
Time bar (total: 15.2s)
| 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)
| 3.2s | 26 003× | 0 | invalid |
| 588.0ms | 5 400× | 0 | valid |
| 458.0ms | 2 856× | 1 | valid |
const: 658.0ms (22.8% of total)ival-tan: 609.0ms (21.1% of total)ival-add: 277.0ms (9.6% of total)ival-<=: 260.0ms (9% of total)ival-mult: 247.0ms (8.5% of total)ival-fabs: 236.0ms (8.2% of total)ival-sub: 195.0ms (6.7% of total)ival-<: 190.0ms (6.6% of total)ival-and: 101.0ms (3.5% of total)adjust: 58.0ms (2% of total)exact: 46.0ms (1.6% of total)ival-assert: 13.0ms (0.4% of total)| 1× | egg-herbie |
| 102× | sub-neg |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 68× | cancel-sign-sub-inv |
| 64× | associate--r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 39 |
| 1 | 38 | 35 |
| 2 | 86 | 35 |
| 3 | 169 | 35 |
| 4 | 310 | 35 |
| 5 | 367 | 35 |
| 6 | 445 | 35 |
| 7 | 482 | 35 |
| 8 | 491 | 35 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 13 | 7 |
| 2 | 18 | 7 |
| 3 | 24 | 7 |
| 4 | 32 | 7 |
| 5 | 47 | 7 |
| 6 | 80 | 7 |
| 7 | 107 | 7 |
| 8 | 151 | 7 |
| 9 | 166 | 7 |
| 10 | 174 | 7 |
| 0 | 174 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Outputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 232 | 2 | (-2.0450273579720698e-101 8.984246978911584e-104) | 5 | (3.6032212195252624e-96 4.7958914859575676e-98) | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 4 | 0 | - | 2 | (-29.266469192341187 2.802427025205727e-6) | (tan.f64 (+.f64 x eps)) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (+.f64 x eps) |
| 0 | 0 | - | 0 | - | (tan.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) | cancellation | 229 | 9 |
tan.f64 | (tan.f64 (+.f64 x eps)) | sensitivity | 2 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 228 | 6 |
| - | 2 | 20 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 228 | 5 | 1 |
| - | 2 | 5 | 15 |
| number | freq |
|---|---|
| 0 | 26 |
| 1 | 229 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 47.0ms | 204× | 1 | valid |
| 24.0ms | 300× | 0 | valid |
| 2.0ms | 6× | 3 | valid |
| 0.0ms | 2× | 2 | valid |
Compiled 58 to 28 computations (51.7% saved)
ival-tan: 11.0ms (48.8% of total)adjust: 4.0ms (17.8% of total)ival-add: 3.0ms (13.3% of total)ival-sub: 3.0ms (13.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 59.4% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (tan.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 x eps) |
| ✓ | cost-diff | 0 | (tan.f64 (+.f64 x eps)) |
| ✓ | cost-diff | 0 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 80× | lower-fma.f64 |
| 80× | lower-fma.f32 |
| 48× | lower-*.f64 |
| 48× | lower-*.f32 |
| 36× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 13 | 18 |
| 2 | 18 | 18 |
| 3 | 24 | 18 |
| 4 | 32 | 18 |
| 5 | 47 | 18 |
| 6 | 80 | 18 |
| 7 | 107 | 18 |
| 8 | 151 | 18 |
| 9 | 166 | 18 |
| 10 | 174 | 18 |
| 0 | 174 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(tan.f64 (+.f64 x eps)) |
(+.f64 x eps) |
x |
eps |
(tan.f64 x) |
| Outputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(tan.f64 (+.f64 x eps)) |
(+.f64 x eps) |
x |
eps |
(tan.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x eps) |
| ✓ | accuracy | 100.0% | (tan.f64 x) |
| ✓ | accuracy | 99.8% | (tan.f64 (+.f64 x eps)) |
| ✓ | accuracy | 59.6% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 11.0ms | 150× | 0 | valid |
| 10.0ms | 102× | 1 | valid |
| 1.0ms | 3× | 3 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 20 to 8 computations (60% saved)
ival-tan: 5.0ms (45.4% of total)adjust: 2.0ms (18.2% of total)ival-add: 2.0ms (18.2% of total)ival-sub: 2.0ms (18.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))> |
#<alt (tan.f64 (+.f64 x eps))> |
#<alt (+.f64 x eps)> |
#<alt (tan.f64 x)> |
| Outputs |
|---|
#<alt (/ (sin eps) (cos eps))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))> |
#<alt (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))> |
#<alt (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x)))> |
#<alt (/ (sin eps) (cos eps))> |
#<alt (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
#<alt (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
#<alt (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))> |
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))> |
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))> |
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))> |
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))> |
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))> |
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))> |
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))> |
#<alt (/ (sin x) (cos x))> |
#<alt (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))> |
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))> |
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))> |
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))> |
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))> |
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))> |
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))> |
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))> |
#<alt eps> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt x> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt x> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt eps> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt eps> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | -inf | (- (tan (+ x eps)) (tan x)) |
| 2.0ms | eps | @ | 0 | (- (tan (+ x eps)) (tan x)) |
| 2.0ms | eps | @ | inf | (- (tan (+ x eps)) (tan x)) |
| 1.0ms | x | @ | inf | (- (tan (+ x eps)) (tan x)) |
| 1.0ms | x | @ | 0 | (- (tan (+ x eps)) (tan x)) |
| 1× | batch-egg-rewrite |
| 4 404× | lower-*.f64 |
| 4 404× | lower-*.f32 |
| 3 318× | lower-/.f64 |
| 3 318× | lower-/.f32 |
| 3 264× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 50 | 16 |
| 2 | 402 | 16 |
| 3 | 6117 | 16 |
| 0 | 8095 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(tan.f64 (+.f64 x eps)) |
(+.f64 x eps) |
(tan.f64 x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64))) |
(+.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) |
(+.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 x eps))) |
(+.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 #s(literal 0 binary64) (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps)))) |
(-.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 3 binary64)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) |
(-.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) (/.f64 (*.f64 (sin.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) |
(-.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))) |
(-.f64 (+.f64 (tan.f64 (+.f64 x eps)) #s(literal 0 binary64)) (tan.f64 x)) |
(fma.f64 (tan.f64 (+.f64 x eps)) (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))))) |
(fma.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))))) |
(fma.f64 (tan.f64 x) #s(literal -1 binary64) (tan.f64 (+.f64 x eps))) |
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps))) |
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps))) |
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x))) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) |
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(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x))))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 (*.f64 eps eps) (fma.f64 x x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 eps eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 x x (*.f64 eps eps))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64)) |
(*.f64 (+.f64 x eps) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))) |
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps))) |
(*.f64 #s(literal 1 binary64) (+.f64 x eps)) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x))))) |
(*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (*.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))) |
(*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (/.f64 (+.f64 x eps) (fma.f64 x x (*.f64 eps (-.f64 eps x))))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x)))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))) (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps (-.f64 eps x)) (*.f64 (*.f64 eps (-.f64 eps x)) (*.f64 eps (-.f64 eps x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 eps (-.f64 eps x)) (-.f64 (*.f64 eps (-.f64 eps x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 eps (*.f64 eps eps))) (*.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x))))) (-.f64 (*.f64 x x) (*.f64 eps (-.f64 eps x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 x))) #s(literal -1 binary64))) |
(tan.f64 x) |
(neg.f64 (neg.f64 (tan.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 #s(literal 1 binary64) (tan.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| 1× | egg-herbie |
| 14 592× | lower-fma.f64 |
| 14 592× | lower-fma.f32 |
| 5 316× | lower-*.f64 |
| 5 316× | lower-*.f32 |
| 2 664× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 157 | 1351 |
| 1 | 464 | 1285 |
| 2 | 1534 | 1274 |
| 3 | 5949 | 1242 |
| 0 | 8534 | 1195 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin eps) (cos eps)) |
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) |
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) |
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) |
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) |
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) |
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) |
(/ (sin eps) (cos eps)) |
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) |
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) |
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) |
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) |
(/ (sin x) (cos x)) |
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) |
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) |
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) |
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
| Outputs |
|---|
(/ (sin eps) (cos eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(fma.f64 x (fma.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(fma.f64 x (fma.f64 x (fma.f64 x (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps) |
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) |
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) |
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/ (sin eps) (cos eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) x)) |
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(fma.f64 x (fma.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 x (cos.f64 eps)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(fma.f64 x (fma.f64 x (fma.f64 x (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)) |
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) |
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) |
eps |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
x |
(* x (+ 1 (/ eps x))) |
(+.f64 eps x) |
(* x (+ 1 (/ eps x))) |
(+.f64 eps x) |
(* x (+ 1 (/ eps x))) |
(+.f64 eps x) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(+.f64 eps x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(+.f64 eps x) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(+.f64 eps x) |
x |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
(+ eps x) |
(+.f64 eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(+.f64 eps x) |
(* eps (+ 1 (/ x eps))) |
(+.f64 eps x) |
(* eps (+ 1 (/ x eps))) |
(+.f64 eps x) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(+.f64 eps x) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(+.f64 eps x) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(+.f64 eps x) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
Compiled 8 624 to 983 computations (88.6% saved)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 318 | 18 | 336 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 318 | 19 | 337 |
| Status | Accuracy | Program |
|---|---|---|
| 59.6% | (fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (tan.f64 x))) | |
| ▶ | 59.6% | (fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) (neg.f64 (tan.f64 x))) |
| 59.6% | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) | |
| 59.3% | (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) | |
| 99.3% | (fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) | |
| ▶ | 99.5% | (fma.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) |
| 99.0% | (fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps) | |
| 59.6% | (/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) | |
| ▶ | 59.4% | (/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
| 59.4% | (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) | |
| 98.2% | (/.f64 (sin.f64 eps) (cos.f64 eps)) | |
| 59.6% | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) | |
| 59.6% | (-.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))) | |
| 59.3% | (-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x)) | |
| 58.4% | (-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| ▶ | 58.3% | (-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)) |
| ▶ | 59.4% | (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
| ✓ | 59.4% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 22.6% | (-.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x)))) (tan.f64 x)) |
Compiled 905 to 434 computations (52% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (tan.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (tan.f64 x) (tan.f64 eps)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) (neg.f64 (tan.f64 x))) |
| ✓ | cost-diff | 0 | (sin.f64 (-.f64 (+.f64 x eps) x)) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) |
| ✓ | cost-diff | 384 | (-.f64 (+.f64 x eps) x) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 x) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 x eps) |
| ✓ | cost-diff | 0 | (tan.f64 (+.f64 x eps)) |
| ✓ | cost-diff | 0 | (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
| ✓ | cost-diff | 0 | (+.f64 x eps) |
| ✓ | cost-diff | 0 | (tan.f64 (+.f64 x eps)) |
| ✓ | cost-diff | 128 | (-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)) |
| ✓ | cost-diff | 0 | (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 5824 | (fma.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) |
| ✓ | cost-diff | 26816 | (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
| 13 972× | lower-fma.f32 |
| 13 956× | lower-fma.f64 |
| 4 312× | lower-*.f32 |
| 4 306× | lower-*.f64 |
| 2 520× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 627 |
| 0 | 102 | 623 |
| 1 | 185 | 553 |
| 2 | 445 | 545 |
| 3 | 1214 | 539 |
| 4 | 3859 | 539 |
| 5 | 7481 | 539 |
| 0 | 8133 | 531 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) |
eps |
(fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
x |
#s(literal 2 binary64) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (cos.f64 x) #s(literal 2 binary64)) |
(cos.f64 x) |
(+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
#s(literal 1/6 binary64) |
(fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) |
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)) |
(tan.f64 (+.f64 x eps)) |
(+.f64 x eps) |
x |
eps |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(tan.f64 (+.f64 x eps)) |
(+.f64 x eps) |
x |
eps |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(sin.f64 x) |
(cos.f64 x) |
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) |
(sin.f64 (-.f64 (+.f64 x eps) x)) |
(-.f64 (+.f64 x eps) x) |
(+.f64 x eps) |
x |
eps |
(cos.f64 (+.f64 x eps)) |
(cos.f64 x) |
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) (neg.f64 (tan.f64 x))) |
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) |
(+.f64 (tan.f64 x) (tan.f64 eps)) |
(tan.f64 x) |
x |
(tan.f64 eps) |
eps |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) |
(*.f64 (tan.f64 x) (tan.f64 eps)) |
#s(literal 2 binary64) |
(fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) |
(neg.f64 (tan.f64 x)) |
| Outputs |
|---|
(fma.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) |
(fma.f64 (/.f64 eps (cos.f64 x)) (fma.f64 eps (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x))) (fma.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))) (*.f64 eps (*.f64 eps eps)) eps)) |
eps |
(fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(fma.f64 eps (fma.f64 eps (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) |
(fma.f64 eps (+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) |
(+.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
(sin.f64 x) |
x |
#s(literal 2 binary64) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (cos.f64 x) #s(literal 2 binary64)) |
(cos.f64 x) |
(+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64)) |
#s(literal 1/6 binary64) |
(fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) |
(+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64)) (tan.f64 (+.f64 eps x))) |
(tan.f64 (+.f64 x eps)) |
(tan.f64 (+.f64 eps x)) |
(+.f64 x eps) |
(+.f64 eps x) |
x |
eps |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(tan.f64 (+.f64 x eps)) |
(tan.f64 (+.f64 eps x)) |
(+.f64 x eps) |
(+.f64 eps x) |
x |
eps |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(sin.f64 x) |
(cos.f64 x) |
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) |
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) |
(sin.f64 (-.f64 (+.f64 x eps) x)) |
(sin.f64 eps) |
(-.f64 (+.f64 x eps) x) |
eps |
(+.f64 x eps) |
(+.f64 eps x) |
x |
eps |
(cos.f64 (+.f64 x eps)) |
(cos.f64 (+.f64 eps x)) |
(cos.f64 x) |
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) (neg.f64 (tan.f64 x))) |
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (tan.f64 x)) |
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) |
(+.f64 (tan.f64 x) (tan.f64 eps)) |
(tan.f64 x) |
x |
(tan.f64 eps) |
eps |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) |
(*.f64 (tan.f64 x) (tan.f64 eps)) |
#s(literal 2 binary64) |
(fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) |
(neg.f64 (tan.f64 x)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (tan.f64 x) (tan.f64 eps)) |
| ✓ | accuracy | 100.0% | (+.f64 (tan.f64 x) (tan.f64 eps)) |
| ✓ | accuracy | 99.7% | (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) |
| ✓ | accuracy | 59.6% | (fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) (neg.f64 (tan.f64 x))) |
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
| ✓ | accuracy | 100.0% | (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) |
| ✓ | accuracy | 99.9% | (cos.f64 (+.f64 x eps)) |
| ✓ | accuracy | 59.4% | (-.f64 (+.f64 x eps) x) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (sin.f64 x) (cos.f64 x)) |
| ✓ | accuracy | 99.8% | (tan.f64 (+.f64 x eps)) |
| ✓ | accuracy | 59.6% | (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
| ✓ | accuracy | 99.8% | (tan.f64 (+.f64 x eps)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
| ✓ | accuracy | 59.9% | (-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)) |
| ✓ | accuracy | 100.0% | (pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
| ✓ | accuracy | 98.5% | (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
| 106.0ms | 145× | 0 | valid |
| 91.0ms | 102× | 1 | valid |
| 47.0ms | 3× | 4 | valid |
| 23.0ms | 6× | 2 | valid |
Compiled 653 to 61 computations (90.7% saved)
ival-tan: 49.0ms (21.2% of total)ival-div: 35.0ms (15.1% of total)ival-sin: 29.0ms (12.5% of total)ival-sub: 28.0ms (12.1% of total)ival-mult: 20.0ms (8.7% of total)ival-add: 19.0ms (8.2% of total)adjust: 16.0ms (6.9% of total)ival-pow: 11.0ms (4.8% of total)ival-pow2: 10.0ms (4.3% of total)const: 9.0ms (3.9% of total)ival-cos: 4.0ms (1.7% of total)ival-neg: 1.0ms (0.4% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))> |
#<alt (fma.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)> |
#<alt (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))> |
#<alt (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))> |
#<alt (-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x))> |
#<alt (tan.f64 (+.f64 x eps))> |
#<alt (+.f64 x eps)> |
#<alt (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)> |
#<alt (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x)))> |
#<alt (/.f64 (sin.f64 x) (cos.f64 x))> |
#<alt (/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))> |
#<alt (-.f64 (+.f64 x eps) x)> |
#<alt (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps)))> |
#<alt (sin.f64 (-.f64 (+.f64 x eps) x))> |
#<alt (fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) (neg.f64 (tan.f64 x)))> |
#<alt (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64))))> |
#<alt (+.f64 (tan.f64 x) (tan.f64 eps))> |
#<alt (tan.f64 x)> |
#<alt (pow.f64 (sin.f64 x) #s(literal 4 binary64))> |
#<alt (pow.f64 (sin.f64 x) #s(literal 3 binary64))> |
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 x x))> |
#<alt (cos.f64 x)> |
#<alt (cos.f64 (+.f64 x eps))> |
#<alt (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64))> |
#<alt (*.f64 (tan.f64 x) (tan.f64 eps))> |
| Outputs |
|---|
#<alt -1/2> |
#<alt (- (* -1/3 (pow x 2)) 1/2)> |
#<alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)> |
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)> |
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)> |
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)> |
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)> |
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)> |
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)> |
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)> |
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)> |
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)> |
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))> |
#<alt (* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (* (pow eps 3) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))> |
#<alt (* (pow eps 3) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))> |
#<alt (* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))> |
#<alt (* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))> |
#<alt (* (pow eps 3) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps)))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps)))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps)))))> |
#<alt (+ eps (* 1/3 (pow eps 3)))> |
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))> |
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))> |
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2)))))> |
#<alt (+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt -1/3> |
#<alt (- (* -1/3 (pow x 2)) 1/3)> |
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#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/3)> |
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#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3)> |
#<alt (/ (pow (sin x) 2) (pow (cos x) 2))> |
#<alt (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))> |
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))> |
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))> |
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))> |
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))> |
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))> |
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))> |
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))> |
#<alt (* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))> |
#<alt (* (pow eps 2) (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))> |
#<alt (* (pow eps 2) (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (+ (* 1/3 (pow eps 2)) (* eps x))> |
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))> |
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2))))))))> |
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))> |
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))> |
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))> |
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))> |
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))> |
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))> |
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))> |
#<alt (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))> |
#<alt (/ (sin eps) (cos eps))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))> |
#<alt (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))))> |
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#<alt (* -1/3 (pow x 3))> |
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#<alt (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (+ x (* 1/3 (pow x 3))))> |
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* 1/3 (pow x 3))))> |
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#<alt (/ (sin eps) (cos eps))> |
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#<alt (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))> |
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))> |
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))> |
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))> |
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#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))> |
#<alt (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))> |
#<alt (/ (sin x) (cos x))> |
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#<alt (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))> |
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))> |
#<alt (/ (sin (+ eps x)) (cos (+ eps x)))> |
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#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))> |
#<alt (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))> |
#<alt eps> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt x> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt (* x (+ 1 (/ eps x)))> |
#<alt x> |
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#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))> |
#<alt x> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt (+ eps x)> |
#<alt eps> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt (* eps (+ 1 (/ x eps)))> |
#<alt eps> |
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#<alt x> |
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#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
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#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))> |
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#<alt (+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))> |
#<alt (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x)))> |
#<alt (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
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#<alt (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
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#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x)))> |
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#<alt x> |
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#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
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#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))> |
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#<alt eps> |
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#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
#<alt (/ (sin eps) (cos (+ eps x)))> |
#<alt (/ (sin eps) (cos (+ eps x)))> |
#<alt (/ (sin eps) (cos (+ eps x)))> |
#<alt (/ (sin eps) (cos (+ eps x)))> |
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#<alt (/ eps (cos x))> |
#<alt (* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2))))> |
#<alt (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))> |
#<alt (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 2))) (* 1/6 (/ (sin x) (pow (cos x) 2))))))) (* 1/2 (/ 1 (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))> |
#<alt (/ (sin eps) (cos (+ eps x)))> |
#<alt (/ (sin eps) (cos (+ eps x)))> |
#<alt (/ (sin eps) (cos (+ eps x)))> |
#<alt (/ (sin eps) (cos (+ eps x)))> |
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#<alt (/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps))))> |
#<alt (/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps))))> |
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#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
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#<alt eps> |
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#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin (neg (* -1 eps)))> |
#<alt (sin (neg (* -1 eps)))> |
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#<alt (sin (neg (* -1 eps)))> |
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#<alt (- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))> |
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#<alt (- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))> |
#<alt (/ (sin eps) (cos eps))> |
#<alt (+ x (/ (sin eps) (cos eps)))> |
#<alt (+ (* x (+ 1 (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)))) (/ (sin eps) (cos eps)))> |
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#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))> |
#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))> |
#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))> |
#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))> |
#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))> |
#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))> |
#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))> |
#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))> |
#<alt (/ (sin x) (cos x))> |
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#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))> |
#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))> |
#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))> |
#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))> |
#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))> |
#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))> |
#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))> |
#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))))> |
#<alt (/ (sin eps) (cos eps))> |
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#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (/ (sin x) (cos x))> |
#<alt (+ eps (/ (sin x) (cos x)))> |
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))> |
#<alt (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (/ (sin x) (cos x))> |
#<alt (pow x 4)> |
#<alt (* (pow x 4) (+ 1 (* -2/3 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3))))> |
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))))> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow x 3)> |
#<alt (* (pow x 3) (+ 1 (* -1/2 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))> |
#<alt (* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))> |
#<alt (pow (sin x) 3)> |
#<alt (pow (sin x) 3)> |
#<alt (pow (sin x) 3)> |
#<alt (pow (sin x) 3)> |
#<alt (pow (sin x) 3)> |
#<alt (pow (sin x) 3)> |
#<alt (pow (sin x) 3)> |
#<alt (pow (sin x) 3)> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos eps)> |
#<alt (+ (cos eps) (* -1 (* x (sin eps))))> |
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))> |
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos x)> |
#<alt (+ (cos x) (* -1 (* eps (sin x))))> |
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))> |
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))> |
#<alt (* (pow x 2) (+ (* 2/3 (/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))> |
#<alt (* (pow x 2) (+ (* (pow x 2) (+ (* 17/45 (/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))) (* 2/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))> |
#<alt (* (pow x 2) (+ (* (pow x 2) (+ (* 2/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* (pow x 2) (+ (* 62/315 (/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))) (* 17/45 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))> |
#<alt (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))> |
#<alt (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))> |
#<alt (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))> |
#<alt (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))> |
#<alt (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))> |
#<alt (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))> |
#<alt (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))> |
#<alt (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))> |
#<alt (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))> |
#<alt (* (pow eps 2) (+ (* 2/3 (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2))))> |
#<alt (* (pow eps 2) (+ (* (pow eps 2) (+ (* 17/45 (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))) (* 2/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2))))> |
#<alt (* (pow eps 2) (+ (* (pow eps 2) (+ (* 2/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* (pow eps 2) (+ (* 62/315 (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))) (* 17/45 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (pow (sin x) 2) (pow (cos x) 2))))> |
#<alt (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))> |
#<alt (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))> |
#<alt (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))> |
#<alt (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))> |
#<alt (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))> |
#<alt (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))> |
#<alt (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))> |
#<alt (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2)))> |
#<alt (/ (* x (sin eps)) (cos eps))> |
#<alt (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))> |
#<alt (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))> |
#<alt (* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))> |
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))> |
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))> |
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))> |
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))> |
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))> |
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))> |
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))> |
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))> |
#<alt (/ (* eps (sin x)) (cos x))> |
#<alt (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))> |
#<alt (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))> |
#<alt (* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))> |
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))> |
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))> |
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))> |
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))> |
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))> |
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))> |
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))> |
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))> |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | x | @ | inf | (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)) |
| 10.0ms | x | @ | -inf | (+ (* (/ (+ (tan x) (tan eps)) (- 1 (pow (* (tan x) (tan eps)) 2))) (+ (* (tan x) (tan eps)) 1)) (neg (tan x))) |
| 7.0ms | x | @ | inf | (+ (* eps (+ (* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) |
| 4.0ms | x | @ | -inf | (+ (* eps (+ (* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) |
| 3.0ms | x | @ | inf | (+ (* (/ (+ (tan x) (tan eps)) (- 1 (pow (* (tan x) (tan eps)) 2))) (+ (* (tan x) (tan eps)) 1)) (neg (tan x))) |
| 1× | batch-egg-rewrite |
| 5 186× | lower-fma.f32 |
| 5 170× | lower-fma.f64 |
| 5 004× | lower-*.f32 |
| 4 998× | lower-*.f64 |
| 2 436× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 354 |
| 0 | 102 | 341 |
| 1 | 486 | 259 |
| 2 | 4670 | 255 |
| 0 | 8176 | 247 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) |
(+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)) |
(tan.f64 (+.f64 x eps)) |
(+.f64 x eps) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) |
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(-.f64 (+.f64 x eps) x) |
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) |
(sin.f64 (-.f64 (+.f64 x eps) x)) |
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) (neg.f64 (tan.f64 x))) |
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) |
(+.f64 (tan.f64 x) (tan.f64 eps)) |
(tan.f64 x) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(cos.f64 x) |
(cos.f64 (+.f64 x eps)) |
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) |
(*.f64 (tan.f64 x) (tan.f64 eps)) |
| Outputs |
|---|
(+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64))) |
(+.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) |
(+.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (tan.f64 x) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) |
(fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) |
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) |
(fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) |
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(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (sin.f64 x)))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (sin.f64 x)))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)) #s(literal 4 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (sin.f64 x))) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (exp.f64 (log.f64 (sin.f64 x))) (sin.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sin.f64 x) (exp.f64 (log.f64 (sin.f64 x)))) #s(literal 2 binary64)) |
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (sin.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) #s(literal 4 binary64))) |
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (sin.f64 x)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (sin.f64 x))) #s(literal 3 binary64)) |
(*.f64 (sin.f64 x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (exp.f64 (log.f64 (sin.f64 x))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (log.f64 (sin.f64 x))) #s(literal 3/2 binary64))) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 (*.f64 x #s(literal 1/3 binary64)) x) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x))) |
(cos.f64 x) |
(cos.f64 (neg.f64 x)) |
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x))) |
(pow.f64 (cos.f64 x) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (*.f64 (sin.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))))) |
(cos.f64 (+.f64 x eps)) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(fma.f64 (cos.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))) (*.f64 (sin.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (cos.f64 (-.f64 x eps))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 eps)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (tan.f64 eps) (neg.f64 (tan.f64 x))) #s(literal 2 binary64)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 eps)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (tan.f64 eps) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) (*.f64 (tan.f64 x) (tan.f64 eps)))) |
(*.f64 (tan.f64 x) (pow.f64 (*.f64 (tan.f64 eps) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) |
(*.f64 (tan.f64 eps) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 eps)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))) |
(*.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (pow.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 1 binary64)) (pow.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) (exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))))) |
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) (tan.f64 eps)) |
(*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 eps)) (tan.f64 x)) |
(*.f64 (pow.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(*.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 eps) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (tan.f64 eps)) #s(literal 1 binary64)) (tan.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (tan.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 eps)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (cos.f64 eps))) |
(/.f64 (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 eps))) |
(/.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (cos.f64 eps) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) |
(/.f64 (*.f64 (sin.f64 eps) (sin.f64 (neg.f64 x))) (*.f64 (cos.f64 eps) (neg.f64 (cos.f64 x)))) |
(/.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (cos.f64 x)) |
(/.f64 (*.f64 (tan.f64 eps) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
(/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps)) |
(/.f64 (*.f64 (tan.f64 eps) (sin.f64 (neg.f64 x))) (neg.f64 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (tan.f64 eps)) (cos.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) |
(/.f64 (*.f64 (sin.f64 (neg.f64 x)) (tan.f64 eps)) (neg.f64 (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 eps) (tan.f64 x)) (cos.f64 eps)) |
(pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 eps))) |
(*.f64 (sin.f64 x) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 eps)) #s(literal 1 binary64))) |
(*.f64 (tan.f64 x) (tan.f64 eps)) |
(*.f64 (tan.f64 x) (pow.f64 (tan.f64 eps) #s(literal 1 binary64))) |
(*.f64 (tan.f64 x) (*.f64 (tan.f64 eps) #s(literal 1 binary64))) |
(*.f64 (tan.f64 x) (pow.f64 (*.f64 (tan.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (tan.f64 x) (pow.f64 (pow.f64 (tan.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (tan.f64 eps) (tan.f64 x)) |
(*.f64 (tan.f64 eps) (*.f64 (tan.f64 x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) |
(*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 1 binary64)) (tan.f64 x)) |
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 1 binary64)) (pow.f64 (*.f64 (tan.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (tan.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (tan.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (tan.f64 eps) (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 9 598× | lower-fma.f64 |
| 9 598× | lower-fma.f32 |
| 6 556× | lower-*.f64 |
| 6 556× | lower-*.f32 |
| 4 402× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 725 | 9557 |
| 1 | 2351 | 9360 |
| 2 | 7946 | 9258 |
| 0 | 8104 | 8905 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* -1/3 (pow x 2)) 1/2) |
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2) |
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(* (pow eps 3) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(* (pow eps 3) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(* (pow eps 3) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps))))) |
(+ eps (* 1/3 (pow eps 3))) |
(+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x))) |
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))) |
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2))))) |
(+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(+ eps (* eps (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
-1/3 |
(- (* -1/3 (pow x 2)) 1/3) |
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/3) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/3) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/3) |
(/ (pow (sin x) 2) (pow (cos x) 2)) |
(+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))) |
(* (pow eps 2) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(* (pow eps 2) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(* (pow eps 2) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(* (pow eps 2) (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(* (pow eps 2) (- (+ 1/3 (+ (* -1 (/ (+ (* -1 (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (* -1 (/ (pow (sin x) 2) (* eps (pow (cos x) 2))))) eps)) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(* 1/3 (pow eps 2)) |
(+ (* 1/3 (pow eps 2)) (* eps x)) |
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))) |
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))) |
(+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))) |
(+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))) |
(/ (sin eps) (cos eps)) |
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) |
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(* -1/3 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (/ (sin (+ eps x)) (* (pow x 3) (cos (+ eps x)))) (+ 1/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (/ (sin (+ eps x)) (* (pow x 3) (cos (+ eps x)))) (+ 1/3 (/ 1 (pow x 2))))) |
(* -1/3 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (+ 1/3 (+ (* -1 (/ (sin (- eps (* -1 x))) (* (pow x 3) (cos (- eps (* -1 x)))))) (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/3 (+ (* -1 (/ (sin (- eps (* -1 x))) (* (pow x 3) (cos (- eps (* -1 x)))))) (/ 1 (pow x 2)))))) |
(- (/ (sin x) (cos x)) (+ x (* 1/3 (pow x 3)))) |
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (+ x (* 1/3 (pow x 3)))) |
(- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (+ x (* 1/3 (pow x 3)))) |
(- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (+ x (* 1/3 (pow x 3)))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* 1/3 (pow x 3)))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* 1/3 (pow x 3)))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* 1/3 (pow x 3)))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* 1/3 (pow x 3)))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* 1/3 (pow x 3)))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* 1/3 (pow x 3)))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* 1/3 (pow x 3)))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* 1/3 (pow x 3)))) |
(/ (sin eps) (cos eps)) |
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) |
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) |
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) |
(/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) |
(/ (sin x) (cos x)) |
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/ (sin (+ eps x)) (cos (+ eps x))) |
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) |
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) |
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) |
(/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) |
eps |
(+ eps x) |
(+ eps x) |
(+ eps x) |
x |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
(* x (+ 1 (/ eps x))) |
x |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
(* -1 (* x (- (* -1 (/ eps x)) 1))) |
x |
(+ eps x) |
(+ eps x) |
(+ eps x) |
eps |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
(* eps (+ 1 (/ x eps))) |
eps |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
(* -1 (* eps (- (* -1 (/ x eps)) 1))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2)))) |
(/ (sin eps) (cos eps)) |
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) |
(+ (* x (- (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(+ (* x (- (* x (- (* -1 (* x (+ 1/2 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) |
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) |
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) |
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) |
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
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(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin eps) (cos eps)) |
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x))))) |
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x))))) |
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x))))) |
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x))))) |
(/ eps (pow (cos x) 2)) |
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) |
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps))))) |
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps))))) |
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps))))) |
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps))))) |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
(/ (sin eps) (cos eps)) |
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(/ (sin eps) (cos (+ eps x))) |
(/ (sin eps) (cos (+ eps x))) |
(/ (sin eps) (cos (+ eps x))) |
(/ (sin eps) (cos (+ eps x))) |
(/ (sin eps) (cos (- eps (* -1 x)))) |
(/ (sin eps) (cos (- eps (* -1 x)))) |
(/ (sin eps) (cos (- eps (* -1 x)))) |
(/ (sin eps) (cos (- eps (* -1 x)))) |
(/ eps (cos x)) |
(* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2)))) |
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x)))) |
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 2))) (* 1/6 (/ (sin x) (pow (cos x) 2))))))) (* 1/2 (/ 1 (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x)))) |
(/ (sin eps) (cos (+ eps x))) |
(/ (sin eps) (cos (+ eps x))) |
(/ (sin eps) (cos (+ eps x))) |
(/ (sin eps) (cos (+ eps x))) |
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps)))) |
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps)))) |
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps)))) |
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps)))) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin (neg (* -1 eps))) |
(sin (neg (* -1 eps))) |
(sin (neg (* -1 eps))) |
(sin (neg (* -1 eps))) |
(/ (sin eps) (cos eps)) |
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) |
(+ (* x (+ (* x (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) |
(+ (* x (+ (* x (- (+ (* x (- (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (* (pow (sin eps) 2) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(* eps (+ 1 (+ (* eps (- (/ (sin x) (cos x)) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(* eps (+ 1 (+ (* eps (- (+ (* eps (- (+ 1/3 (* 1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(* eps (+ 1 (+ (* eps (- (+ (* eps (- (+ 1/3 (+ (* 1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (- (* 2/3 (/ (sin x) (cos x))) (+ (* -1 (/ (* (pow (sin x) 2) (- (/ (sin x) (cos x)) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2))) (* -2/3 (/ (pow (sin x) 3) (pow (cos x) 3)))))))) (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(/ (sin eps) (cos eps)) |
(+ x (/ (sin eps) (cos eps))) |
(+ (* x (+ 1 (/ (* x (pow (sin eps) 3)) (pow (cos eps) 3)))) (/ (sin eps) (cos eps))) |
(+ (* x (+ 1 (* x (- (* x (- 1/3 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))))) (/ (sin eps) (cos eps))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) |
(/ (sin x) (cos x)) |
(+ eps (/ (sin x) (cos x))) |
(+ (* eps (+ 1 (/ (* eps (pow (sin x) 3)) (pow (cos x) 3)))) (/ (sin x) (cos x))) |
(+ (* eps (+ 1 (* eps (- (* eps (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (/ (sin x) (cos x))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) |
(/ (sin eps) (cos eps)) |
(+ x (/ (sin eps) (cos eps))) |
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps))) |
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(/ (sin x) (cos x)) |
(+ eps (/ (sin x) (cos x))) |
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x))) |
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(/ (sin x) (cos x)) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -2/3 (pow x 2)))) |
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3)))) |
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3)))) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow x 3) |
(* (pow x 3) (+ 1 (* -1/2 (pow x 2)))) |
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2)))) |
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2)))) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos eps) |
(+ (cos eps) (* -1 (* x (sin eps)))) |
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) |
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos x) |
(+ (cos x) (* -1 (* eps (sin x)))) |
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) |
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
(/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2)) |
(* (pow x 2) (+ (* 2/3 (/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) |
(* (pow x 2) (+ (* (pow x 2) (+ (* 17/45 (/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))) (* 2/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) |
(* (pow x 2) (+ (* (pow x 2) (+ (* 2/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* (pow x 2) (+ (* 62/315 (/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))) (* 17/45 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2)) |
(* (pow eps 2) (+ (* 2/3 (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(* (pow eps 2) (+ (* (pow eps 2) (+ (* 17/45 (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))) (* 2/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(* (pow eps 2) (+ (* (pow eps 2) (+ (* 2/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* (pow eps 2) (+ (* 62/315 (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))) (* 17/45 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/ (* x (sin eps)) (cos eps)) |
(* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))) |
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) |
(* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/ (* eps (sin x)) (cos x)) |
(* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))) |
(* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))) |
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x)))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* -1/3 (pow x 2)) 1/2) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/9 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -17/135 binary64)) #s(literal -2/9 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) |
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(fma.f64 eps (fma.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) |
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) |
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) |
(* (pow eps 3) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (*.f64 eps (*.f64 eps eps))) |
(* (pow eps 3) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps)) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))) |
(* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))) |
(* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps)) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))) |
(* (pow eps 3) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (*.f64 eps (*.f64 eps eps))) |
(* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps))))) |
(neg.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) eps)))) |
(* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps))))) |
(*.f64 (-.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps)))) |
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(* (pow eps 2) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) |
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(* 1/3 (pow eps 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) |
(+ (* 1/3 (pow eps 2)) (* eps x)) |
(fma.f64 x eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) |
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))) |
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(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow eps 2)))))))) |
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(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) |
(* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(+.f64 eps (*.f64 eps (fma.f64 eps (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
(* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(+.f64 eps (*.f64 eps (fma.f64 eps (fma.f64 eps (+.f64 #s(literal -1/6 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
(* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(+.f64 eps (*.f64 eps (fma.f64 eps (fma.f64 (sin.f64 x) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 x)) (*.f64 eps (-.f64 (fma.f64 (neg.f64 eps) (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) #s(literal -1/3 binary64))) #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (+ eps x)) (cos (+ eps x))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin x) (cos x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (/.f64 (sin.f64 x) (cos.f64 x))) |
x |
(* x (+ 1 (* 1/3 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x) x) |
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2)))))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) x) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(/ (sin eps) (cos eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(fma.f64 x (fma.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(fma.f64 x (fma.f64 x (neg.f64 (fma.f64 x (fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 2/3 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (cos.f64 eps))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (-.f64 (/.f64 (sin.f64 (neg.f64 eps)) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/ eps (pow (cos x) 2)) |
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) |
(fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (fma.f64 (neg.f64 eps) (-.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
eps |
(/ (sin eps) (cos eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(fma.f64 x (fma.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/2 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(fma.f64 x (fma.f64 x (+.f64 (fma.f64 (neg.f64 x) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/ (sin eps) (cos (+ eps x))) |
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) |
(/ (sin eps) (cos (+ eps x))) |
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) |
(/ (sin eps) (cos (+ eps x))) |
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) |
(/ (sin eps) (cos (+ eps x))) |
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) |
(/ (sin eps) (cos (- eps (* -1 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) |
(/ (sin eps) (cos (- eps (* -1 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) |
(/ (sin eps) (cos (- eps (* -1 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) |
(/ (sin eps) (cos (- eps (* -1 x)))) |
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) |
(/ eps (cos x)) |
(/.f64 eps (cos.f64 x)) |
(* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2)))) |
(fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 eps (cos.f64 x))) |
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x)))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x))) |
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 2))) (* 1/6 (/ (sin x) (pow (cos x) 2))))))) (* 1/2 (/ 1 (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x)))) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (fma.f64 (neg.f64 eps) (-.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x))) |
(/ (sin eps) (cos (+ eps x))) |
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) |
(/ (sin eps) (cos (+ eps x))) |
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) |
(/ (sin eps) (cos (+ eps x))) |
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) |
(/ (sin eps) (cos (+ eps x))) |
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) |
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) |
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) |
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) |
(/ (sin (neg (* -1 eps))) (cos (- x (* -1 eps)))) |
(/.f64 (sin.f64 eps) (cos.f64 (+.f64 x eps))) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(fma.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/6 binary64))) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin (neg (* -1 eps))) |
(sin.f64 eps) |
(sin (neg (* -1 eps))) |
(sin.f64 eps) |
(sin (neg (* -1 eps))) |
(sin.f64 eps) |
(sin (neg (* -1 eps))) |
(sin.f64 eps) |
(/ (sin eps) (cos eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ (* x (+ (* x (- (/ (sin eps) (cos eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) |
(fma.f64 x (fma.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ (* x (+ (* x (- (+ (* x (- (* 1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (* (pow (sin eps) 2) (+ 1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) |
(fma.f64 x (fma.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) |
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(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) |
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps) |
(* eps (+ 1 (+ (* eps (- (/ (sin x) (cos x)) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(fma.f64 eps (fma.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) |
(* eps (+ 1 (+ (* eps (- (+ (* eps (- (+ 1/3 (* 1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(fma.f64 eps (fma.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 eps (fma.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) |
(* eps (+ 1 (+ (* eps (- (+ (* eps (- (+ 1/3 (+ (* 1/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* eps (- (* 2/3 (/ (sin x) (cos x))) (+ (* -1 (/ (* (pow (sin x) 2) (- (/ (sin x) (cos x)) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (pow (cos x) 2))) (* -2/3 (/ (pow (sin x) 3) (pow (cos x) 3)))))))) (* -1 (/ (* (pow (sin x) 2) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (pow (cos x) 2))))) (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(fma.f64 eps (fma.f64 eps (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) (fma.f64 eps (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 eps (-.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (sin.f64 x)) (cos.f64 x)) (-.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal -2/3 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) |
(- (/ (* (+ 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) (- 1 (/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(fma.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 x))) |
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(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (* -2/3 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal -2/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -34/945 binary64) #s(literal 1/5 binary64)) #s(literal -2/3 binary64)) #s(literal 1 binary64))) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* (pow x 3) (+ 1 (* -1/2 (pow x 2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 13/120 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -41/3024 binary64) #s(literal 13/120 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
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(* 1/3 (pow x 2)) |
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(* 1/3 (pow x 2)) |
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(* 1/3 (pow x 2)) |
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(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos eps) |
(cos.f64 eps) |
(+ (cos eps) (* -1 (* x (sin eps)))) |
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) |
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) |
(fma.f64 x (-.f64 (*.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) x)) (sin.f64 eps)) (cos.f64 eps)) |
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) |
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/6 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) (sin.f64 (neg.f64 eps))) (cos.f64 eps)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 x eps)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 x eps)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 x eps)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 x eps)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 x eps)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 x eps)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 x eps)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 x eps)) |
(cos x) |
(cos.f64 x) |
(+ (cos x) (* -1 (* eps (sin x)))) |
(-.f64 (cos.f64 x) (*.f64 (sin.f64 x) eps)) |
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) |
(fma.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) eps)) (sin.f64 x)) (cos.f64 x)) |
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) |
(fma.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (cos.f64 x)))) (sin.f64 x)) (cos.f64 x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 x eps)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 x eps)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 x eps)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 x eps)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 x eps)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 x eps)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 x eps)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 x eps)) |
(/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2)) |
(/.f64 (*.f64 x (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) |
(* (pow x 2) (+ (* 2/3 (/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) |
(* (pow x 2) (+ (* (pow x 2) (+ (* 17/45 (/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))) (* 2/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 #s(literal 17/45 binary64) (*.f64 x x)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) |
(* (pow x 2) (+ (* (pow x 2) (+ (* 2/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* (pow x 2) (+ (* 62/315 (/ (* (pow x 2) (pow (sin eps) 2)) (pow (cos eps) 2))) (* 17/45 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 17/45 binary64) (/.f64 (*.f64 #s(literal 62/315 binary64) (*.f64 x (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) |
(/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 eps eps)) |
(* (pow eps 2) (+ (* 2/3 (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(*.f64 (*.f64 eps eps) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
(* (pow eps 2) (+ (* (pow eps 2) (+ (* 17/45 (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))) (* 2/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 17/45 binary64) (*.f64 eps eps)) (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
(* (pow eps 2) (+ (* (pow eps 2) (+ (* 2/3 (/ (pow (sin x) 2) (pow (cos x) 2))) (* (pow eps 2) (+ (* 62/315 (/ (* (pow eps 2) (pow (sin x) 2)) (pow (cos x) 2))) (* 17/45 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (/ (pow (sin x) 2) (pow (cos x) 2)))) |
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 17/45 binary64) (/.f64 (*.f64 (*.f64 #s(literal 62/315 binary64) (*.f64 eps eps)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) |
(/ (* (pow (sin eps) 2) (pow (sin x) 2)) (* (pow (cos eps) 2) (pow (cos x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) |
(/ (* x (sin eps)) (cos eps)) |
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps)) |
(* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 2/15 binary64) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 17/315 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 #s(literal 2/15 binary64) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 eps)) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/ (* eps (sin x)) (cos x)) |
(/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x)) |
(* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))) |
(*.f64 eps (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))) |
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 eps eps) #s(literal 2/15 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 x)) (cos.f64 x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x)))) |
(*.f64 eps (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2/15 binary64) (*.f64 (*.f64 #s(literal 17/315 binary64) (*.f64 eps eps)) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 x)) (cos.f64 x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x))) |
(/.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
Compiled 63 437 to 4 231 computations (93.3% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 557 | 15 | 1 572 |
| Fresh | 11 | 2 | 13 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 573 | 18 | 1 591 |
| Status | Accuracy | Program |
|---|---|---|
| 59.6% | (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) | |
| 59.6% | (fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (neg.f64 (tan.f64 x))) | |
| 98.1% | (fma.f64 x (*.f64 eps eps) (fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps)) | |
| 99.5% | (fma.f64 eps (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64))) (/.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (cos.f64 x))))) eps) | |
| ▶ | 98.5% | (fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
| 98.1% | (fma.f64 eps (fma.f64 x eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) | |
| 99.3% | (fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) | |
| 98.2% | (fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps) | |
| 99.5% | (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x))) (cos.f64 x)) | |
| ▶ | 99.8% | (/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
| 99.8% | (/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) | |
| 99.6% | (/.f64 (/.f64 (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/6 binary64))) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) | |
| ▶ | 99.9% | (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
| 99.0% | (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) | |
| 59.6% | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) | |
| ▶ | 59.1% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| ✓ | 59.4% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| ▶ | 6.0% | (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
Compiled 765 to 412 computations (46.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) |
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 eps eps)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) |
| ✓ | cost-diff | 0 | (fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
| ✓ | cost-diff | 320 | (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) |
| ✓ | cost-diff | 0 | (sin.f64 eps) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
| 11 134× | lower-fma.f32 |
| 11 120× | lower-fma.f64 |
| 4 406× | lower-*.f32 |
| 4 388× | lower-*.f64 |
| 1 992× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 306 |
| 0 | 80 | 294 |
| 1 | 164 | 294 |
| 2 | 398 | 290 |
| 3 | 994 | 290 |
| 4 | 2223 | 290 |
| 5 | 3203 | 290 |
| 6 | 4223 | 290 |
| 7 | 4911 | 290 |
| 8 | 5586 | 290 |
| 9 | 6530 | 290 |
| 10 | 6688 | 290 |
| 11 | 7989 | 290 |
| 0 | 8014 | 286 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(sin.f64 eps) |
eps |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) |
(cos.f64 x) |
x |
(cos.f64 (+.f64 x eps)) |
(+.f64 x eps) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
eps |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) |
x |
(fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) |
(fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) |
(*.f64 eps eps) |
#s(literal 4/3 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) |
#s(literal 1/3 binary64) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) |
(*.f64 eps (*.f64 eps eps)) |
eps |
(*.f64 eps eps) |
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(cos.f64 (+.f64 x eps)) |
(+.f64 x eps) |
x |
(cos.f64 x) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) |
(*.f64 (tan.f64 x) (tan.f64 eps)) |
(tan.f64 x) |
x |
(tan.f64 eps) |
eps |
(+.f64 (tan.f64 x) (tan.f64 eps)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(sin.f64 x) |
(cos.f64 x) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(sin.f64 eps) |
eps |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(cos.f64 x) |
x |
(cos.f64 (+.f64 x eps)) |
(cos.f64 (+.f64 eps x)) |
(+.f64 x eps) |
(+.f64 eps x) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
#s(literal -1/3 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (fma.f64 x x #s(literal 1 binary64)))) |
eps |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) |
(fma.f64 eps (fma.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) (*.f64 x x)) |
x |
(fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) |
(fma.f64 eps (fma.f64 eps (*.f64 x #s(literal 4/3 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) |
(fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) |
(*.f64 eps eps) |
#s(literal 4/3 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) |
(*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) |
(*.f64 eps (*.f64 eps eps)) |
eps |
(*.f64 eps eps) |
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(cos.f64 (+.f64 x eps)) |
(cos.f64 (+.f64 eps x)) |
(+.f64 x eps) |
(+.f64 eps x) |
x |
(cos.f64 x) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) |
(/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) |
(neg.f64 (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal -1 binary64)) (+.f64 (tan.f64 x) (tan.f64 eps)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) |
(fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64)) |
(*.f64 (tan.f64 x) (tan.f64 eps)) |
(tan.f64 x) |
x |
(tan.f64 eps) |
eps |
(+.f64 (tan.f64 x) (tan.f64 eps)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(sin.f64 x) |
(cos.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (tan.f64 x) (tan.f64 eps)) |
| ✓ | accuracy | 99.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) |
| ✓ | accuracy | 59.6% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
| ✓ | accuracy | 99.9% | (cos.f64 (+.f64 x eps)) |
| ✓ | accuracy | 99.8% | (*.f64 eps (*.f64 eps eps)) |
| ✓ | accuracy | 99.8% | (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) |
| ✓ | accuracy | 99.8% | (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) |
| ✓ | accuracy | 100.0% | (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
| ✓ | accuracy | 99.9% | (cos.f64 (+.f64 x eps)) |
| 76.0ms | 108× | 1 | valid |
| 63.0ms | 142× | 0 | valid |
| 24.0ms | 4× | 3 | valid |
| 2.0ms | 2× | 2 | valid |
Compiled 331 to 50 computations (84.9% saved)
ival-mult: 28.0ms (20.8% of total)ival-div: 23.0ms (17.1% of total)ival-tan: 22.0ms (16.3% of total)const: 21.0ms (15.6% of total)ival-add: 15.0ms (11.1% of total)adjust: 12.0ms (8.9% of total)ival-sin: 5.0ms (3.7% of total)ival-cos: 4.0ms (3% of total)ival-sub: 3.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))> |
#<alt (sin.f64 eps)> |
#<alt (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))> |
#<alt (cos.f64 x)> |
#<alt (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))> |
#<alt (fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)> |
#<alt (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps)> |
#<alt (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64))> |
#<alt (/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x))> |
#<alt (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps)))> |
#<alt (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps)> |
#<alt (*.f64 eps (*.f64 eps eps))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))))> |
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))> |
#<alt (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))> |
#<alt (cos.f64 (+.f64 x eps))> |
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))> |
#<alt (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))> |
#<alt (+.f64 (tan.f64 x) (tan.f64 eps))> |
| Outputs |
|---|
#<alt (/ eps (pow (cos x) 2))> |
#<alt (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))> |
#<alt (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))> |
#<alt (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))> |
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))> |
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))> |
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))> |
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))> |
#<alt (/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))> |
#<alt (/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))> |
#<alt (/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))> |
#<alt (/ (sin eps) (* (cos x) (cos (- x (* -1 eps)))))> |
#<alt (/ (sin eps) (cos eps))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))> |
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))> |
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))> |
#<alt (/ (sin eps) (* (cos x) (cos (+ eps x))))> |
#<alt (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))> |
#<alt (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))> |
#<alt (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))> |
#<alt (/ (sin eps) (* (cos x) (cos (- eps (* -1 x)))))> |
#<alt eps> |
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))> |
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))> |
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (cos eps)> |
#<alt (+ (cos eps) (* -1 (* x (sin eps))))> |
#<alt (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))> |
#<alt (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))> |
#<alt (* (cos x) (cos (+ eps x)))> |
#<alt (* (cos x) (cos (+ eps x)))> |
#<alt (* (cos x) (cos (+ eps x)))> |
#<alt (* (cos x) (cos (+ eps x)))> |
#<alt (* (cos x) (cos (- eps (* -1 x))))> |
#<alt (* (cos x) (cos (- eps (* -1 x))))> |
#<alt (* (cos x) (cos (- eps (* -1 x))))> |
#<alt (* (cos x) (cos (- eps (* -1 x))))> |
#<alt (pow (cos x) 2)> |
#<alt (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))> |
#<alt (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))> |
#<alt (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))> |
#<alt (* (cos x) (cos (+ eps x)))> |
#<alt (* (cos x) (cos (+ eps x)))> |
#<alt (* (cos x) (cos (+ eps x)))> |
#<alt (* (cos x) (cos (+ eps x)))> |
#<alt (* (cos x) (cos (- x (* -1 eps))))> |
#<alt (* (cos x) (cos (- x (* -1 eps))))> |
#<alt (* (cos x) (cos (- x (* -1 eps))))> |
#<alt (* (cos x) (cos (- x (* -1 eps))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (* -1/3 (pow x 3))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (+ (* 1/3 (pow eps 2)) (* eps x))> |
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))> |
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))> |
#<alt (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))> |
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))> |
#<alt (* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ eps x)))))> |
#<alt (* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ eps x)))))> |
#<alt (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))> |
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (+ (* -1 eps) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (+ (* -1 eps) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2)))))> |
#<alt (pow x 2)> |
#<alt (+ (* eps x) (pow x 2))> |
#<alt (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))> |
#<alt (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))> |
#<alt (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))> |
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))> |
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))> |
#<alt (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))> |
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2)))))> |
#<alt (* (pow eps 2) (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2)))))> |
#<alt (* eps (+ 1 (pow x 2)))> |
#<alt (* eps (+ 1 (+ (* eps x) (pow x 2))))> |
#<alt (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))))> |
#<alt (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))))> |
#<alt (* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))> |
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))> |
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))> |
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))> |
#<alt (* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ x eps)))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (* -1 (/ (- (* -1 (pow x 2)) 1) eps))) eps)))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (* -1 (/ (- (* -1 (pow x 2)) 1) eps))) eps)))))> |
#<alt (+ eps (* 1/3 (pow eps 3)))> |
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))> |
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))> |
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))> |
#<alt (* eps (* (pow x 2) (+ 1 (* 4/3 (pow eps 2)))))> |
#<alt (* (pow x 2) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (pow eps 2) x)))> |
#<alt (* (pow x 2) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (+ (/ eps (pow x 2)) (/ (pow eps 2) x)))))> |
#<alt (* (pow x 2) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (+ (/ eps (pow x 2)) (/ (pow eps 2) x)))))> |
#<alt (* eps (* (pow x 2) (+ 1 (* 4/3 (pow eps 2)))))> |
#<alt (* (pow x 2) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (pow eps 2) x)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)) (* -1 (pow eps 2))) x)) (* eps (+ 1 (* 4/3 (pow eps 2))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)) (* -1 (pow eps 2))) x)) (* eps (+ 1 (* 4/3 (pow eps 2))))))> |
#<alt eps> |
#<alt (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))> |
#<alt (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))> |
#<alt (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))> |
#<alt (* x (+ 1 (* 4/3 (pow eps 2))))> |
#<alt (* x (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))> |
#<alt (* x (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))> |
#<alt (* x (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))> |
#<alt (* x (+ 1 (* 4/3 (pow eps 2))))> |
#<alt (* -1 (* x (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x)))))> |
#<alt (* -1 (* x (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x)))))> |
#<alt (* -1 (* x (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x)))))> |
#<alt x> |
#<alt (+ eps x)> |
#<alt (+ x (* eps (+ 1 (* 4/3 (* eps x)))))> |
#<alt (+ x (* eps (+ 1 (* 4/3 (* eps x)))))> |
#<alt (* 4/3 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* 4/3 x) (/ 1 eps)))> |
#<alt (* (pow eps 2) (+ (* 4/3 x) (+ (/ 1 eps) (/ x (pow eps 2)))))> |
#<alt (* (pow eps 2) (+ (* 4/3 x) (+ (/ 1 eps) (/ x (pow eps 2)))))> |
#<alt (* 4/3 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* 4/3 x) (/ 1 eps)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ x eps)) 1) eps)) (* 4/3 x)))> |
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ x eps)) 1) eps)) (* 4/3 x)))> |
#<alt 1> |
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#<alt (+ 1 (* 4/3 (pow eps 2)))> |
#<alt (+ 1 (* 4/3 (pow eps 2)))> |
#<alt (* 4/3 (pow eps 2))> |
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#<alt (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))> |
#<alt (* 4/3 (pow eps 2))> |
#<alt (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))> |
#<alt (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))> |
#<alt (/ eps (pow (cos x) 2))> |
#<alt (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))> |
#<alt (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))> |
#<alt (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))> |
#<alt (* -1/5040 (/ (pow eps 7) (* (cos x) (cos (+ eps x)))))> |
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#<alt (* -1/5040 (/ (pow eps 7) (* (cos x) (cos (- x (* -1 eps))))))> |
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#<alt (* -1 (* (pow eps 7) (- (+ (/ 1/6 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps)))))) (* 1/5040 (/ 1 (* (cos x) (cos (- x (* -1 eps))))))) (/ 1/120 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))))))> |
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#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps))> |
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#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (+ eps x))))> |
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#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))> |
#<alt (/ eps (cos x))> |
#<alt (* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2))))> |
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#<alt (* -1/5040 (/ (pow eps 7) (cos (+ eps x))))> |
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#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (- eps (* -1 x))))> |
#<alt eps> |
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#<alt (* -1/5040 (pow eps 7))> |
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#<alt (* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (/ (sin eps) (cos eps))> |
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#<alt (+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))> |
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#<alt (/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))> |
#<alt (/ (sin x) (cos x))> |
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#<alt (/ (sin eps) (cos eps))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))> |
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#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))> |
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))> |
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))> |
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))> |
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))> |
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))> |
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))> |
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))> |
#<alt (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))> |
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))> |
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))> |
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))> |
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))> |
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))> |
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))> |
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))> |
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))> |
#<alt (/ (cos eps) (sin eps))> |
#<alt (+ (* -1 (* x (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (/ (cos eps) (sin eps)))> |
#<alt (+ (* x (- (/ (* x (* (cos eps) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (sin eps)) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (/ (cos eps) (sin eps)))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ 1/3 (+ (* 1/3 (/ (pow (cos eps) 2) (pow (sin eps) 2))) (/ (* (pow (cos eps) 2) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (pow (sin eps) 2)))))) (* -1 (/ (* (cos eps) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (sin eps))))) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (/ (cos eps) (sin eps)))> |
#<alt (/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))> |
#<alt (/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))> |
#<alt (/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))> |
#<alt (/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))> |
#<alt (/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))> |
#<alt (/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))> |
#<alt (/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))> |
#<alt (/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))> |
#<alt (/ (cos x) (sin x))> |
#<alt (+ (* -1 (* eps (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (/ (cos x) (sin x)))> |
#<alt (+ (* eps (- (/ (* eps (* (cos x) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (sin x)) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (/ (cos x) (sin x)))> |
#<alt (+ (* eps (- (* eps (- (* -1 (* eps (+ 1/3 (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (* (pow (cos x) 2) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2)))) (pow (sin x) 2)))))) (* -1 (/ (* (cos x) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2)))) (sin x))))) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (/ (cos x) (sin x)))> |
#<alt (/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))> |
#<alt (/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))> |
#<alt (/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))> |
#<alt (/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))> |
#<alt (/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))> |
#<alt (/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))> |
#<alt (/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))> |
#<alt (/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))> |
#<alt (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))> |
#<alt (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))> |
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))> |
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))> |
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))> |
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))> |
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))> |
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))> |
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))> |
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (* eps (sin x)) (cos x))))> |
#<alt (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))> |
#<alt (+ 1 (* eps (- (* (pow eps 2) (- (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))))> |
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))> |
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))> |
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))> |
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))> |
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))> |
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))> |
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))> |
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))> |
#<alt (cos eps)> |
#<alt (+ (cos eps) (* -1 (* x (sin eps))))> |
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))> |
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos x)> |
#<alt (+ (cos x) (* -1 (* eps (sin x))))> |
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))> |
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/120 eps)> |
#<alt (* eps (+ 1/120 (* -1/5040 (pow eps 2))))> |
#<alt (* eps (+ 1/120 (* -1/5040 (pow eps 2))))> |
#<alt (* eps (+ 1/120 (* -1/5040 (pow eps 2))))> |
#<alt (* -1/5040 (pow eps 3))> |
#<alt (* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))> |
#<alt (* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))> |
#<alt (* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))> |
#<alt (* -1/5040 (pow eps 3))> |
#<alt (* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))> |
#<alt (* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))> |
#<alt (* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))> |
#<alt (/ (sin eps) (cos eps))> |
#<alt (+ x (/ (sin eps) (cos eps)))> |
#<alt (+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))> |
#<alt (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (/ (sin x) (cos x))> |
#<alt (+ eps (/ (sin x) (cos x)))> |
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))> |
#<alt (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/ (/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (cos (+ x eps))) (cos x)) |
| 3.0ms | x | @ | inf | (- (/ 1 (/ (- 1 (* (tan x) (tan eps))) (+ (tan x) (tan eps)))) (/ (sin x) (cos x))) |
| 3.0ms | x | @ | -inf | (* -1/3 (* x (* x x))) |
| 2.0ms | x | @ | inf | (/ (/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (cos (+ x eps))) (cos x)) |
| 1.0ms | eps | @ | inf | (- (/ 1 (/ (- 1 (* (tan x) (tan eps))) (+ (tan x) (tan eps)))) (/ (sin x) (cos x))) |
| 1× | batch-egg-rewrite |
| 6 594× | lower-*.f32 |
| 6 576× | lower-*.f64 |
| 5 076× | lower-fma.f32 |
| 5 062× | lower-fma.f64 |
| 3 664× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 236 |
| 0 | 80 | 221 |
| 1 | 344 | 217 |
| 2 | 2915 | 217 |
| 0 | 9257 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(sin.f64 eps) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) |
(cos.f64 x) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) |
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) |
(fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) |
(*.f64 eps (*.f64 eps eps)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps))) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) |
(cos.f64 (+.f64 x eps)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) |
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(+.f64 (tan.f64 x) (tan.f64 eps)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 eps x)) (/.f64 (sin.f64 eps) (cos.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)))) |
(/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))) |
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (cos.f64 (+.f64 eps x)))) |
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (cos.f64 x)) |
(pow.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 eps x)) (/.f64 (sin.f64 eps) (cos.f64 x))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) |
(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 eps) (cos.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (sin.f64 eps)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 eps)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 eps)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) |
(*.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (-.f64 x (+.f64 eps x))))) #s(literal 2 binary64)) |
(sin.f64 eps) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (-.f64 x (+.f64 eps x)))))) |
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(/.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x) (*.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64))) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 x)))) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x) (*.f64 (neg.f64 (cos.f64 eps)) (*.f64 (sin.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x))) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (neg.f64 (sin.f64 x))))) (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (neg.f64 (cos.f64 x))))) |
(pow.f64 (/.f64 (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 x) (tan.f64 eps)))) |
| 1× | egg-herbie |
| 9 870× | lower-fma.f64 |
| 9 870× | lower-fma.f32 |
| 6 896× | lower-*.f64 |
| 6 896× | lower-*.f32 |
| 4 500× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 789 | 7883 |
| 1 | 2554 | 7656 |
| 0 | 8323 | 7276 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ eps (pow (cos x) 2)) |
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) |
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps))))) |
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps))))) |
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps))))) |
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps))))) |
(/ (sin eps) (cos eps)) |
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x))))) |
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x))))) |
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x))))) |
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x))))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(cos eps) |
(+ (cos eps) (* -1 (* x (sin eps)))) |
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps)))))) |
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps))))))))) |
(* (cos x) (cos (+ eps x))) |
(* (cos x) (cos (+ eps x))) |
(* (cos x) (cos (+ eps x))) |
(* (cos x) (cos (+ eps x))) |
(* (cos x) (cos (- eps (* -1 x)))) |
(* (cos x) (cos (- eps (* -1 x)))) |
(* (cos x) (cos (- eps (* -1 x)))) |
(* (cos x) (cos (- eps (* -1 x)))) |
(pow (cos x) 2) |
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2)) |
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2)) |
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2)) |
(* (cos x) (cos (+ eps x))) |
(* (cos x) (cos (+ eps x))) |
(* (cos x) (cos (+ eps x))) |
(* (cos x) (cos (+ eps x))) |
(* (cos x) (cos (- x (* -1 eps)))) |
(* (cos x) (cos (- x (* -1 eps)))) |
(* (cos x) (cos (- x (* -1 eps)))) |
(* (cos x) (cos (- x (* -1 eps)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(* -1/3 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/3 (pow eps 2)) |
(+ (* 1/3 (pow eps 2)) (* eps x)) |
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))) |
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))) |
(* (pow x 2) (+ 1 (* 4/3 (pow eps 2)))) |
(* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x)))) |
(* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ eps x))))) |
(* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ eps x))))) |
(* (pow x 2) (+ 1 (* 4/3 (pow eps 2)))) |
(* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ (* -1 eps) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ (* -1 eps) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2))))) |
(pow x 2) |
(+ (* eps x) (pow x 2)) |
(+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2)) |
(+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2)) |
(* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2)))) |
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps)))) |
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))) |
(* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2)))) |
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps)))) |
(* (pow eps 2) (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2))))) |
(* (pow eps 2) (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2))))) |
(* eps (+ 1 (pow x 2))) |
(* eps (+ 1 (+ (* eps x) (pow x 2)))) |
(* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2)))) |
(* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2)))) |
(* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2)))) |
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps)))) |
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))) |
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))) |
(* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2)))) |
(* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ x eps))))) |
(* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (* -1 (/ (- (* -1 (pow x 2)) 1) eps))) eps))))) |
(* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (* -1 (/ (- (* -1 (pow x 2)) 1) eps))) eps))))) |
(+ eps (* 1/3 (pow eps 3))) |
(+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x))) |
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))) |
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2))))) |
(* eps (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))) |
(* (pow x 2) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (pow eps 2) x))) |
(* (pow x 2) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (+ (/ eps (pow x 2)) (/ (pow eps 2) x))))) |
(* (pow x 2) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (+ (/ eps (pow x 2)) (/ (pow eps 2) x))))) |
(* eps (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))) |
(* (pow x 2) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (pow eps 2) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)) (* -1 (pow eps 2))) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)) (* -1 (pow eps 2))) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) |
eps |
(+ eps (* x (+ 1 (* 4/3 (pow eps 2))))) |
(+ eps (* x (+ 1 (* 4/3 (pow eps 2))))) |
(+ eps (* x (+ 1 (* 4/3 (pow eps 2))))) |
(* x (+ 1 (* 4/3 (pow eps 2)))) |
(* x (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x)))) |
(* x (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x)))) |
(* x (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x)))) |
(* x (+ 1 (* 4/3 (pow eps 2)))) |
(* -1 (* x (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x))))) |
(* -1 (* x (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x))))) |
(* -1 (* x (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x))))) |
x |
(+ eps x) |
(+ x (* eps (+ 1 (* 4/3 (* eps x))))) |
(+ x (* eps (+ 1 (* 4/3 (* eps x))))) |
(* 4/3 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 4/3 x) (/ 1 eps))) |
(* (pow eps 2) (+ (* 4/3 x) (+ (/ 1 eps) (/ x (pow eps 2))))) |
(* (pow eps 2) (+ (* 4/3 x) (+ (/ 1 eps) (/ x (pow eps 2))))) |
(* 4/3 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 4/3 x) (/ 1 eps))) |
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ x eps)) 1) eps)) (* 4/3 x))) |
(* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ x eps)) 1) eps)) (* 4/3 x))) |
1 |
(+ 1 (* 4/3 (pow eps 2))) |
(+ 1 (* 4/3 (pow eps 2))) |
(+ 1 (* 4/3 (pow eps 2))) |
(* 4/3 (pow eps 2)) |
(* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2)))) |
(* 4/3 (pow eps 2)) |
(* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2)))) |
(* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2)))) |
(/ eps (pow (cos x) 2)) |
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) |
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(* -1/5040 (/ (pow eps 7) (* (cos x) (cos (+ eps x))))) |
(* (pow eps 7) (- (* 1/120 (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x)))))) (* 1/5040 (/ 1 (* (cos x) (cos (+ eps x))))))) |
(* (pow eps 7) (- (/ 1/120 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (+ (/ 1/6 (* (pow eps 4) (* (cos x) (cos (+ eps x))))) (* 1/5040 (/ 1 (* (cos x) (cos (+ eps x)))))))) |
(* (pow eps 7) (- (+ (/ 1/120 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (/ 1 (* (pow eps 6) (* (cos x) (cos (+ eps x)))))) (+ (* 1/5040 (/ 1 (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (pow eps 4) (* (cos x) (cos (+ eps x))))))))) |
(* -1/5040 (/ (pow eps 7) (* (cos x) (cos (- x (* -1 eps)))))) |
(* -1 (* (pow eps 7) (- (* 1/5040 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (* 1/120 (/ 1 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))))))) |
(* -1 (* (pow eps 7) (- (+ (/ 1/6 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps)))))) (* 1/5040 (/ 1 (* (cos x) (cos (- x (* -1 eps))))))) (/ 1/120 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps))))))))) |
(* -1 (* (pow eps 7) (- (+ (* 1/5040 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (* 1/6 (/ 1 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps)))))))) (+ (/ 1/120 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 6) (* (cos x) (cos (- x (* -1 eps)))))))))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)) |
(+ (/ eps (cos eps)) (+ (/ (* x (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (pow (cos eps) 2)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps)))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps))))) (cos eps)) (/ (* (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (+ eps x)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (+ eps x)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (+ eps x)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (+ eps x)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (- eps (* -1 x))))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (- eps (* -1 x))))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (- eps (* -1 x))))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (- eps (* -1 x))))) |
(/ eps (cos x)) |
(* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2)))) |
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x)))) |
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 2))) (* 1/6 (/ (sin x) (pow (cos x) 2))))))) (* 1/2 (/ 1 (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x)))) |
(* -1/5040 (/ (pow eps 7) (cos (+ eps x)))) |
(* (pow eps 7) (- (* 1/120 (/ 1 (* (pow eps 2) (cos (+ eps x))))) (* 1/5040 (/ 1 (cos (+ eps x)))))) |
(* (pow eps 7) (- (/ 1/120 (* (pow eps 2) (cos (+ eps x)))) (+ (/ 1/6 (* (pow eps 4) (cos (+ eps x)))) (* 1/5040 (/ 1 (cos (+ eps x))))))) |
(* (pow eps 7) (- (+ (/ 1/120 (* (pow eps 2) (cos (+ eps x)))) (/ 1 (* (pow eps 6) (cos (+ eps x))))) (+ (* 1/5040 (/ 1 (cos (+ eps x)))) (* 1/6 (/ 1 (* (pow eps 4) (cos (+ eps x)))))))) |
(* -1/5040 (/ (pow eps 7) (cos (- x (* -1 eps))))) |
(* -1 (* (pow eps 7) (- (* 1/5040 (/ 1 (cos (- x (* -1 eps))))) (* 1/120 (/ 1 (* (pow eps 2) (cos (- x (* -1 eps))))))))) |
(* -1 (* (pow eps 7) (- (+ (/ 1/6 (* (pow eps 4) (cos (- x (* -1 eps))))) (* 1/5040 (/ 1 (cos (- x (* -1 eps)))))) (/ 1/120 (* (pow eps 2) (cos (- x (* -1 eps)))))))) |
(* -1 (* (pow eps 7) (- (+ (* 1/5040 (/ 1 (cos (- x (* -1 eps))))) (* 1/6 (/ 1 (* (pow eps 4) (cos (- x (* -1 eps))))))) (+ (/ 1/120 (* (pow eps 2) (cos (- x (* -1 eps))))) (/ 1 (* (pow eps 6) (cos (- x (* -1 eps))))))))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)) |
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(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (+ eps x))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (+ eps x))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (+ eps x))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (+ eps x))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (- eps (* -1 x)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (- eps (* -1 x)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (- eps (* -1 x)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (- eps (* -1 x)))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(* -1/5040 (pow eps 7)) |
(* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040)) |
(* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4))))) |
(* (pow eps 7) (- (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/5040 (/ 1/6 (pow eps 4))))) |
(* -1/5040 (pow eps 7)) |
(* -1 (* (pow eps 7) (- 1/5040 (* 1/120 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (* 1/120 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6)))))) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(/ (sin eps) (cos eps)) |
(+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(+ (* x (- (+ 1 (* x (- (* x (- 1/3 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
(/ (sin x) (cos x)) |
(+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(+ (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))) |
(/ (sin eps) (cos eps)) |
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x))) |
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(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x))) |
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x))) |
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x))) |
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x))) |
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x))) |
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) |
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x))) |
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x))) |
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x))) |
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x))) |
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x))) |
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x))) |
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x))) |
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x))) |
(/ (cos eps) (sin eps)) |
(+ (* -1 (* x (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (/ (cos eps) (sin eps))) |
(+ (* x (- (/ (* x (* (cos eps) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (sin eps)) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (/ (cos eps) (sin eps))) |
(+ (* x (- (* x (- (* -1 (* x (+ 1/3 (+ (* 1/3 (/ (pow (cos eps) 2) (pow (sin eps) 2))) (/ (* (pow (cos eps) 2) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (pow (sin eps) 2)))))) (* -1 (/ (* (cos eps) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2)))) (sin eps))))) (+ 1 (/ (pow (cos eps) 2) (pow (sin eps) 2))))) (/ (cos eps) (sin eps))) |
(/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) |
(/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) |
(/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) |
(/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) |
(/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) |
(/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) |
(/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) |
(/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) |
(/ (cos x) (sin x)) |
(+ (* -1 (* eps (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (/ (cos x) (sin x))) |
(+ (* eps (- (/ (* eps (* (cos x) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (sin x)) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (/ (cos x) (sin x))) |
(+ (* eps (- (* eps (- (* -1 (* eps (+ 1/3 (+ (* 1/3 (/ (pow (cos x) 2) (pow (sin x) 2))) (/ (* (pow (cos x) 2) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2)))) (pow (sin x) 2)))))) (* -1 (/ (* (cos x) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2)))) (sin x))))) (+ 1 (/ (pow (cos x) 2) (pow (sin x) 2))))) (/ (cos x) (sin x))) |
(/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) |
(/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) |
(/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) |
(/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) |
(/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) |
(/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) |
(/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) |
(/ (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))) |
1 |
(+ 1 (* -1 (/ (* x (sin eps)) (cos eps)))) |
(+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))) |
(+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))) |
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) |
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) |
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) |
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) |
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) |
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) |
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) |
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) |
1 |
(+ 1 (* -1 (/ (* eps (sin x)) (cos x)))) |
(+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))) |
(+ 1 (* eps (- (* (pow eps 2) (- (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))) |
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) |
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(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) |
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) |
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) |
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) |
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) |
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))) |
(cos eps) |
(+ (cos eps) (* -1 (* x (sin eps)))) |
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) |
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos x) |
(+ (cos x) (* -1 (* eps (sin x)))) |
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) |
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/120 eps) |
(* eps (+ 1/120 (* -1/5040 (pow eps 2)))) |
(* eps (+ 1/120 (* -1/5040 (pow eps 2)))) |
(* eps (+ 1/120 (* -1/5040 (pow eps 2)))) |
(* -1/5040 (pow eps 3)) |
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040)) |
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040)) |
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040)) |
(* -1/5040 (pow eps 3)) |
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2)))))) |
(/ (sin eps) (cos eps)) |
(+ x (/ (sin eps) (cos eps))) |
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps))) |
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(/ (sin x) (cos x)) |
(+ eps (/ (sin x) (cos x))) |
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x))) |
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
| Outputs |
|---|
(/ eps (pow (cos x) 2)) |
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) |
(fma.f64 eps (/.f64 (*.f64 eps (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(fma.f64 (fma.f64 eps (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 eps eps) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(fma.f64 (fma.f64 eps (fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (sin.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (cos.f64 x)))) (neg.f64 eps) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 eps eps) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/ (sin eps) (* (cos x) (cos (- x (* -1 eps))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/ (sin eps) (cos eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(fma.f64 x (fma.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(fma.f64 x (fma.f64 x (neg.f64 (fma.f64 x (fma.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 2/3 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (cos.f64 eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (-.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/ (sin eps) (* (cos x) (cos (+ eps x)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/ (sin eps) (* (cos x) (cos (- eps (* -1 x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(+ (cos eps) (* -1 (* x (sin eps)))) |
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) |
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps)))))) |
(fma.f64 x (neg.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps))) (cos.f64 eps)) |
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps))))))))) |
(fma.f64 x (fma.f64 x (-.f64 (*.f64 (*.f64 x (sin.f64 eps)) #s(literal 2/3 binary64)) (cos.f64 eps)) (neg.f64 (sin.f64 eps))) (cos.f64 eps)) |
(* (cos x) (cos (+ eps x))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (+ eps x))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (+ eps x))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (+ eps x))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (- eps (* -1 x)))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (- eps (* -1 x)))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (- eps (* -1 x)))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (- eps (* -1 x)))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(pow (cos x) 2) |
(pow.f64 (cos.f64 x) #s(literal 2 binary64)) |
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2)) |
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) |
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2)) |
(fma.f64 eps (fma.f64 eps (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2)) |
(fma.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(* (cos x) (cos (+ eps x))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (+ eps x))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (+ eps x))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (+ eps x))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (- x (* -1 eps)))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (- x (* -1 eps)))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (- x (* -1 eps)))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (- x (* -1 eps)))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 3)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/3 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) |
(+ (* 1/3 (pow eps 2)) (* eps x)) |
(fma.f64 eps x (*.f64 eps (*.f64 eps #s(literal 1/3 binary64)))) |
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 eps (*.f64 eps #s(literal 1/3 binary64)))) |
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2))))))) |
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 eps (*.f64 eps #s(literal 1/3 binary64)))) |
(* (pow x 2) (+ 1 (* 4/3 (pow eps 2)))) |
(*.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) x)) |
(* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x)))) |
(*.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) (/.f64 eps x)) x)) |
(* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ eps x))))) |
(*.f64 (*.f64 x x) (+.f64 (fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) (/.f64 eps x)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)))) |
(* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ eps x))))) |
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(* eps (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))) |
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(* (pow x 2) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (+ (/ eps (pow x 2)) (/ (pow eps 2) x))))) |
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eps |
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(* x (+ 1 (* 4/3 (pow eps 2)))) |
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(* x (+ 1 (* 4/3 (pow eps 2)))) |
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(* -1 (* x (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x))))) |
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(* -1 (* x (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x))))) |
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(* -1 (* x (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x))))) |
(fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) (/.f64 eps x)) x) |
x |
(+ eps x) |
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(+ x (* eps (+ 1 (* 4/3 (* eps x))))) |
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(* 4/3 (* (pow eps 2) x)) |
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(* (pow eps 2) (+ (* 4/3 x) (/ 1 eps))) |
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(* (pow eps 2) (+ (* 4/3 x) (+ (/ 1 eps) (/ x (pow eps 2))))) |
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(* 4/3 (* (pow eps 2) x)) |
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1 |
#s(literal 1 binary64) |
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(+ 1 (* 4/3 (pow eps 2))) |
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(* 4/3 (pow eps 2)) |
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(* 4/3 (pow eps 2)) |
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(/ eps (pow (cos x) 2)) |
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(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) |
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(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
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(* -1/5040 (/ (pow eps 7) (* (cos x) (cos (+ eps x))))) |
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(* (pow eps 7) (- (* 1/120 (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x)))))) (* 1/5040 (/ 1 (* (cos x) (cos (+ eps x))))))) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 eps x)) |
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(cos.f64 (+.f64 eps x)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos x) |
(cos.f64 x) |
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(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (neg.f64 (sin.f64 x))) (cos.f64 x)) |
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) (neg.f64 (sin.f64 x))) (cos.f64 x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(* 1/3 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) |
(* 1/3 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) |
(* 1/3 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) |
(* 1/3 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) |
(* 1/3 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) |
(* 1/3 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) |
(* 1/3 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) |
(* 1/3 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) |
(* 1/3 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) |
(* 1/3 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) |
(* 1/3 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) |
(* 1/3 (pow eps 2)) |
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) |
(* 1/120 eps) |
(*.f64 eps #s(literal 1/120 binary64)) |
(* eps (+ 1/120 (* -1/5040 (pow eps 2)))) |
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(* eps (+ 1/120 (* -1/5040 (pow eps 2)))) |
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(* eps (+ 1/120 (* -1/5040 (pow eps 2)))) |
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(* -1/5040 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/5040 binary64))) |
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040)) |
(*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 eps eps))))) |
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040)) |
(*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 eps eps))))) |
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040)) |
(*.f64 (*.f64 eps eps) (*.f64 eps (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 eps eps))))) |
(* -1/5040 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/5040 binary64))) |
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2)))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps (neg.f64 eps)) eps)) |
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2)))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps (neg.f64 eps)) eps)) |
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2)))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps (neg.f64 eps)) eps)) |
(/ (sin eps) (cos eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+ x (/ (sin eps) (cos eps))) |
(+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps))) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps))) |
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/ (sin x) (cos x)) |
(/.f64 (sin.f64 x) (cos.f64 x)) |
(+ eps (/ (sin x) (cos x))) |
(+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x))) |
(fma.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x))) |
(fma.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) |
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
Compiled 36 669 to 3 142 computations (91.4% saved)
30 alts after pruning (29 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 138 | 26 | 1 164 |
| Fresh | 9 | 3 | 12 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 152 | 30 | 1 182 |
| Status | Accuracy | Program |
|---|---|---|
| 59.1% | (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) | |
| 59.6% | (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) | |
| 98.1% | (fma.f64 x (*.f64 eps eps) (fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps)) | |
| ▶ | 98.1% | (fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
| 98.1% | (fma.f64 eps (fma.f64 x eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) | |
| 98.5% | (fma.f64 eps (*.f64 x (+.f64 eps x)) eps) | |
| ▶ | 98.5% | (fma.f64 eps (*.f64 x x) eps) |
| 98.1% | (fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))) eps) | |
| 98.2% | (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) eps) | |
| 99.8% | (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) | |
| 33.5% | (/.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (*.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64)) (-.f64 (tan.f64 x) (tan.f64 eps))) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64)) (-.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) | |
| 99.9% | (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) | |
| 98.2% | (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) (cos.f64 eps)) | |
| ▶ | 99.7% | (/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
| 99.8% | (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) | |
| 100.0% | (/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))) (cos.f64 x)) | |
| 99.6% | (/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (neg.f64 (sin.f64 x))) (cos.f64 x))) (cos.f64 x)) | |
| ▶ | 99.4% | (/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x)) |
| 98.5% | (/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 98.5% | (/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 98.0% | (/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)) | |
| 99.8% | (/.f64 (*.f64 (fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) eps) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (cos.f64 x)) | |
| ▶ | 100.0% | (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))) |
| 99.0% | (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) eps))) | |
| 59.6% | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) (tan.f64 x)) | |
| ✓ | 59.4% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 99.8% | (*.f64 (/.f64 (fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) eps) (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (-.f64 x (+.f64 eps x))))) #s(literal 2 binary64)) | |
| 98.5% | (*.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps) | |
| 6.4% | (*.f64 (*.f64 x x) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps)) |
Compiled 1 361 to 760 computations (44.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 eps (*.f64 eps eps)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 eps eps) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) |
| ✓ | cost-diff | 0 | (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) |
| ✓ | cost-diff | 0 | (fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
| ✓ | cost-diff | 640 | (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 eps (*.f64 x x) eps) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))) |
| ✓ | cost-diff | 0 | (sin.f64 eps) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))) |
| 11 804× | lower-fma.f32 |
| 11 786× | lower-fma.f64 |
| 3 388× | lower-*.f32 |
| 3 366× | lower-*.f64 |
| 2 306× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 307 |
| 0 | 80 | 299 |
| 1 | 173 | 297 |
| 2 | 399 | 297 |
| 3 | 886 | 297 |
| 4 | 1835 | 293 |
| 5 | 2420 | 293 |
| 6 | 3021 | 293 |
| 7 | 5161 | 293 |
| 0 | 8149 | 287 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))) |
(sin.f64 eps) |
eps |
(*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))) |
(cos.f64 x) |
x |
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) |
(cos.f64 eps) |
(*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) |
(neg.f64 (sin.f64 x)) |
(sin.f64 x) |
(fma.f64 eps (*.f64 x x) eps) |
eps |
(*.f64 x x) |
x |
(fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
eps |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) |
x |
(fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) |
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) |
(*.f64 eps eps) |
#s(literal 4/3 binary64) |
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) |
#s(literal 1/3 binary64) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) |
eps |
(*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) |
#s(literal -1/6 binary64) |
(*.f64 eps eps) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) |
(cos.f64 x) |
x |
(cos.f64 (+.f64 x eps)) |
(+.f64 x eps) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x)) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) |
(*.f64 eps (*.f64 eps eps)) |
eps |
(*.f64 eps eps) |
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) |
(cos.f64 x) |
x |
(*.f64 eps (sin.f64 x)) |
(sin.f64 x) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))) |
(sin.f64 eps) |
eps |
(*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))) |
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(cos.f64 x) |
x |
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(cos.f64 eps) |
(*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) |
(neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x))) |
(neg.f64 (sin.f64 x)) |
(sin.f64 x) |
(fma.f64 eps (*.f64 x x) eps) |
eps |
(*.f64 x x) |
x |
(fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) eps) |
eps |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) |
(*.f64 eps (fma.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x)) |
x |
(fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) |
(fma.f64 x (*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) eps) |
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) |
(*.f64 eps (*.f64 eps #s(literal 4/3 binary64))) |
(*.f64 eps eps) |
#s(literal 4/3 binary64) |
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) |
#s(literal 1/3 binary64) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 (*.f64 eps eps) (*.f64 eps #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) |
(fma.f64 (*.f64 eps eps) (*.f64 eps #s(literal -1/6 binary64)) eps) |
eps |
(*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) |
(*.f64 eps (*.f64 eps #s(literal -1/6 binary64))) |
#s(literal -1/6 binary64) |
(*.f64 eps eps) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(cos.f64 x) |
x |
(cos.f64 (+.f64 x eps)) |
(cos.f64 (+.f64 eps x)) |
(+.f64 x eps) |
(+.f64 eps x) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x)) |
(*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 eps (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) |
(*.f64 eps (*.f64 eps eps)) |
eps |
(*.f64 eps eps) |
(fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) |
(cos.f64 x) |
x |
(*.f64 eps (sin.f64 x)) |
(sin.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) |
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x)) |
| ✓ | accuracy | 99.8% | (*.f64 eps (*.f64 eps eps)) |
| ✓ | accuracy | 99.8% | (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
| ✓ | accuracy | 100.0% | (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) |
| ✓ | accuracy | 99.9% | (cos.f64 (+.f64 x eps)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) |
| ✓ | accuracy | 100.0% | (*.f64 eps eps) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 eps (*.f64 x x) eps) |
| ✓ | accuracy | 100.0% | (cos.f64 eps) |
| ✓ | accuracy | 100.0% | (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) |
| ✓ | accuracy | 100.0% | (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))) |
| ✓ | accuracy | 100.0% | (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))) |
| 135.0ms | 256× | 0 | valid |
Compiled 334 to 50 computations (85% saved)
const: 52.0ms (45.9% of total)ival-mult: 28.0ms (24.7% of total)ival-add: 11.0ms (9.7% of total)ival-div: 9.0ms (8% of total)ival-sin: 5.0ms (4.4% of total)ival-cos: 5.0ms (4.4% of total)ival-sub: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))> |
#<alt (sin.f64 eps)> |
#<alt (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))> |
#<alt (cos.f64 x)> |
#<alt (fma.f64 eps (*.f64 x x) eps)> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))> |
#<alt (fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)> |
#<alt (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps)> |
#<alt (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64))> |
#<alt (/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))> |
#<alt (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps)> |
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))> |
#<alt (*.f64 eps eps)> |
#<alt (/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x))> |
#<alt (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))> |
#<alt (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps)> |
#<alt (*.f64 eps (*.f64 eps eps))> |
#<alt (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))> |
#<alt (cos.f64 eps)> |
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))> |
#<alt (cos.f64 (+.f64 x eps))> |
#<alt (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))> |
#<alt (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))> |
| Outputs |
|---|
#<alt (/ eps (pow (cos x) 2))> |
#<alt (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))> |
#<alt (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))> |
#<alt (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))> |
#<alt (/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))> |
#<alt (/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))> |
#<alt (/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))> |
#<alt (/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))> |
#<alt (/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))> |
#<alt (/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))> |
#<alt (/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))> |
#<alt (/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))> |
#<alt (/ (sin eps) (cos eps))> |
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))> |
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))> |
#<alt (/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))> |
#<alt (/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))> |
#<alt (/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))> |
#<alt (/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))> |
#<alt (/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))> |
#<alt (/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))> |
#<alt (/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))> |
#<alt (/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))> |
#<alt eps> |
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))> |
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))> |
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (sin eps)> |
#<alt (cos eps)> |
#<alt (+ (cos eps) (* -1 (* x (sin eps))))> |
#<alt (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))> |
#<alt (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))> |
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))> |
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))> |
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))> |
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))> |
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))> |
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))> |
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))> |
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))> |
#<alt (pow (cos x) 2)> |
#<alt (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))> |
#<alt (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))> |
#<alt (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))> |
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))> |
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))> |
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))> |
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))> |
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))> |
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))> |
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))> |
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (* eps (+ 1 (pow x 2)))> |
#<alt (* eps (+ 1 (pow x 2)))> |
#<alt (* eps (+ 1 (pow x 2)))> |
#<alt (* eps (+ 1 (pow x 2)))> |
#<alt (* eps (+ 1 (pow x 2)))> |
#<alt (* eps (+ 1 (pow x 2)))> |
#<alt (* eps (+ 1 (pow x 2)))> |
#<alt (* eps (+ 1 (pow x 2)))> |
#<alt (* -1 (* eps (- (* -1 (pow x 2)) 1)))> |
#<alt (* -1 (* eps (- (* -1 (pow x 2)) 1)))> |
#<alt (* -1 (* eps (- (* -1 (pow x 2)) 1)))> |
#<alt (* -1 (* eps (- (* -1 (pow x 2)) 1)))> |
#<alt eps> |
#<alt (+ eps (* eps (pow x 2)))> |
#<alt (+ eps (* eps (pow x 2)))> |
#<alt (+ eps (* eps (pow x 2)))> |
#<alt (* eps (pow x 2))> |
#<alt (* (pow x 2) (+ eps (/ eps (pow x 2))))> |
#<alt (* (pow x 2) (+ eps (/ eps (pow x 2))))> |
#<alt (* (pow x 2) (+ eps (/ eps (pow x 2))))> |
#<alt (* eps (pow x 2))> |
#<alt (* (pow x 2) (+ eps (/ eps (pow x 2))))> |
#<alt (* (pow x 2) (+ eps (/ eps (pow x 2))))> |
#<alt (* (pow x 2) (+ eps (/ eps (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (+ (* 1/3 (pow eps 2)) (* eps x))> |
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x)))))> |
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x)))))> |
#<alt (* 4/3 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ eps x)))> |
#<alt (* (pow x 2) (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ eps x))))> |
#<alt (* (pow x 2) (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ eps x))))> |
#<alt (* 4/3 (* (pow eps 2) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ eps x)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 eps) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 eps) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2))))> |
#<alt (* eps x)> |
#<alt (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2))))))> |
#<alt (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2))))))> |
#<alt (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2))))))> |
#<alt (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))> |
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))> |
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))> |
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))> |
#<alt eps> |
#<alt (* eps (+ 1 (* eps x)))> |
#<alt (* eps (+ 1 (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2))))))))> |
#<alt (* eps (+ 1 (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2))))))))> |
#<alt (* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))> |
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))> |
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ x eps)))))> |
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ x eps)))))> |
#<alt (* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ x eps)))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (/ 1 eps)) eps)))))> |
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (/ 1 eps)) eps)))))> |
#<alt (+ eps (* 1/3 (pow eps 3)))> |
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))> |
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* 4/3 (* (pow eps 3) x)) (pow eps 2)))))> |
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* 4/3 (* (pow eps 3) x)) (pow eps 2)))))> |
#<alt (* 4/3 (* (pow eps 3) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 3)) (/ (pow eps 2) x)))> |
#<alt (* (pow x 2) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* 4/3 (pow eps 3)) (+ (/ eps (pow x 2)) (/ (pow eps 2) x)))))> |
#<alt (* (pow x 2) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* 4/3 (pow eps 3)) (+ (/ eps (pow x 2)) (/ (pow eps 2) x)))))> |
#<alt (* 4/3 (* (pow eps 3) (pow x 2)))> |
#<alt (* (pow x 2) (+ (* 4/3 (pow eps 3)) (/ (pow eps 2) x)))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)) (* -1 (pow eps 2))) x)) (* 4/3 (pow eps 3))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)) (* -1 (pow eps 2))) x)) (* 4/3 (pow eps 3))))> |
#<alt eps> |
#<alt (+ eps (* 4/3 (* (pow eps 2) x)))> |
#<alt (+ eps (* 4/3 (* (pow eps 2) x)))> |
#<alt (+ eps (* 4/3 (* (pow eps 2) x)))> |
#<alt (* 4/3 (* (pow eps 2) x))> |
#<alt (* x (+ (* 4/3 (pow eps 2)) (/ eps x)))> |
#<alt (* x (+ (* 4/3 (pow eps 2)) (/ eps x)))> |
#<alt (* x (+ (* 4/3 (pow eps 2)) (/ eps x)))> |
#<alt (* 4/3 (* (pow eps 2) x))> |
#<alt (* -1 (* x (+ (* -4/3 (pow eps 2)) (* -1 (/ eps x)))))> |
#<alt (* -1 (* x (+ (* -4/3 (pow eps 2)) (* -1 (/ eps x)))))> |
#<alt (* -1 (* x (+ (* -4/3 (pow eps 2)) (* -1 (/ eps x)))))> |
#<alt eps> |
#<alt (* eps (+ 1 (* 4/3 (* eps x))))> |
#<alt (* eps (+ 1 (* 4/3 (* eps x))))> |
#<alt (* eps (+ 1 (* 4/3 (* eps x))))> |
#<alt (* 4/3 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* 4/3 x) (/ 1 eps)))> |
#<alt (* (pow eps 2) (+ (* 4/3 x) (/ 1 eps)))> |
#<alt (* (pow eps 2) (+ (* 4/3 x) (/ 1 eps)))> |
#<alt (* 4/3 (* (pow eps 2) x))> |
#<alt (* (pow eps 2) (+ (* 4/3 x) (/ 1 eps)))> |
#<alt (* (pow eps 2) (+ (* 4/3 x) (/ 1 eps)))> |
#<alt (* (pow eps 2) (+ (* 4/3 x) (/ 1 eps)))> |
#<alt (* 4/3 (pow eps 2))> |
#<alt (* 4/3 (pow eps 2))> |
#<alt (* 4/3 (pow eps 2))> |
#<alt (* 4/3 (pow eps 2))> |
#<alt (* 4/3 (pow eps 2))> |
#<alt (* 4/3 (pow eps 2))> |
#<alt (* 4/3 (pow eps 2))> |
#<alt (* 4/3 (pow eps 2))> |
#<alt (* 4/3 (pow eps 2))> |
#<alt (* 4/3 (pow eps 2))> |
#<alt (* 4/3 (pow eps 2))> |
#<alt (* 4/3 (pow eps 2))> |
#<alt (/ eps (pow (cos x) 2))> |
#<alt (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))> |
#<alt (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))> |
#<alt (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))> |
#<alt (* -1/6 (/ (pow eps 3) (* (cos x) (cos (+ eps x)))))> |
#<alt (* (pow eps 3) (- (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (cos x) (cos (+ eps x)))))))> |
#<alt (* (pow eps 3) (- (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (cos x) (cos (+ eps x)))))))> |
#<alt (* (pow eps 3) (- (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (cos x) (cos (+ eps x)))))))> |
#<alt (* -1/6 (/ (pow eps 3) (* (cos x) (cos (- x (* -1 eps))))))> |
#<alt (* -1 (* (pow eps 3) (- (* 1/6 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))))))> |
#<alt (* -1 (* (pow eps 3) (- (* 1/6 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))))))> |
#<alt (* -1 (* (pow eps 3) (- (* 1/6 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))))))> |
#<alt (/ (+ eps (* -1/6 (pow eps 3))) (cos eps))> |
#<alt (+ (* -1/6 (/ (pow eps 3) (cos eps))) (+ (/ eps (cos eps)) (/ (* x (* (sin eps) (+ eps (* -1/6 (pow eps 3))))) (pow (cos eps) 2))))> |
#<alt (+ (* -1/6 (/ (pow eps 3) (cos eps))) (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* -1/6 (pow eps 3))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 2))))) (/ eps (cos eps))))> |
#<alt (+ (* -1/6 (/ (pow eps 3) (cos eps))) (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* -1/6 (pow eps 3))) (cos eps))))) (cos eps)) (/ (* (+ eps (* -1/6 (pow eps 3))) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* -1/6 (pow eps 3))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 2))))) (/ eps (cos eps))))> |
#<alt (/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (+ eps x))))> |
#<alt (/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (+ eps x))))> |
#<alt (/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (+ eps x))))> |
#<alt (/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (+ eps x))))> |
#<alt (/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (- eps (* -1 x)))))> |
#<alt (/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (- eps (* -1 x)))))> |
#<alt (/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (- eps (* -1 x)))))> |
#<alt (/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (- eps (* -1 x)))))> |
#<alt eps> |
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))> |
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))> |
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))> |
#<alt (* -1/6 (pow eps 3))> |
#<alt (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6))> |
#<alt (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6))> |
#<alt (* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6))> |
#<alt (* -1/6 (pow eps 3))> |
#<alt (* -1 (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2)))))> |
#<alt (* -1 (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2)))))> |
#<alt (* -1 (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2)))))> |
#<alt (* -1/6 (pow eps 2))> |
#<alt (* -1/6 (pow eps 2))> |
#<alt (* -1/6 (pow eps 2))> |
#<alt (* -1/6 (pow eps 2))> |
#<alt (* -1/6 (pow eps 2))> |
#<alt (* -1/6 (pow eps 2))> |
#<alt (* -1/6 (pow eps 2))> |
#<alt (* -1/6 (pow eps 2))> |
#<alt (* -1/6 (pow eps 2))> |
#<alt (* -1/6 (pow eps 2))> |
#<alt (* -1/6 (pow eps 2))> |
#<alt (* -1/6 (pow eps 2))> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (pow eps 2)> |
#<alt (/ eps (pow (cos x) 2))> |
#<alt (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))> |
#<alt (* eps (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))> |
#<alt (* eps (+ (* eps (- (* eps (- (* -1 (/ (* eps (* (sin x) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))> |
#<alt (* 1/5040 (/ (pow eps 6) (* (cos x) (sin x))))> |
#<alt (* (pow eps 6) (+ (* 1/5040 (/ 1 (* eps (pow (sin x) 2)))) (* 1/5040 (/ 1 (* (cos x) (sin x))))))> |
#<alt (* (pow eps 6) (+ (* -1 (/ (+ (* -1/5040 (/ (cos x) (pow (sin x) 3))) (* 1/120 (/ 1 (* (cos x) (sin x))))) (pow eps 2))) (+ (/ 1/5040 (* eps (pow (sin x) 2))) (* 1/5040 (/ 1 (* (cos x) (sin x)))))))> |
#<alt (* (pow eps 6) (- (+ (* -1 (/ (* (cos x) (+ (* -1/5040 (/ (cos x) (pow (sin x) 3))) (* 1/120 (/ 1 (* (cos x) (sin x)))))) (* (pow eps 3) (sin x)))) (+ (/ 1/5040 (* eps (pow (sin x) 2))) (* 1/5040 (/ 1 (* (cos x) (sin x)))))) (+ (* -1/5040 (/ (cos x) (* (pow eps 2) (pow (sin x) 3)))) (* 1/120 (/ 1 (* (pow eps 2) (* (cos x) (sin x))))))))> |
#<alt (* 1/5040 (/ (pow eps 6) (* (cos x) (sin x))))> |
#<alt (* (pow eps 6) (+ (* 1/5040 (/ 1 (* eps (pow (sin x) 2)))) (* 1/5040 (/ 1 (* (cos x) (sin x))))))> |
#<alt (* (pow eps 6) (+ (* -1 (/ (- (+ (* -1/5040 (/ (cos x) (* eps (pow (sin x) 3)))) (/ 1/120 (* eps (* (cos x) (sin x))))) (* 1/5040 (/ 1 (pow (sin x) 2)))) eps)) (* 1/5040 (/ 1 (* (cos x) (sin x))))))> |
#<alt (* (pow eps 6) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (cos x) (+ (* -1/5040 (/ (cos x) (pow (sin x) 3))) (* 1/120 (/ 1 (* (cos x) (sin x)))))) (* eps (sin x)))) (+ (* -1/5040 (/ (cos x) (pow (sin x) 3))) (* 1/120 (/ 1 (* (cos x) (sin x)))))) eps)) (* 1/5040 (/ 1 (pow (sin x) 2)))) eps)) (* 1/5040 (/ 1 (* (cos x) (sin x))))))> |
#<alt (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))> |
#<alt (+ eps (+ (* eps (* x (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))> |
#<alt (+ eps (+ (* x (- (* -1 (* x (+ (* -1 (* (pow eps 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* -1 (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))) (* -1 (* eps (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))) (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))> |
#<alt (+ eps (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (* eps (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (+ (* eps (+ (* -1 (* (pow eps 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* -1 (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))) (* (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (+ (* 1/6 eps) (* 1/2 eps))))))) (+ (* -1 (* (pow eps 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* -1 (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))) (* -1 (* eps (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))) (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))> |
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (- (cos x) (* eps (sin x)))))> |
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (- (cos x) (* eps (sin x)))))> |
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (- (cos x) (* eps (sin x)))))> |
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (- (cos x) (* eps (sin x)))))> |
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (- (cos x) (* eps (sin x)))))> |
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (- (cos x) (* eps (sin x)))))> |
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (- (cos x) (* eps (sin x)))))> |
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (- (cos x) (* eps (sin x)))))> |
#<alt (/ eps (cos x))> |
#<alt (* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2))))> |
#<alt (* eps (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))> |
#<alt (* eps (+ (* eps (- (* eps (- (* -1 (/ (* eps (* (sin x) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))> |
#<alt (* 1/5040 (/ (pow eps 6) (sin x)))> |
#<alt (* (pow eps 6) (+ (* 1/5040 (/ (cos x) (* eps (pow (sin x) 2)))) (* 1/5040 (/ 1 (sin x)))))> |
#<alt (* (pow eps 6) (- (+ (* -1 (/ (+ (* -1/5040 (/ (pow (cos x) 2) (pow (sin x) 3))) (* 1/120 (/ 1 (sin x)))) (pow eps 2))) (* 1/5040 (/ 1 (sin x)))) (* -1/5040 (/ (cos x) (* eps (pow (sin x) 2))))))> |
#<alt (* (pow eps 6) (- (+ (* -1 (/ (* (cos x) (+ (* -1/5040 (/ (pow (cos x) 2) (pow (sin x) 3))) (* 1/120 (/ 1 (sin x))))) (* (pow eps 3) (sin x)))) (* 1/5040 (/ 1 (sin x)))) (+ (* -1/5040 (/ (cos x) (* eps (pow (sin x) 2)))) (+ (* -1/5040 (/ (pow (cos x) 2) (* (pow eps 2) (pow (sin x) 3)))) (* 1/120 (/ 1 (* (pow eps 2) (sin x))))))))> |
#<alt (* 1/5040 (/ (pow eps 6) (sin x)))> |
#<alt (* (pow eps 6) (+ (* 1/5040 (/ (cos x) (* eps (pow (sin x) 2)))) (* 1/5040 (/ 1 (sin x)))))> |
#<alt (* (pow eps 6) (+ (* -1 (/ (- (+ (* -1/5040 (/ (pow (cos x) 2) (* eps (pow (sin x) 3)))) (/ 1/120 (* eps (sin x)))) (* 1/5040 (/ (cos x) (pow (sin x) 2)))) eps)) (* 1/5040 (/ 1 (sin x)))))> |
#<alt (* (pow eps 6) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (cos x) (+ (* -1/5040 (/ (pow (cos x) 2) (pow (sin x) 3))) (* 1/120 (/ 1 (sin x))))) (* eps (sin x)))) (+ (* -1/5040 (/ (pow (cos x) 2) (pow (sin x) 3))) (* 1/120 (/ 1 (sin x))))) eps)) (* 1/5040 (/ (cos x) (pow (sin x) 2)))) eps)) (* 1/5040 (/ 1 (sin x)))))> |
#<alt (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))> |
#<alt (+ eps (+ (* eps (* x (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))> |
#<alt (+ eps (+ (* x (- (* -1 (* x (+ (* -1 (* (pow eps 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* -1/2 (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))) (* -1 (* eps (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))) (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))> |
#<alt (+ eps (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* eps (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (+ (* 1/6 (* eps (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* eps (+ (* -1 (* (pow eps 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* -1/2 (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))))))) (+ (* -1 (* (pow eps 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* -1/2 (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))) (* -1 (* eps (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))) (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))> |
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x))))> |
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x))))> |
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x))))> |
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x))))> |
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x))))> |
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x))))> |
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x))))> |
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x))))> |
#<alt eps> |
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))> |
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))> |
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))> |
#<alt (* -1/5040 (pow eps 7))> |
#<alt (* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))> |
#<alt (* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))> |
#<alt (* (pow eps 7) (- (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/5040 (/ 1/6 (pow eps 4)))))> |
#<alt (* -1/5040 (pow eps 7))> |
#<alt (* -1 (* (pow eps 7) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))> |
#<alt (* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (* 1/120 (/ 1 (pow eps 2))))))> |
#<alt (* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (pow eps 3)> |
#<alt (* -1 (* x (sin eps)))> |
#<alt (* x (+ (* -1 (sin eps)) (* 1/6 (* (pow x 2) (sin eps)))))> |
#<alt (* x (+ (* -1 (sin eps)) (* (pow x 2) (+ (* -1/120 (* (pow x 2) (sin eps))) (* 1/6 (sin eps))))))> |
#<alt (* x (+ (* -1 (sin eps)) (* (pow x 2) (+ (* 1/6 (sin eps)) (* (pow x 2) (+ (* -1/120 (sin eps)) (* 1/5040 (* (pow x 2) (sin eps)))))))))> |
#<alt (* -1 (* (sin eps) (sin x)))> |
#<alt (* -1 (* (sin eps) (sin x)))> |
#<alt (* -1 (* (sin eps) (sin x)))> |
#<alt (* -1 (* (sin eps) (sin x)))> |
#<alt (* -1 (* (sin eps) (sin x)))> |
#<alt (* -1 (* (sin eps) (sin x)))> |
#<alt (* -1 (* (sin eps) (sin x)))> |
#<alt (* -1 (* (sin eps) (sin x)))> |
#<alt (* -1 (* eps (sin x)))> |
#<alt (* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))))> |
#<alt (* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/120 (* (pow eps 2) (sin x))) (* 1/6 (sin x))))))> |
#<alt (* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/6 (sin x)) (* (pow eps 2) (+ (* -1/120 (sin x)) (* 1/5040 (* (pow eps 2) (sin x)))))))))> |
#<alt (* -1 (* (sin eps) (sin x)))> |
#<alt (* -1 (* (sin eps) (sin x)))> |
#<alt (* -1 (* (sin eps) (sin x)))> |
#<alt (* -1 (* (sin eps) (sin x)))> |
#<alt (* -1 (* (sin eps) (sin x)))> |
#<alt (* -1 (* (sin eps) (sin x)))> |
#<alt (* -1 (* (sin eps) (sin x)))> |
#<alt (* -1 (* (sin eps) (sin x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow eps 2)))> |
#<alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))> |
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))> |
#<alt (cos eps)> |
#<alt (cos eps)> |
#<alt (cos eps)> |
#<alt (cos eps)> |
#<alt (cos eps)> |
#<alt (cos eps)> |
#<alt (cos eps)> |
#<alt (cos eps)> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (* 1/3 (pow eps 2))> |
#<alt (cos eps)> |
#<alt (+ (cos eps) (* -1 (* x (sin eps))))> |
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))> |
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos (- eps (* -1 x)))> |
#<alt (cos x)> |
#<alt (+ (cos x) (* -1 (* eps (sin x))))> |
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))> |
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (+ eps x))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos (- x (* -1 eps)))> |
#<alt (cos eps)> |
#<alt (+ (cos eps) (* -1 (* x (sin eps))))> |
#<alt (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))> |
#<alt (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))> |
#<alt (* (cos x) (cos (+ eps x)))> |
#<alt (* (cos x) (cos (+ eps x)))> |
#<alt (* (cos x) (cos (+ eps x)))> |
#<alt (* (cos x) (cos (+ eps x)))> |
#<alt (* (cos x) (cos (- eps (* -1 x))))> |
#<alt (* (cos x) (cos (- eps (* -1 x))))> |
#<alt (* (cos x) (cos (- eps (* -1 x))))> |
#<alt (* (cos x) (cos (- eps (* -1 x))))> |
#<alt (pow (cos x) 2)> |
#<alt (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))> |
#<alt (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))> |
#<alt (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))> |
#<alt (* (cos x) (cos (+ eps x)))> |
#<alt (* (cos x) (cos (+ eps x)))> |
#<alt (* (cos x) (cos (+ eps x)))> |
#<alt (* (cos x) (cos (+ eps x)))> |
#<alt (* (cos x) (cos (- x (* -1 eps))))> |
#<alt (* (cos x) (cos (- x (* -1 eps))))> |
#<alt (* (cos x) (cos (- x (* -1 eps))))> |
#<alt (* (cos x) (cos (- x (* -1 eps))))> |
#<alt (* 1/120 eps)> |
#<alt (* eps (+ 1/120 (* -1/5040 (pow eps 2))))> |
#<alt (* eps (+ 1/120 (* -1/5040 (pow eps 2))))> |
#<alt (* eps (+ 1/120 (* -1/5040 (pow eps 2))))> |
#<alt (* -1/5040 (pow eps 3))> |
#<alt (* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))> |
#<alt (* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))> |
#<alt (* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))> |
#<alt (* -1/5040 (pow eps 3))> |
#<alt (* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))> |
#<alt (* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))> |
#<alt (* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | eps | @ | 0 | (/ (sin eps) (* (cos x) (+ (* (cos x) (cos eps)) (* (neg (sin x)) (sin eps))))) |
| 2.0ms | eps | @ | inf | (/ (sin eps) (* (cos x) (+ (* (cos x) (cos eps)) (* (neg (sin x)) (sin eps))))) |
| 2.0ms | eps | @ | -inf | (/ (sin eps) (* (cos x) (+ (* (cos x) (cos eps)) (* (neg (sin x)) (sin eps))))) |
| 2.0ms | x | @ | inf | (/ (sin eps) (* (cos x) (+ (* (cos x) (cos eps)) (* (neg (sin x)) (sin eps))))) |
| 2.0ms | x | @ | -inf | (/ (sin eps) (* (cos x) (+ (* (cos x) (cos eps)) (* (neg (sin x)) (sin eps))))) |
| 1× | batch-egg-rewrite |
| 6 086× | lower-fma.f32 |
| 6 068× | lower-fma.f64 |
| 5 168× | lower-*.f32 |
| 5 148× | lower-*.f64 |
| 4 338× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 232 |
| 0 | 80 | 231 |
| 1 | 337 | 208 |
| 2 | 2672 | 208 |
| 0 | 9550 | 206 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))) |
(sin.f64 eps) |
(*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))) |
(cos.f64 x) |
(fma.f64 eps (*.f64 x x) eps) |
(*.f64 x x) |
(fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) |
(fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) |
(*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) |
(*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) |
(*.f64 eps eps) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x)) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) |
(fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) |
(*.f64 eps (*.f64 eps eps)) |
(*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) |
(cos.f64 eps) |
(*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) |
(cos.f64 (+.f64 x eps)) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) |
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) (/.f64 (sin.f64 eps) (neg.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) |
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 eps x)) (/.f64 (sin.f64 eps) (cos.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 eps x)) (/.f64 (sin.f64 eps) (cos.f64 x))))) |
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (neg.f64 (neg.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (cos.f64 (+.f64 eps x)))) |
(/.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x))) (cos.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 eps)))) (neg.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 x)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 eps x))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64))) (neg.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 (+.f64 eps x)))) (neg.f64 (cos.f64 x))) |
(pow.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (cos.f64 (+.f64 eps x)) (/.f64 (sin.f64 eps) (cos.f64 x))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) |
(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal -1/128024064000 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/1728000 binary64)))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/5040 binary64)))) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/5040 binary64)))) (-.f64 (*.f64 (*.f64 eps #s(literal 1/120 binary64)) (*.f64 eps #s(literal 1/120 binary64))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/5040 binary64)))) (*.f64 eps #s(literal 1/120 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/5040 binary64)))) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/5040 binary64))))) (*.f64 (*.f64 eps #s(literal 1/120 binary64)) (*.f64 eps #s(literal 1/120 binary64))))) (neg.f64 (-.f64 (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/5040 binary64)))) (*.f64 eps #s(literal 1/120 binary64))))) |
(/.f64 (neg.f64 (*.f64 eps (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal -1/128024064000 binary64) #s(literal 1/1728000 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/604800 binary64)))))) |
(/.f64 (neg.f64 (*.f64 eps (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal -1/128024064000 binary64) #s(literal 1/1728000 binary64)) eps)) (neg.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 eps eps) #s(literal -1/604800 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) eps)) (neg.f64 (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))) |
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/1728000 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal -1/128024064000 binary64)))) (fma.f64 (*.f64 eps #s(literal 1/120 binary64)) (*.f64 eps #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/5040 binary64)))) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/5040 binary64))))) (*.f64 (*.f64 eps #s(literal 1/120 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/5040 binary64)))))))) |
(*.f64 eps (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
(*.f64 (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) eps) |
| 1× | egg-herbie |
| 10 758× | lower-fma.f64 |
| 10 758× | lower-fma.f32 |
| 7 056× | lower-*.f64 |
| 7 056× | lower-*.f32 |
| 4 044× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 664 | 6289 |
| 1 | 2256 | 5948 |
| 2 | 7669 | 5939 |
| 0 | 8030 | 5579 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ eps (pow (cos x) 2)) |
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) |
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/ (sin eps) (cos eps)) |
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(sin eps) |
(cos eps) |
(+ (cos eps) (* -1 (* x (sin eps)))) |
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps)))))) |
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps))))))))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(pow (cos x) 2) |
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2)) |
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2)) |
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2)) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* eps (+ 1 (pow x 2))) |
(* eps (+ 1 (pow x 2))) |
(* eps (+ 1 (pow x 2))) |
(* eps (+ 1 (pow x 2))) |
(* eps (+ 1 (pow x 2))) |
(* eps (+ 1 (pow x 2))) |
(* eps (+ 1 (pow x 2))) |
(* eps (+ 1 (pow x 2))) |
(* -1 (* eps (- (* -1 (pow x 2)) 1))) |
(* -1 (* eps (- (* -1 (pow x 2)) 1))) |
(* -1 (* eps (- (* -1 (pow x 2)) 1))) |
(* -1 (* eps (- (* -1 (pow x 2)) 1))) |
eps |
(+ eps (* eps (pow x 2))) |
(+ eps (* eps (pow x 2))) |
(+ eps (* eps (pow x 2))) |
(* eps (pow x 2)) |
(* (pow x 2) (+ eps (/ eps (pow x 2)))) |
(* (pow x 2) (+ eps (/ eps (pow x 2)))) |
(* (pow x 2) (+ eps (/ eps (pow x 2)))) |
(* eps (pow x 2)) |
(* (pow x 2) (+ eps (/ eps (pow x 2)))) |
(* (pow x 2) (+ eps (/ eps (pow x 2)))) |
(* (pow x 2) (+ eps (/ eps (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/3 (pow eps 2)) |
(+ (* 1/3 (pow eps 2)) (* eps x)) |
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x))))) |
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x))))) |
(* 4/3 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ eps x))) |
(* (pow x 2) (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ eps x)))) |
(* (pow x 2) (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ eps x)))) |
(* 4/3 (* (pow eps 2) (pow x 2))) |
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ eps x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 eps) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 eps) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2)))) |
(* eps x) |
(* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) |
(* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) |
(* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) |
(* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2)))) |
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps)))) |
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps)))) |
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps)))) |
(* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2)))) |
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps)))) |
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps)))) |
(* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps)))) |
eps |
(* eps (+ 1 (* eps x))) |
(* eps (+ 1 (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))))) |
(* eps (+ 1 (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))))) |
(* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2)))) |
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps)))) |
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ x eps))))) |
(* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ x eps))))) |
(* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2)))) |
(* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ x eps))))) |
(* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (/ 1 eps)) eps))))) |
(* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (/ 1 eps)) eps))))) |
(+ eps (* 1/3 (pow eps 3))) |
(+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x))) |
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* 4/3 (* (pow eps 3) x)) (pow eps 2))))) |
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* 4/3 (* (pow eps 3) x)) (pow eps 2))))) |
(* 4/3 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 4/3 (pow eps 3)) (/ (pow eps 2) x))) |
(* (pow x 2) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* 4/3 (pow eps 3)) (+ (/ eps (pow x 2)) (/ (pow eps 2) x))))) |
(* (pow x 2) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* 4/3 (pow eps 3)) (+ (/ eps (pow x 2)) (/ (pow eps 2) x))))) |
(* 4/3 (* (pow eps 3) (pow x 2))) |
(* (pow x 2) (+ (* 4/3 (pow eps 3)) (/ (pow eps 2) x))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)) (* -1 (pow eps 2))) x)) (* 4/3 (pow eps 3)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)) (* -1 (pow eps 2))) x)) (* 4/3 (pow eps 3)))) |
eps |
(+ eps (* 4/3 (* (pow eps 2) x))) |
(+ eps (* 4/3 (* (pow eps 2) x))) |
(+ eps (* 4/3 (* (pow eps 2) x))) |
(* 4/3 (* (pow eps 2) x)) |
(* x (+ (* 4/3 (pow eps 2)) (/ eps x))) |
(* x (+ (* 4/3 (pow eps 2)) (/ eps x))) |
(* x (+ (* 4/3 (pow eps 2)) (/ eps x))) |
(* 4/3 (* (pow eps 2) x)) |
(* -1 (* x (+ (* -4/3 (pow eps 2)) (* -1 (/ eps x))))) |
(* -1 (* x (+ (* -4/3 (pow eps 2)) (* -1 (/ eps x))))) |
(* -1 (* x (+ (* -4/3 (pow eps 2)) (* -1 (/ eps x))))) |
eps |
(* eps (+ 1 (* 4/3 (* eps x)))) |
(* eps (+ 1 (* 4/3 (* eps x)))) |
(* eps (+ 1 (* 4/3 (* eps x)))) |
(* 4/3 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 4/3 x) (/ 1 eps))) |
(* (pow eps 2) (+ (* 4/3 x) (/ 1 eps))) |
(* (pow eps 2) (+ (* 4/3 x) (/ 1 eps))) |
(* 4/3 (* (pow eps 2) x)) |
(* (pow eps 2) (+ (* 4/3 x) (/ 1 eps))) |
(* (pow eps 2) (+ (* 4/3 x) (/ 1 eps))) |
(* (pow eps 2) (+ (* 4/3 x) (/ 1 eps))) |
(* 4/3 (pow eps 2)) |
(* 4/3 (pow eps 2)) |
(* 4/3 (pow eps 2)) |
(* 4/3 (pow eps 2)) |
(* 4/3 (pow eps 2)) |
(* 4/3 (pow eps 2)) |
(* 4/3 (pow eps 2)) |
(* 4/3 (pow eps 2)) |
(* 4/3 (pow eps 2)) |
(* 4/3 (pow eps 2)) |
(* 4/3 (pow eps 2)) |
(* 4/3 (pow eps 2)) |
(/ eps (pow (cos x) 2)) |
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) |
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(* -1/6 (/ (pow eps 3) (* (cos x) (cos (+ eps x))))) |
(* (pow eps 3) (- (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (cos x) (cos (+ eps x))))))) |
(* (pow eps 3) (- (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (cos x) (cos (+ eps x))))))) |
(* (pow eps 3) (- (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (cos x) (cos (+ eps x))))))) |
(* -1/6 (/ (pow eps 3) (* (cos x) (cos (- x (* -1 eps)))))) |
(* -1 (* (pow eps 3) (- (* 1/6 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps))))))))) |
(* -1 (* (pow eps 3) (- (* 1/6 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps))))))))) |
(* -1 (* (pow eps 3) (- (* 1/6 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps))))))))) |
(/ (+ eps (* -1/6 (pow eps 3))) (cos eps)) |
(+ (* -1/6 (/ (pow eps 3) (cos eps))) (+ (/ eps (cos eps)) (/ (* x (* (sin eps) (+ eps (* -1/6 (pow eps 3))))) (pow (cos eps) 2)))) |
(+ (* -1/6 (/ (pow eps 3) (cos eps))) (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* -1/6 (pow eps 3))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 2))))) (/ eps (cos eps)))) |
(+ (* -1/6 (/ (pow eps 3) (cos eps))) (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* -1/6 (pow eps 3))) (cos eps))))) (cos eps)) (/ (* (+ eps (* -1/6 (pow eps 3))) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* -1/6 (pow eps 3))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* -1/6 (pow eps 3)))) (pow (cos eps) 2))))) (/ eps (cos eps)))) |
(/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (+ eps x)))) |
(/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (+ eps x)))) |
(/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (+ eps x)))) |
(/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (+ eps x)))) |
(/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (- eps (* -1 x))))) |
(/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (- eps (* -1 x))))) |
(/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (- eps (* -1 x))))) |
(/ (+ eps (* -1/6 (pow eps 3))) (* (cos x) (cos (- eps (* -1 x))))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* -1/6 (pow eps 3)) |
(* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)) |
(* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)) |
(* (pow eps 3) (- (/ 1 (pow eps 2)) 1/6)) |
(* -1/6 (pow eps 3)) |
(* -1 (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))) |
(* -1 (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))) |
(* -1 (* (pow eps 3) (- 1/6 (/ 1 (pow eps 2))))) |
(* -1/6 (pow eps 2)) |
(* -1/6 (pow eps 2)) |
(* -1/6 (pow eps 2)) |
(* -1/6 (pow eps 2)) |
(* -1/6 (pow eps 2)) |
(* -1/6 (pow eps 2)) |
(* -1/6 (pow eps 2)) |
(* -1/6 (pow eps 2)) |
(* -1/6 (pow eps 2)) |
(* -1/6 (pow eps 2)) |
(* -1/6 (pow eps 2)) |
(* -1/6 (pow eps 2)) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(pow eps 2) |
(/ eps (pow (cos x) 2)) |
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) |
(* eps (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(* eps (+ (* eps (- (* eps (- (* -1 (/ (* eps (* (sin x) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(* 1/5040 (/ (pow eps 6) (* (cos x) (sin x)))) |
(* (pow eps 6) (+ (* 1/5040 (/ 1 (* eps (pow (sin x) 2)))) (* 1/5040 (/ 1 (* (cos x) (sin x)))))) |
(* (pow eps 6) (+ (* -1 (/ (+ (* -1/5040 (/ (cos x) (pow (sin x) 3))) (* 1/120 (/ 1 (* (cos x) (sin x))))) (pow eps 2))) (+ (/ 1/5040 (* eps (pow (sin x) 2))) (* 1/5040 (/ 1 (* (cos x) (sin x))))))) |
(* (pow eps 6) (- (+ (* -1 (/ (* (cos x) (+ (* -1/5040 (/ (cos x) (pow (sin x) 3))) (* 1/120 (/ 1 (* (cos x) (sin x)))))) (* (pow eps 3) (sin x)))) (+ (/ 1/5040 (* eps (pow (sin x) 2))) (* 1/5040 (/ 1 (* (cos x) (sin x)))))) (+ (* -1/5040 (/ (cos x) (* (pow eps 2) (pow (sin x) 3)))) (* 1/120 (/ 1 (* (pow eps 2) (* (cos x) (sin x)))))))) |
(* 1/5040 (/ (pow eps 6) (* (cos x) (sin x)))) |
(* (pow eps 6) (+ (* 1/5040 (/ 1 (* eps (pow (sin x) 2)))) (* 1/5040 (/ 1 (* (cos x) (sin x)))))) |
(* (pow eps 6) (+ (* -1 (/ (- (+ (* -1/5040 (/ (cos x) (* eps (pow (sin x) 3)))) (/ 1/120 (* eps (* (cos x) (sin x))))) (* 1/5040 (/ 1 (pow (sin x) 2)))) eps)) (* 1/5040 (/ 1 (* (cos x) (sin x)))))) |
(* (pow eps 6) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (cos x) (+ (* -1/5040 (/ (cos x) (pow (sin x) 3))) (* 1/120 (/ 1 (* (cos x) (sin x)))))) (* eps (sin x)))) (+ (* -1/5040 (/ (cos x) (pow (sin x) 3))) (* 1/120 (/ 1 (* (cos x) (sin x)))))) eps)) (* 1/5040 (/ 1 (pow (sin x) 2)))) eps)) (* 1/5040 (/ 1 (* (cos x) (sin x)))))) |
(+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) |
(+ eps (+ (* eps (* x (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(+ eps (+ (* x (- (* -1 (* x (+ (* -1 (* (pow eps 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* -1 (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))) (* -1 (* eps (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))) (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(+ eps (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (* eps (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (+ (* eps (+ (* -1 (* (pow eps 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* -1 (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))) (* (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (+ (* 1/6 eps) (* 1/2 eps))))))) (+ (* -1 (* (pow eps 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* -1 (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))) (* -1 (* eps (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))) (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (- (cos x) (* eps (sin x))))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (- (cos x) (* eps (sin x))))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (- (cos x) (* eps (sin x))))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (- (cos x) (* eps (sin x))))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (- (cos x) (* eps (sin x))))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (- (cos x) (* eps (sin x))))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (- (cos x) (* eps (sin x))))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (- (cos x) (* eps (sin x))))) |
(/ eps (cos x)) |
(* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2)))) |
(* eps (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x)))) |
(* eps (+ (* eps (- (* eps (- (* -1 (/ (* eps (* (sin x) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x)))) |
(* 1/5040 (/ (pow eps 6) (sin x))) |
(* (pow eps 6) (+ (* 1/5040 (/ (cos x) (* eps (pow (sin x) 2)))) (* 1/5040 (/ 1 (sin x))))) |
(* (pow eps 6) (- (+ (* -1 (/ (+ (* -1/5040 (/ (pow (cos x) 2) (pow (sin x) 3))) (* 1/120 (/ 1 (sin x)))) (pow eps 2))) (* 1/5040 (/ 1 (sin x)))) (* -1/5040 (/ (cos x) (* eps (pow (sin x) 2)))))) |
(* (pow eps 6) (- (+ (* -1 (/ (* (cos x) (+ (* -1/5040 (/ (pow (cos x) 2) (pow (sin x) 3))) (* 1/120 (/ 1 (sin x))))) (* (pow eps 3) (sin x)))) (* 1/5040 (/ 1 (sin x)))) (+ (* -1/5040 (/ (cos x) (* eps (pow (sin x) 2)))) (+ (* -1/5040 (/ (pow (cos x) 2) (* (pow eps 2) (pow (sin x) 3)))) (* 1/120 (/ 1 (* (pow eps 2) (sin x)))))))) |
(* 1/5040 (/ (pow eps 6) (sin x))) |
(* (pow eps 6) (+ (* 1/5040 (/ (cos x) (* eps (pow (sin x) 2)))) (* 1/5040 (/ 1 (sin x))))) |
(* (pow eps 6) (+ (* -1 (/ (- (+ (* -1/5040 (/ (pow (cos x) 2) (* eps (pow (sin x) 3)))) (/ 1/120 (* eps (sin x)))) (* 1/5040 (/ (cos x) (pow (sin x) 2)))) eps)) (* 1/5040 (/ 1 (sin x))))) |
(* (pow eps 6) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (cos x) (+ (* -1/5040 (/ (pow (cos x) 2) (pow (sin x) 3))) (* 1/120 (/ 1 (sin x))))) (* eps (sin x)))) (+ (* -1/5040 (/ (pow (cos x) 2) (pow (sin x) 3))) (* 1/120 (/ 1 (sin x))))) eps)) (* 1/5040 (/ (cos x) (pow (sin x) 2)))) eps)) (* 1/5040 (/ 1 (sin x))))) |
(+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) |
(+ eps (+ (* eps (* x (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(+ eps (+ (* x (- (* -1 (* x (+ (* -1 (* (pow eps 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* -1/2 (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))) (* -1 (* eps (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))) (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(+ eps (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* eps (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (+ (* 1/6 (* eps (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* eps (+ (* -1 (* (pow eps 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* -1/2 (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))))))))) (+ (* -1 (* (pow eps 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (* -1/2 (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))) (* -1 (* eps (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))) (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x)))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(* -1/5040 (pow eps 7)) |
(* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040)) |
(* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4))))) |
(* (pow eps 7) (- (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/5040 (/ 1/6 (pow eps 4))))) |
(* -1/5040 (pow eps 7)) |
(* -1 (* (pow eps 7) (- 1/5040 (* 1/120 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (* 1/120 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6)))))) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(pow eps 3) |
(* -1 (* x (sin eps))) |
(* x (+ (* -1 (sin eps)) (* 1/6 (* (pow x 2) (sin eps))))) |
(* x (+ (* -1 (sin eps)) (* (pow x 2) (+ (* -1/120 (* (pow x 2) (sin eps))) (* 1/6 (sin eps)))))) |
(* x (+ (* -1 (sin eps)) (* (pow x 2) (+ (* 1/6 (sin eps)) (* (pow x 2) (+ (* -1/120 (sin eps)) (* 1/5040 (* (pow x 2) (sin eps))))))))) |
(* -1 (* (sin eps) (sin x))) |
(* -1 (* (sin eps) (sin x))) |
(* -1 (* (sin eps) (sin x))) |
(* -1 (* (sin eps) (sin x))) |
(* -1 (* (sin eps) (sin x))) |
(* -1 (* (sin eps) (sin x))) |
(* -1 (* (sin eps) (sin x))) |
(* -1 (* (sin eps) (sin x))) |
(* -1 (* eps (sin x))) |
(* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))) |
(* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/120 (* (pow eps 2) (sin x))) (* 1/6 (sin x)))))) |
(* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/6 (sin x)) (* (pow eps 2) (+ (* -1/120 (sin x)) (* 1/5040 (* (pow eps 2) (sin x))))))))) |
(* -1 (* (sin eps) (sin x))) |
(* -1 (* (sin eps) (sin x))) |
(* -1 (* (sin eps) (sin x))) |
(* -1 (* (sin eps) (sin x))) |
(* -1 (* (sin eps) (sin x))) |
(* -1 (* (sin eps) (sin x))) |
(* -1 (* (sin eps) (sin x))) |
(* -1 (* (sin eps) (sin x))) |
1 |
(+ 1 (* -1/2 (pow eps 2))) |
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(cos eps) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(* 1/3 (pow eps 2)) |
(cos eps) |
(+ (cos eps) (* -1 (* x (sin eps)))) |
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) |
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos (- eps (* -1 x))) |
(cos x) |
(+ (cos x) (* -1 (* eps (sin x)))) |
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) |
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (+ eps x)) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
(cos (- x (* -1 eps))) |
(cos eps) |
(+ (cos eps) (* -1 (* x (sin eps)))) |
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps)))))) |
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps))))))))) |
(* (cos x) (cos (+ eps x))) |
(* (cos x) (cos (+ eps x))) |
(* (cos x) (cos (+ eps x))) |
(* (cos x) (cos (+ eps x))) |
(* (cos x) (cos (- eps (* -1 x)))) |
(* (cos x) (cos (- eps (* -1 x)))) |
(* (cos x) (cos (- eps (* -1 x)))) |
(* (cos x) (cos (- eps (* -1 x)))) |
(pow (cos x) 2) |
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2)) |
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2)) |
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2)) |
(* (cos x) (cos (+ eps x))) |
(* (cos x) (cos (+ eps x))) |
(* (cos x) (cos (+ eps x))) |
(* (cos x) (cos (+ eps x))) |
(* (cos x) (cos (- x (* -1 eps)))) |
(* (cos x) (cos (- x (* -1 eps)))) |
(* (cos x) (cos (- x (* -1 eps)))) |
(* (cos x) (cos (- x (* -1 eps)))) |
(* 1/120 eps) |
(* eps (+ 1/120 (* -1/5040 (pow eps 2)))) |
(* eps (+ 1/120 (* -1/5040 (pow eps 2)))) |
(* eps (+ 1/120 (* -1/5040 (pow eps 2)))) |
(* -1/5040 (pow eps 3)) |
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040)) |
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040)) |
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040)) |
(* -1/5040 (pow eps 3)) |
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2)))))) |
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2)))))) |
| Outputs |
|---|
(/ eps (pow (cos x) 2)) |
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) |
(fma.f64 eps (/.f64 (*.f64 eps (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(fma.f64 (fma.f64 eps (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 eps eps) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))) |
(fma.f64 (fma.f64 eps (fma.f64 (-.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) (cos.f64 x))) (neg.f64 eps) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 eps eps) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(/ (sin eps) (cos eps)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2))) |
(fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 x (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(fma.f64 x (fma.f64 x (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) |
(fma.f64 x (fma.f64 x (neg.f64 (fma.f64 x (-.f64 (*.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 2/3 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))) (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (-.f64 (/.f64 (sin.f64 eps) (neg.f64 (cos.f64 eps))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
(/ (sin eps) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(fma.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(sin eps) |
(sin.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(+ (cos eps) (* -1 (* x (sin eps)))) |
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) |
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps)))))) |
(fma.f64 (neg.f64 x) (fma.f64 x (cos.f64 eps) (sin.f64 eps)) (cos.f64 eps)) |
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps))))))))) |
(fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 (sin.f64 eps) (*.f64 #s(literal 2/3 binary64) x)) (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps)) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(pow (cos x) 2) |
(pow.f64 (cos.f64 x) #s(literal 2 binary64)) |
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2)) |
(*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) |
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2)) |
(fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) eps))) |
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2)) |
(fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 eps #s(literal 1/6 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))) |
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* eps (+ 1 (pow x 2))) |
(fma.f64 eps (*.f64 x x) eps) |
(* eps (+ 1 (pow x 2))) |
(fma.f64 eps (*.f64 x x) eps) |
(* eps (+ 1 (pow x 2))) |
(fma.f64 eps (*.f64 x x) eps) |
(* eps (+ 1 (pow x 2))) |
(fma.f64 eps (*.f64 x x) eps) |
(* eps (+ 1 (pow x 2))) |
(fma.f64 eps (*.f64 x x) eps) |
(* eps (+ 1 (pow x 2))) |
(fma.f64 eps (*.f64 x x) eps) |
(* eps (+ 1 (pow x 2))) |
(fma.f64 eps (*.f64 x x) eps) |
(* eps (+ 1 (pow x 2))) |
(fma.f64 eps (*.f64 x x) eps) |
(* -1 (* eps (- (* -1 (pow x 2)) 1))) |
(fma.f64 (*.f64 x (neg.f64 x)) (neg.f64 eps) eps) |
(* -1 (* eps (- (* -1 (pow x 2)) 1))) |
(fma.f64 (*.f64 x (neg.f64 x)) (neg.f64 eps) eps) |
(* -1 (* eps (- (* -1 (pow x 2)) 1))) |
(fma.f64 (*.f64 x (neg.f64 x)) (neg.f64 eps) eps) |
(* -1 (* eps (- (* -1 (pow x 2)) 1))) |
(fma.f64 (*.f64 x (neg.f64 x)) (neg.f64 eps) eps) |
eps |
(+ eps (* eps (pow x 2))) |
(fma.f64 eps (*.f64 x x) eps) |
(+ eps (* eps (pow x 2))) |
(fma.f64 eps (*.f64 x x) eps) |
(+ eps (* eps (pow x 2))) |
(fma.f64 eps (*.f64 x x) eps) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* (pow x 2) (+ eps (/ eps (pow x 2)))) |
(*.f64 (*.f64 (+.f64 eps (/.f64 eps (*.f64 x x))) x) x) |
(* (pow x 2) (+ eps (/ eps (pow x 2)))) |
(*.f64 (*.f64 (+.f64 eps (/.f64 eps (*.f64 x x))) x) x) |
(* (pow x 2) (+ eps (/ eps (pow x 2)))) |
(*.f64 (*.f64 (+.f64 eps (/.f64 eps (*.f64 x x))) x) x) |
(* eps (pow x 2)) |
(*.f64 eps (*.f64 x x)) |
(* (pow x 2) (+ eps (/ eps (pow x 2)))) |
(*.f64 (*.f64 (+.f64 eps (/.f64 eps (*.f64 x x))) x) x) |
(* (pow x 2) (+ eps (/ eps (pow x 2)))) |
(*.f64 (*.f64 (+.f64 eps (/.f64 eps (*.f64 x x))) x) x) |
(* (pow x 2) (+ eps (/ eps (pow x 2)))) |
(*.f64 (*.f64 (+.f64 eps (/.f64 eps (*.f64 x x))) x) x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/3 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) |
(+ (* 1/3 (pow eps 2)) (* eps x)) |
(fma.f64 eps x (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) |
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x))))) |
(*.f64 eps (fma.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x)) |
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* 4/3 (* (pow eps 2) x))))) |
(*.f64 eps (fma.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x)) |
(* 4/3 (* (pow eps 2) (pow x 2))) |
(*.f64 eps (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 4/3 binary64))) |
(* (pow x 2) (+ (* 4/3 (pow eps 2)) (/ eps x))) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) (/.f64 eps x))) |
(* (pow x 2) (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ eps x)))) |
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(* (pow x 2) (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ eps x)))) |
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(* (pow x 2) (+ (* 4/3 (pow eps 3)) (/ (pow eps 2) x))) |
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(* -1 (* x (+ (* -4/3 (pow eps 2)) (* -1 (/ eps x))))) |
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(* -1/6 (/ (pow eps 3) (* (cos x) (cos (+ eps x))))) |
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(* (pow eps 3) (- (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (cos x) (cos (+ eps x))))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (*.f64 (cos.f64 (+.f64 eps x)) (*.f64 eps eps)))) (/.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) |
(* (pow eps 3) (- (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (cos x) (cos (+ eps x))))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (*.f64 (cos.f64 (+.f64 eps x)) (*.f64 eps eps)))) (/.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) |
(* (pow eps 3) (- (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (cos x) (cos (+ eps x))))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (*.f64 (cos.f64 (+.f64 eps x)) (*.f64 eps eps)))) (/.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))) |
(* -1/6 (/ (pow eps 3) (* (cos x) (cos (- x (* -1 eps)))))) |
(/.f64 (*.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
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(* -1 (* (pow eps 3) (- (* 1/6 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps))))))))) |
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(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x)))) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x)))) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x)))) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) |
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (- (cos x) (* eps (sin x)))) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) |
eps |
(* eps (+ 1 (* -1/6 (pow eps 2)))) |
(fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))) |
(fma.f64 (*.f64 eps eps) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) eps) eps) |
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) |
(fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps) |
(* -1/5040 (pow eps 7)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 7 binary64))) |
(* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040)) |
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 eps eps)))) |
(* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4))))) |
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)))) |
(* (pow eps 7) (- (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/5040 (/ 1/6 (pow eps 4))))) |
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 eps eps)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal -1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps))))) |
(* -1/5040 (pow eps 7)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 7 binary64))) |
(* -1 (* (pow eps 7) (- 1/5040 (* 1/120 (/ 1 (pow eps 2)))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 eps eps))) (neg.f64 (pow.f64 eps #s(literal 7 binary64)))) |
(* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (* 1/120 (/ 1 (pow eps 2)))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (/.f64 #s(literal -1/120 binary64) (*.f64 eps eps)))) (neg.f64 (pow.f64 eps #s(literal 7 binary64)))) |
(* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) eps)) (-.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 6 binary64)))))) (neg.f64 (pow.f64 eps #s(literal 7 binary64)))) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(pow eps 3) |
(*.f64 eps (*.f64 eps eps)) |
(* -1 (* x (sin eps))) |
(*.f64 (sin.f64 eps) (neg.f64 x)) |
(* x (+ (* -1 (sin eps)) (* 1/6 (* (pow x 2) (sin eps))))) |
(*.f64 x (*.f64 (sin.f64 eps) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(* x (+ (* -1 (sin eps)) (* (pow x 2) (+ (* -1/120 (* (pow x 2) (sin eps))) (* 1/6 (sin eps)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (sin.f64 eps) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (neg.f64 (sin.f64 eps)))) |
(* x (+ (* -1 (sin eps)) (* (pow x 2) (+ (* 1/6 (sin eps)) (* (pow x 2) (+ (* -1/120 (sin eps)) (* 1/5040 (* (pow x 2) (sin eps))))))))) |
(*.f64 x (fma.f64 (sin.f64 eps) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (*.f64 (sin.f64 eps) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* -1 (* (sin eps) (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
(* -1 (* (sin eps) (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
(* -1 (* (sin eps) (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
(* -1 (* (sin eps) (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
(* -1 (* (sin eps) (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
(* -1 (* (sin eps) (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
(* -1 (* (sin eps) (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
(* -1 (* (sin eps) (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
(* -1 (* eps (sin x))) |
(neg.f64 (*.f64 eps (sin.f64 x))) |
(* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x))))) |
(*.f64 eps (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) |
(* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/120 (* (pow eps 2) (sin x))) (* 1/6 (sin x)))))) |
(*.f64 eps (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) (fma.f64 #s(literal -1/120 binary64) (*.f64 eps eps) #s(literal 1/6 binary64)))) (sin.f64 x))) |
(* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/6 (sin x)) (* (pow eps 2) (+ (* -1/120 (sin x)) (* 1/5040 (* (pow eps 2) (sin x))))))))) |
(*.f64 eps (fma.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/5040 binary64) (*.f64 eps eps) #s(literal -1/120 binary64))) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) |
(* -1 (* (sin eps) (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
(* -1 (* (sin eps) (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
(* -1 (* (sin eps) (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
(* -1 (* (sin eps) (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
(* -1 (* (sin eps) (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
(* -1 (* (sin eps) (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
(* -1 (* (sin eps) (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
(* -1 (* (sin eps) (sin x))) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow eps 2))) |
(fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))) |
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(cos eps) |
(cos.f64 eps) |
(* 1/3 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) |
(* 1/3 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) |
(* 1/3 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) |
(* 1/3 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) |
(* 1/3 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) |
(* 1/3 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) |
(* 1/3 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) |
(* 1/3 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) |
(* 1/3 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) |
(* 1/3 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) |
(* 1/3 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) |
(* 1/3 (pow eps 2)) |
(*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) |
(cos eps) |
(cos.f64 eps) |
(+ (cos eps) (* -1 (* x (sin eps)))) |
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) |
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps)))) |
(fma.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps)) |
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps)))) |
(fma.f64 x (fma.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (*.f64 (sin.f64 eps) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (cos.f64 eps)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos (- eps (* -1 x))) |
(cos.f64 (+.f64 eps x)) |
(cos x) |
(cos.f64 x) |
(+ (cos x) (* -1 (* eps (sin x)))) |
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) |
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x)))) |
(fma.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) (cos.f64 x)) |
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))) |
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (cos.f64 x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (+ eps x)) |
(cos.f64 (+.f64 eps x)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos (- x (* -1 eps))) |
(cos.f64 (+.f64 eps x)) |
(cos eps) |
(cos.f64 eps) |
(+ (cos eps) (* -1 (* x (sin eps)))) |
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) |
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps)))))) |
(fma.f64 (neg.f64 x) (fma.f64 x (cos.f64 eps) (sin.f64 eps)) (cos.f64 eps)) |
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps))))))))) |
(fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 (sin.f64 eps) (*.f64 #s(literal 2/3 binary64) x)) (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps)) |
(* (cos x) (cos (+ eps x))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (+ eps x))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (+ eps x))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (+ eps x))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (- eps (* -1 x)))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (- eps (* -1 x)))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (- eps (* -1 x)))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (- eps (* -1 x)))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(pow (cos x) 2) |
(pow.f64 (cos.f64 x) #s(literal 2 binary64)) |
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2)) |
(*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) |
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2)) |
(fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) eps))) |
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2)) |
(fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 eps #s(literal 1/6 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))))) |
(* (cos x) (cos (+ eps x))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (+ eps x))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (+ eps x))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (+ eps x))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (- x (* -1 eps)))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (- x (* -1 eps)))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (- x (* -1 eps)))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* (cos x) (cos (- x (* -1 eps)))) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(* 1/120 eps) |
(*.f64 eps #s(literal 1/120 binary64)) |
(* eps (+ 1/120 (* -1/5040 (pow eps 2)))) |
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(* eps (+ 1/120 (* -1/5040 (pow eps 2)))) |
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(* eps (+ 1/120 (* -1/5040 (pow eps 2)))) |
(*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(* -1/5040 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/5040 binary64))) |
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 eps eps)))) |
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 eps eps)))) |
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040)) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 eps eps)))) |
(* -1/5040 (pow eps 3)) |
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/5040 binary64))) |
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2)))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 eps eps))))) |
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2)))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 eps eps))))) |
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2)))))) |
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 eps eps))))) |
Compiled 38 672 to 2 691 computations (93% saved)
33 alts after pruning (30 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 162 | 19 | 1 181 |
| Fresh | 13 | 11 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 178 | 33 | 1 211 |
| Status | Accuracy | Program |
|---|---|---|
| 59.6% | (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) | |
| 98.1% | (fma.f64 (*.f64 eps eps) (fma.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) eps) | |
| 98.1% | (fma.f64 x (*.f64 eps eps) (fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps)) | |
| 98.2% | (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) eps) | |
| ✓ | 98.5% | (fma.f64 eps (*.f64 x x) eps) |
| 98.1% | (fma.f64 eps (*.f64 eps (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 4/3 binary64))) eps) | |
| 98.1% | (fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))) eps) | |
| 98.1% | (fma.f64 eps (*.f64 eps x) eps) | |
| 99.8% | (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) | |
| 98.0% | (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps) (cos.f64 x)) | |
| 99.9% | (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) | |
| 98.5% | (/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps)))) | |
| 98.5% | (/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps)))) | |
| 99.6% | (/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (fma.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) (cos.f64 x)))) | |
| 99.4% | (/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))) | |
| ✓ | 99.7% | (/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
| 98.0% | (/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))) | |
| 98.2% | (/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (cos.f64 eps)) | |
| 99.8% | (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) | |
| 99.6% | (/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (neg.f64 (sin.f64 x))) (cos.f64 x))) (cos.f64 x)) | |
| 99.4% | (/.f64 (/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x)) | |
| 99.8% | (/.f64 (*.f64 (fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) eps) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (cos.f64 x)) | |
| 100.0% | (/.f64 (sin.f64 eps) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 eps) (*.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))) | |
| 99.9% | (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))) | |
| 100.0% | (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps))))) | |
| 99.0% | (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) | |
| 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps))) | |
| 59.6% | (-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) (tan.f64 x)) | |
| ✓ | 59.4% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 98.5% | (*.f64 (fma.f64 x x #s(literal 1 binary64)) eps) | |
| 99.8% | (*.f64 (/.f64 (fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) eps) (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (-.f64 x (+.f64 eps x))))) #s(literal 2 binary64)) | |
| 52.4% | (*.f64 (*.f64 x x) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (/.f64 (neg.f64 (fma.f64 eps eps (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) eps) x))) (neg.f64 x)))) | |
| 6.4% | (*.f64 eps (*.f64 x x)) |
Compiled 2 313 to 707 computations (69.4% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 x x)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps) |
(fma.f64 eps (*.f64 eps x) eps) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 eps (*.f64 x (+.f64 eps x)) eps) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps) |
(fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) eps) |
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) eps) |
(fma.f64 eps (fma.f64 x eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps)) |
(fma.f64 eps (*.f64 eps (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 4/3 binary64))) eps) |
(fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))) eps) |
(fma.f64 x (*.f64 eps eps) (fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) eps) |
(fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(*.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (/.f64 (neg.f64 (fma.f64 eps eps (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) eps) x))) (neg.f64 x)))) |
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (cos.f64 eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) (cos.f64 eps)) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps) (cos.f64 x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/6 binary64))) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(-.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x)))) (tan.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) eps))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) eps) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (cos.f64 x)) |
(*.f64 (/.f64 (fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) eps) (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (-.f64 x (+.f64 eps x))))) #s(literal 2 binary64)) |
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x)) |
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) |
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))) |
(/.f64 (/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x)) |
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (fma.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) (cos.f64 x)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (neg.f64 (sin.f64 x))) (cos.f64 x))) (cos.f64 x)) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) (tan.f64 x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) |
(fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps))))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))) (cos.f64 x)) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))) |
(/.f64 (sin.f64 eps) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 eps) (*.f64 (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (/.f64 (sin.f64 x) (cos.f64 x))) |
(fma.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (neg.f64 (tan.f64 x))) |
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) (neg.f64 (tan.f64 x))) |
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) |
(fma.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (tan.f64 x))) |
(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) |
(/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 eps (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 x)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x))) (cos.f64 x)) |
(-.f64 (/.f64 (*.f64 (cos.f64 x) (+.f64 (tan.f64 x) (tan.f64 eps))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (*.f64 (cos.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (*.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64)) (-.f64 (tan.f64 x) (tan.f64 eps))) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64)) (-.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x)))) |
(fma.f64 eps (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (pow.f64 (*.f64 (sin.f64 x) (tan.f64 x)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/3 binary64))) (/.f64 (fma.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (sin.f64 x)) (cos.f64 x))))) eps) |
(fma.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps))))) |
3 calls:
| 26.0ms | eps |
| 21.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 20.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | eps |
| 100.0% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 x x)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps) |
(fma.f64 eps (*.f64 eps x) eps) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 eps (*.f64 x (+.f64 eps x)) eps) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps) |
(fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) eps) |
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) eps) |
(fma.f64 eps (fma.f64 x eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps)) |
(fma.f64 eps (*.f64 eps (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 4/3 binary64))) eps) |
(fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))) eps) |
(fma.f64 x (*.f64 eps eps) (fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) eps) |
(fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(*.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (/.f64 (neg.f64 (fma.f64 eps eps (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) eps) x))) (neg.f64 x)))) |
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (cos.f64 eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) (cos.f64 eps)) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps) (cos.f64 x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/6 binary64))) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(-.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x)))) (tan.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) eps))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) eps) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (cos.f64 x)) |
(*.f64 (/.f64 (fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) eps) (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (-.f64 x (+.f64 eps x))))) #s(literal 2 binary64)) |
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x)) |
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) |
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))) |
(/.f64 (/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x)) |
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (fma.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) (cos.f64 x)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (neg.f64 (sin.f64 x))) (cos.f64 x))) (cos.f64 x)) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) (tan.f64 x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) |
(fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 x) (tan.f64 eps)))) (neg.f64 (tan.f64 x))) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))) |
3 calls:
| 39.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 22.0ms | eps |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | eps |
| 99.9% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 x x)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps) |
(fma.f64 eps (*.f64 eps x) eps) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 eps (*.f64 x (+.f64 eps x)) eps) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps) |
(fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) eps) |
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) eps) |
(fma.f64 eps (fma.f64 x eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps)) |
(fma.f64 eps (*.f64 eps (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 4/3 binary64))) eps) |
(fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))) eps) |
(fma.f64 x (*.f64 eps eps) (fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) eps) |
(fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(*.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (/.f64 (neg.f64 (fma.f64 eps eps (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) eps) x))) (neg.f64 x)))) |
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (cos.f64 eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) (cos.f64 eps)) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps) (cos.f64 x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/6 binary64))) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(-.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (fma.f64 eps (+.f64 x eps) (*.f64 x x)) (-.f64 x eps))) (fma.f64 eps (+.f64 x eps) (*.f64 x x)))) (tan.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) eps))) |
(/.f64 (*.f64 (fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) eps) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (cos.f64 x)) |
(*.f64 (/.f64 (fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) eps) (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (-.f64 x (+.f64 eps x))))) #s(literal 2 binary64)) |
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x)) |
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x))) |
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))) |
(/.f64 (/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x)) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (cos.f64 x)) |
(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (fma.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)) (cos.f64 x)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (neg.f64 (sin.f64 x))) (cos.f64 x))) (cos.f64 x)) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x)) |
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) (tan.f64 x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x))) |
(fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
3 calls:
| 20.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 19.0ms | x |
| 16.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | eps |
| 99.9% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 x x)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps) |
(fma.f64 eps (*.f64 eps x) eps) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 eps (*.f64 x (+.f64 eps x)) eps) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps) |
(fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) eps) |
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) eps) |
(fma.f64 eps (fma.f64 x eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps)) |
(fma.f64 eps (*.f64 eps (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 4/3 binary64))) eps) |
(fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))) eps) |
(fma.f64 x (*.f64 eps eps) (fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) eps) |
(fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(*.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (/.f64 (neg.f64 (fma.f64 eps eps (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) eps) x))) (neg.f64 x)))) |
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (cos.f64 eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) (cos.f64 eps)) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps) (cos.f64 x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/6 binary64))) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
| Outputs |
|---|
(/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
3 calls:
| 11.0ms | eps |
| 10.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | eps |
| 99.8% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 x x)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps) |
(fma.f64 eps (*.f64 eps x) eps) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 eps (*.f64 x (+.f64 eps x)) eps) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps) |
(fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) eps) |
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) eps) |
(fma.f64 eps (fma.f64 x eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps)) |
(fma.f64 eps (*.f64 eps (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 4/3 binary64))) eps) |
(fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))) eps) |
(fma.f64 x (*.f64 eps eps) (fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) eps) |
(fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(*.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (/.f64 (neg.f64 (fma.f64 eps eps (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) eps) x))) (neg.f64 x)))) |
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (cos.f64 eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) (cos.f64 eps)) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps) (cos.f64 x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 eps (*.f64 eps (*.f64 eps #s(literal -1/6 binary64))) eps) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps))) |
| Outputs |
|---|
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
3 calls:
| 11.0ms | eps |
| 10.0ms | x |
| 10.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | eps |
| 99.7% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 x x)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps) |
(fma.f64 eps (*.f64 eps x) eps) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 eps (*.f64 x (+.f64 eps x)) eps) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps) |
(fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) eps) |
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) eps) |
(fma.f64 eps (fma.f64 x eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps)) |
(fma.f64 eps (*.f64 eps (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 4/3 binary64))) eps) |
(fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))) eps) |
(fma.f64 x (*.f64 eps eps) (fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) eps) |
(fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(*.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (/.f64 (neg.f64 (fma.f64 eps eps (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) eps) x))) (neg.f64 x)))) |
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (cos.f64 eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) (cos.f64 eps)) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps) (cos.f64 x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
| Outputs |
|---|
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
3 calls:
| 13.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 10.0ms | x |
| 9.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
| 99.0% | 1 | eps |
| 99.0% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 x x)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps) |
(fma.f64 eps (*.f64 eps x) eps) |
(fma.f64 eps (*.f64 x x) eps) |
(fma.f64 eps (*.f64 x (+.f64 eps x)) eps) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) |
(fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps) |
(fma.f64 eps (*.f64 eps (*.f64 eps #s(literal 1/3 binary64))) eps) |
(fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) eps) |
(fma.f64 eps (fma.f64 x eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps)) |
(fma.f64 eps (*.f64 eps (*.f64 (*.f64 eps (*.f64 x x)) #s(literal 4/3 binary64))) eps) |
(fma.f64 eps (*.f64 eps (*.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))) eps) |
(fma.f64 x (*.f64 eps eps) (fma.f64 eps (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) eps)) |
(fma.f64 (*.f64 eps eps) (fma.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) x) eps) |
(fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (*.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps) |
(*.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps) |
(*.f64 (*.f64 x x) (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/3 binary64)) (/.f64 (neg.f64 (fma.f64 eps eps (/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)) eps) x))) (neg.f64 x)))) |
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (cos.f64 eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)) x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) (cos.f64 eps)) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps) (cos.f64 x)) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 x eps))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(/.f64 (sin.f64 eps) (cos.f64 eps)) |
| Outputs |
|---|
(fma.f64 eps (*.f64 x x) eps) |
3 calls:
| 10.0ms | x |
| 9.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 9.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | eps |
| 98.5% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 eps (*.f64 x x)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps) |
(fma.f64 eps (*.f64 eps x) eps) |
| Outputs |
|---|
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps) |
3 calls:
| 2.0ms | eps |
| 2.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | eps |
| 98.5% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 98.5% | 1 | x |
Compiled 15 to 10 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 eps (*.f64 x x)) |
| Outputs |
|---|
(*.f64 eps (*.f64 x x)) |
3 calls:
| 2.0ms | eps |
| 1.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.4% | 1 | eps |
| 6.4% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 6.4% | 1 | x |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
| 38× | *-commutative_binary64 |
| 12× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 145 |
| 1 | 74 | 145 |
| 2 | 88 | 145 |
| 3 | 101 | 145 |
| 4 | 107 | 145 |
| 5 | 109 | 145 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(fma.f64 eps (*.f64 x x) eps) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps) |
(*.f64 eps (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) eps))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))) |
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))))) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/.f64 (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(/.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(fma.f64 eps (*.f64 x x) eps) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) eps) |
(*.f64 eps (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 eps (*.f64 x x)) |
| 14 592× | lower-fma.f64 |
| 14 592× | lower-fma.f32 |
| 10 758× | lower-fma.f64 |
| 10 758× | lower-fma.f32 |
| 9 870× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 232 |
| 0 | 80 | 231 |
| 1 | 337 | 208 |
| 2 | 2672 | 208 |
| 0 | 9550 | 206 |
| 0 | 157 | 1351 |
| 1 | 464 | 1285 |
| 2 | 1534 | 1274 |
| 3 | 5949 | 1242 |
| 0 | 8534 | 1195 |
| 0 | 789 | 7883 |
| 1 | 2554 | 7656 |
| 0 | 8323 | 7276 |
| 0 | 664 | 6289 |
| 1 | 2256 | 5948 |
| 2 | 7669 | 5939 |
| 0 | 8030 | 5579 |
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 50 | 16 |
| 2 | 402 | 16 |
| 3 | 6117 | 16 |
| 0 | 8095 | 16 |
| 0 | 725 | 9557 |
| 1 | 2351 | 9360 |
| 2 | 7946 | 9258 |
| 0 | 8104 | 8905 |
| 0 | 41 | 236 |
| 0 | 80 | 221 |
| 1 | 344 | 217 |
| 2 | 2915 | 217 |
| 0 | 9257 | 217 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 557 to 289 computations (48.1% saved)
Compiled 394 to 164 computations (58.4% saved)
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