binary64) (*.f64 eps eps))) #s(literal 1/2 binary64)) x (*.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) eps)) x (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 #s(literal -1/6 binary64) eps)) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/144 binary64) (*.f64 eps eps) #s(literal 1/12 binary64)) x (*.f64 #s(literal 1/12 binary64) eps)) x (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/6 binary64) eps))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) #s(literal -1/6 binary64)) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) x (*.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 eps x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) x (*.f64 #s(literal 1/24 binary64) eps)) x) #s(literal 1/6 binary64))) |
#s(approx (* (sin x) eps) (*.f64 eps x)) |
#s(approx (* (sin x) eps) (*.f64 (fma.f64 (*.f64 (*.f64 x x) eps) #s(literal -1/6 binary64) eps) x)) |
#s(approx (* (sin x) eps) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x)) |
#s(approx (* (sin x) eps) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x x) eps) (*.f64 #s(literal 1/120 binary64) eps)) (*.f64 x x) (*.f64 #s(literal -1/6 binary64) eps)) (*.f64 x x) eps) x)) |
#s(approx (sin x) x) |
#s(approx (sin x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #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 x x) |
#s(approx (* (cos x) -1/6) #s(literal -1/6 binary64)) |
#s(approx (* (cos x) -1/6) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/6 binary64))) |
#s(approx (* (cos x) -1/6) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/144 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))) |
#s(approx (* (cos x) -1/6) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4320 binary64) (*.f64 x x)) #s(literal 1/144 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/6 binary64))) |
#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 (*.f64 x x) #s(literal 1/24 binary64)) #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 (* -1/2 (sin x)) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (* -1/2 (sin x)) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (* -1/2 (sin x)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) x)) |
#s(approx (* -1/2 (sin x)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/10080 binary64) (*.f64 x x)) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (* x x) -1/2) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (* x x) -1/2) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (fma.f64 (*.f64 (*.f64 eps eps) eps) #s(literal -1/6 binary64) eps)) |
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#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) eps))))) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (*.f64 eps eps))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (*.f64 eps eps))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) eps)) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64))) (sin.f64 x))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (/.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) eps))))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64))) (sin.f64 x))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) (*.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 eps eps) eps)) (sin.f64 x))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) (*.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/24 binary64)) (sin.f64 x))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (*.f64 eps eps))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 (sin.f64 x) eps) (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x)))) (*.f64 eps eps))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (-.f64 (fma.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1 binary64) eps)) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1 binary64) eps)))) (sin.f64 x))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps) #s(literal -1 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps) #s(literal -1 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) eps)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) eps)) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps) #s(literal -1 binary64) (*.f64 #s(literal -1/24 binary64) (sin.f64 x))))) |
#s(approx (+ (* (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) eps) (cos x)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) eps)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps) #s(literal -1 binary64) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps) #s(literal -1 binary64) (*.f64 #s(literal -1/24 binary64) (sin.f64 x))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps) #s(literal -1 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (*.f64 eps eps))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64))) eps) #s(literal -1 binary64))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps) #s(literal -1 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (+ (* (cos x) eps) (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) eps) #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps) #s(literal -1 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (* (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) eps) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps) #s(literal -1 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) eps)) (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64))))) |
#s(approx (* (+ (* (+ (* (cos x) -1/6) (* (* (sin x) eps) 1/24)) eps) (* -1/2 (sin x))) eps) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) eps)) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps) #s(literal -1 binary64) (*.f64 #s(literal -1/24 binary64) (sin.f64 x))))) |
#s(approx (+ (* (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) eps) (* -1/2 (sin x))) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) eps) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (cos.f64 x))) eps) #s(literal -1 binary64) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))) (*.f64 eps eps))) |
#s(approx (+ (* 1/24 (* (sin x) eps)) (* (cos x) -1/6)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (sin.f64 x) (*.f64 (/.f64 (cos.f64 x) eps) #s(literal 1/6 binary64))) eps) #s(literal -1 binary64))) |
Compiled 17 803 to 1 840 computations (89.7% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 361 | 0 | 361 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 361 | 2 | 363 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | #s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))) |
| ✓ | 99.2% | #s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps)) |
Compiled 175 to 81 computations (53.7% saved)
| Inputs |
|---|
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))) |
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| Outputs |
|---|
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))) |
3 calls:
| 2.0ms | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 2.0ms | eps |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 100.0% | 1 | x |
| 100.0% | 1 | eps |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)) |
| Outputs |
|---|
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)) |
3 calls:
| 1.0ms | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 1.0ms | eps |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 100.0% | 1 | x |
| 100.0% | 1 | eps |
Compiled 9 to 10 computations (-11.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps)) |
| Outputs |
|---|
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps)) |
3 calls:
| 1.0ms | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 1.0ms | x |
| 1.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) |
| 99.2% | 1 | x |
| 99.2% | 1 | eps |
Compiled 9 to 10 computations (-11.1% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 99 |
| 1 | 44 | 99 |
| 2 | 53 | 99 |
| 3 | 70 | 99 |
| 4 | 116 | 99 |
| 5 | 546 | 99 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))) |
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps)) |
| Outputs |
|---|
#s(approx (- (sin (+ x eps)) (sin x)) (fma.f64 (cos.f64 x) eps (*.f64 (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps) eps))) |
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (cos.f64 x)) eps)) |
#s(approx (- (sin (+ x eps)) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) eps) (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps)) |
| 1× | done |
Compiled 99 to 34 computations (65.7% saved)
Compiled 212 to 80 computations (62.3% saved)
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