
Time bar (total: 15.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 5 |
| 16.7% | 0.1% | 0.5% | 99.2% | 0% | 0.2% | 0% | 6 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 7 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 8 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 9 |
| 45% | 0.2% | 0.3% | 99.2% | 0% | 0.3% | 0% | 10 |
| 52.5% | 0.3% | 0.2% | 99.2% | 0% | 0.3% | 0% | 11 |
| 52.5% | 0.3% | 0.2% | 99.2% | 0% | 0.3% | 0% | 12 |
Compiled 59 to 39 computations (33.9% saved)
| 1.9s | 8 256× | 0 | valid |
| 647.0ms | 2 060× | 0 | invalid |
ival-sin: 513.0ms (23.6% of total)ival-<=: 505.0ms (23.2% of total)ival-mult: 482.0ms (22.2% of total)const: 224.0ms (10.3% of total)ival-div: 159.0ms (7.3% of total)ival-add: 90.0ms (4.1% of total)ival-pi: 62.0ms (2.9% of total)ival-sub: 59.0ms (2.7% of total)ival-and: 52.0ms (2.4% of total)exact: 21.0ms (1% of total)ival-assert: 4.0ms (0.2% of total)| 1× | egg-herbie |
| 1 402× | unsub-neg |
| 1 014× | times-frac |
| 832× | lower-fma.f64 |
| 832× | lower-fma.f32 |
| 738× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 368 |
| 1 | 279 | 300 |
| 2 | 741 | 283 |
| 3 | 1977 | 255 |
| 4 | 3516 | 252 |
| 5 | 6491 | 252 |
| 0 | 17 | 25 |
| 0 | 29 | 25 |
| 1 | 48 | 21 |
| 2 | 88 | 20 |
| 3 | 156 | 18 |
| 4 | 203 | 18 |
| 5 | 238 | 18 |
| 6 | 282 | 18 |
| 7 | 367 | 18 |
| 8 | 510 | 18 |
| 9 | 609 | 18 |
| 10 | 735 | 18 |
| 11 | 1173 | 18 |
| 12 | 1886 | 18 |
| 13 | 2293 | 18 |
| 14 | 2312 | 18 |
| 15 | 2313 | 18 |
| 16 | 2313 | 18 |
| 0 | 2313 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) |
(abs normAngle)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 27 | 0 | - | 21 | (4.741656766114133e-34 1.5865671798565018e-7 7.637312172322516e-27 2.5299000764268975e-20) | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 1 | 0 | - | 0 | - | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
| 0 | 0 | - | 0 | - | (*.f32 u normAngle) |
| 0 | 0 | - | 0 | - | n1_i |
| 0 | 0 | - | 0 | - | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
| 0 | 0 | - | 0 | - | n0_i |
| 0 | 0 | - | 0 | - | normAngle |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u) |
| 0 | 0 | - | 0 | - | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 u normAngle)) |
| 0 | 0 | - | 0 | - | u |
| 0 | 0 | - | 0 | - | (sin.f32 normAngle) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f32 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*u | 4 | 0 |
*.f32 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*o | 1 | 0 |
*.f32 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*o | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5 | 7 |
| - | 0 | 244 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5 | 0 | 7 |
| - | 0 | 0 | 244 |
| number | freq |
|---|---|
| 0 | 251 |
| 1 | 4 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 113.0ms | 508× | 0 | valid |
| 2.0ms | 4× | 5 | exit |
Compiled 264 to 72 computations (72.7% saved)
ival-div: 55.0ms (58% of total)ival-mult: 17.0ms (17.9% of total)ival-sin: 17.0ms (17.9% of total)ival-sub: 3.0ms (3.2% of total)ival-add: 2.0ms (2.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.3% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 29 to 17 computations (41.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| ✓ | cost-diff | 160 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | cost-diff | 160 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | cost-diff | 3616 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 832× | lower-fma.f64 |
| 832× | lower-fma.f32 |
| 576× | lower-*.f64 |
| 564× | lower-*.f32 |
| 486× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 101 |
| 0 | 29 | 101 |
| 1 | 48 | 89 |
| 2 | 88 | 88 |
| 3 | 156 | 86 |
| 4 | 203 | 86 |
| 5 | 238 | 86 |
| 6 | 282 | 86 |
| 7 | 367 | 86 |
| 8 | 510 | 86 |
| 9 | 609 | 86 |
| 10 | 735 | 86 |
| 11 | 1173 | 86 |
| 12 | 1886 | 86 |
| 13 | 2293 | 86 |
| 14 | 2312 | 86 |
| 15 | 2313 | 86 |
| 16 | 2313 | 86 |
| 0 | 2313 | 85 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 u normAngle)) |
(*.f32 u normAngle) |
n1_i |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(sin.f32 (*.f32 u normAngle)) |
(*.f32 u normAngle) |
n1_i |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| ✓ | accuracy | 99.5% | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| ✓ | accuracy | 98.5% | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | accuracy | 93.9% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 46.0ms | 254× | 0 | valid |
| 1.0ms | 2× | 5 | exit |
Compiled 103 to 19 computations (81.6% saved)
ival-mult: 8.0ms (37.5% of total)ival-sin: 6.0ms (28.1% of total)ival-add: 3.0ms (14.1% of total)ival-div: 2.0ms (9.4% of total)ival-sub: 1.0ms (4.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))> |
#<alt (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))> |
#<alt (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))> |
#<alt (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)> |
#<alt (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)> |
| Outputs |
|---|
#<alt n0_i> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))> |
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))> |
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))> |
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))> |
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))> |
#<alt (- 1 u)> |
#<alt (- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)> |
#<alt (- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)> |
#<alt (- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (* normAngle u) (sin normAngle))> |
#<alt (* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))> |
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))> |
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle))))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt u> |
#<alt (+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))> |
#<alt (+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))> |
#<alt (+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt n0_i> |
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))> |
#<alt (* n0_i (- 1 u))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt normAngle> |
#<alt (+ normAngle (* -1 (* normAngle u)))> |
#<alt (+ normAngle (* -1 (* normAngle u)))> |
#<alt (+ normAngle (* -1 (* normAngle u)))> |
#<alt (* -1 (* normAngle u))> |
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))> |
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))> |
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))> |
#<alt (* -1 (* normAngle u))> |
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))> |
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))> |
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | normAngle | @ | 0 | (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) |
| 3.0ms | n0_i | @ | 0 | (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) |
| 3.0ms | u | @ | inf | (* (sin (* u normAngle)) (/ 1 (sin normAngle))) |
| 3.0ms | normAngle | @ | inf | (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
| 2.0ms | normAngle | @ | 0 | (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
| 1× | batch-egg-rewrite |
| 7 546× | lower-fma.f64 |
| 7 546× | lower-fma.f32 |
| 5 814× | lower-*.f64 |
| 5 802× | lower-*.f32 |
| 2 004× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 63 |
| 0 | 29 | 53 |
| 1 | 83 | 53 |
| 2 | 469 | 52 |
| 3 | 4845 | 52 |
| 0 | 8489 | 51 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| Outputs |
|---|
(neg.f32 (/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (neg.f32 (fma.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) (*.f32 n1_i (*.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))))))) |
(neg.f32 (/.f32 (fma.f32 n0_i (*.f32 n0_i (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (neg.f32 (*.f32 n1_i n1_i)))) (neg.f32 (/.f32 (-.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))) |
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (fma.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) (*.f32 n1_i (*.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))))))) |
(neg.f32 (/.f32 (neg.f32 (fma.f32 n0_i (*.f32 n0_i (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (neg.f32 (*.f32 n1_i n1_i))))) (/.f32 (-.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))) #s(literal -1 binary32))) |
(+.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle))) |
(+.f32 (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (*.f32 n0_i n0_i)) (/.f32 (-.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))) (neg.f32 (/.f32 (*.f32 n1_i (*.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))) (/.f32 (-.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))) |
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (sin.f32 normAngle)) (-.f32 (*.f32 n1_i (*.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))) (*.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (*.f32 n0_i n0_i)))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle))) |
(fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 (/.f32 (*.f32 n0_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (/.f32 (-.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))) (neg.f32 (/.f32 (*.f32 n1_i (*.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))) (/.f32 (-.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))) |
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(+.f32 (*.f32 normAngle (neg.f32 u)) normAngle) |
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) u) (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u)))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 normAngle (neg.f32 u))) |
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (neg.f32 u))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(fma.f32 #s(literal -1 binary32) (*.f32 u normAngle) normAngle) |
(fma.f32 (neg.f32 u) normAngle normAngle) |
(fma.f32 (*.f32 normAngle #s(literal -1 binary32)) u normAngle) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u) (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(/.f32 normAngle (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 #s(literal 1 binary32) u)) |
(/.f32 (neg.f32 (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 #s(literal 1 binary32) u))) |
(/.f32 (fma.f32 (*.f32 normAngle normAngle) normAngle (*.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) normAngle))) (fma.f32 normAngle normAngle (-.f32 (*.f32 (*.f32 normAngle (neg.f32 u)) (*.f32 normAngle (neg.f32 u))) (*.f32 normAngle (*.f32 normAngle (neg.f32 u)))))) |
(/.f32 (-.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle (neg.f32 u)) (*.f32 normAngle (neg.f32 u)))) (-.f32 normAngle (*.f32 normAngle (neg.f32 u)))) |
(/.f32 (*.f32 normAngle (neg.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) |
(/.f32 (*.f32 normAngle (+.f32 #s(literal -1 binary32) (*.f32 u u))) (neg.f32 (+.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 (neg.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) normAngle) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) |
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (neg.f32 (+.f32 #s(literal 1 binary32) u))) |
(*.f32 normAngle (+.f32 #s(literal 1 binary32) u)) |
(*.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) normAngle)) |
(*.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32)) (/.f32 normAngle (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 normAngle (+.f32 #s(literal 1 binary32) u))) |
(*.f32 (+.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) |
(*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))) |
(*.f32 (/.f32 (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (fma.f32 (fma.f32 u u u) (*.f32 (fma.f32 u u u) (fma.f32 u u u)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u u u) (-.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u u u) (fma.f32 u u u)))) (-.f32 #s(literal 1 binary32) (fma.f32 u u u))) |
(*.f32 (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 #s(literal 1 binary32) u)) |
(*.f32 (/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) |
| 1× | egg-herbie |
| 12 022× | lower-fma.f64 |
| 12 022× | lower-fma.f32 |
| 6 426× | lower-+.f64 |
| 6 426× | lower-+.f32 |
| 5 452× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 2830 |
| 1 | 987 | 2714 |
| 2 | 3385 | 2654 |
| 0 | 8124 | 2540 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(- 1 u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (* normAngle u) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(+ normAngle (* -1 (* normAngle u))) |
(+ normAngle (* -1 (* normAngle u))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* -1 (* normAngle u)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
| Outputs |
|---|
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) (fma.f32 (fma.f32 n1_i (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (sin.f32 normAngle)) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (cos.f32 normAngle) (*.f32 n0_i (*.f32 normAngle (*.f32 normAngle normAngle)))) (sin.f32 normAngle)))) (*.f32 u u) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) n0_i) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) #s(literal 1/120 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (fma.f32 n1_i (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u)) (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/36 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) #s(literal 1/120 binary32))))))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(fma.f32 (*.f32 u normAngle) (/.f32 (cos.f32 normAngle) (neg.f32 (sin.f32 normAngle))) #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 u (fma.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(fma.f32 u (fma.f32 u (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 u (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) #s(literal 1 binary32)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u)) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32))))) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(/ (* normAngle u) (sin normAngle)) |
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(*.f32 u (fma.f32 (*.f32 u u) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 (*.f32 u u) (/.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 (*.f32 u u) (fma.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 u (*.f32 u (pow.f32 normAngle #s(literal 7 binary32)))) (sin.f32 normAngle)) (/.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle)))) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32)) (fma.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 #s(literal 1/720 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 #s(literal -1/5040 binary32) (neg.f32 u))))) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) u) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (neg.f32 u) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 u (*.f32 n0_i (fma.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(fma.f32 u (fma.f32 u (*.f32 n0_i (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 u (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (neg.f32 (sin.f32 normAngle)))) n0_i) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(* n0_i (- 1 u)) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/36 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i))))) (*.f32 n0_i (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 n0_i (neg.f32 u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/36 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i))))) (fma.f32 n0_i (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32)) (*.f32 #s(literal -1/720 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)))))))) (fma.f32 n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/36 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)))))) (*.f32 n0_i (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 n0_i (neg.f32 u) n0_i)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(+ normAngle (* -1 (* normAngle u))) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(+ normAngle (* -1 (* normAngle u))) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(* -1 (* normAngle u)) |
(*.f32 u (neg.f32 normAngle)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle)) |
(* -1 (* normAngle u)) |
(*.f32 u (neg.f32 normAngle)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle)) |
(* normAngle (- 1 u)) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
Compiled 14 967 to 1 041 computations (93% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 378 | 14 | 392 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 379 | 14 | 393 |
| Status | Accuracy | Program |
|---|---|---|
| 97.0% | (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) | |
| 98.9% | (fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) | |
| ▶ | 99.4% | (fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
| ▶ | 98.0% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
| 7.7% | (/.f32 (fma.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) | |
| 96.3% | (+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 96.5% | (+.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| ▶ | 98.6% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i)) |
| ▶ | 98.3% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
| 96.5% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) n1_i)) | |
| 81.7% | (+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 75.9% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))) | |
| 40.4% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) | |
| ▶ | 58.2% | (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
Compiled 752 to 460 computations (38.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| ✓ | cost-diff | 64 | (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) |
| ✓ | cost-diff | 64 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i)) |
| ✓ | cost-diff | 160 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | cost-diff | 0 | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| ✓ | cost-diff | 64 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
| ✓ | cost-diff | 160 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | cost-diff | 0 | (fma.f32 u (neg.f32 normAngle) normAngle) |
| ✓ | cost-diff | 0 | (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) |
| ✓ | cost-diff | 0 | (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
| ✓ | cost-diff | 0 | (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
| ✓ | cost-diff | 0 | (*.f32 u n1_i) |
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) |
| ✓ | cost-diff | 160 | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
| ✓ | cost-diff | 0 | (*.f32 normAngle (cos.f32 normAngle)) |
| ✓ | cost-diff | 0 | (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) |
| ✓ | cost-diff | 0 | (fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
| ✓ | cost-diff | 3712 | (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
| 13 572× | lower-fma.f64 |
| 13 552× | lower-fma.f32 |
| 4 690× | lower-*.f64 |
| 4 660× | lower-*.f32 |
| 3 040× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 520 |
| 0 | 99 | 512 |
| 1 | 201 | 508 |
| 2 | 544 | 498 |
| 3 | 1820 | 490 |
| 4 | 5357 | 490 |
| 5 | 6811 | 489 |
| 0 | 8048 | 480 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
u |
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
n0_i |
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) |
(*.f32 normAngle (cos.f32 normAngle)) |
normAngle |
(cos.f32 normAngle) |
(neg.f32 (sin.f32 normAngle)) |
(sin.f32 normAngle) |
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) |
(/.f32 n1_i (sin.f32 normAngle)) |
n1_i |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
n0_i |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
(*.f32 u n1_i) |
n1_i |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
n0_i |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
u |
(neg.f32 normAngle) |
normAngle |
(sin.f32 normAngle) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) |
(*.f32 normAngle normAngle) |
(*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) |
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) |
(*.f32 u u) |
#s(literal -1/6 binary32) |
#s(literal 1/6 binary32) |
n1_i |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) |
(*.f32 normAngle normAngle) |
(fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) |
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) |
(*.f32 u u) |
#s(literal -1/6 binary32) |
#s(literal 1/6 binary32) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) |
(fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) |
#s(literal 1/120 binary32) |
(-.f32 (pow.f32 u #s(literal 5 binary32)) u) |
(pow.f32 u #s(literal 5 binary32)) |
#s(literal 5 binary32) |
(*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) |
#s(literal -1/36 binary32) |
(*.f32 u (fma.f32 u u #s(literal -1 binary32))) |
(fma.f32 u u #s(literal -1 binary32)) |
#s(literal -1 binary32) |
n1_i |
| Outputs |
|---|
(fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
(fma.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i) n0_i) |
u |
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i)) |
n0_i |
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) |
(*.f32 (cos.f32 normAngle) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) |
(*.f32 normAngle (cos.f32 normAngle)) |
normAngle |
(cos.f32 normAngle) |
(neg.f32 (sin.f32 normAngle)) |
(sin.f32 normAngle) |
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/.f32 n1_i (sin.f32 normAngle)) |
n1_i |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
n0_i |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
(*.f32 u n1_i) |
n1_i |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
n0_i |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
u |
(neg.f32 normAngle) |
normAngle |
(sin.f32 normAngle) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 n1_i (fma.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 u (*.f32 normAngle normAngle)) u) (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i) |
(*.f32 n1_i (fma.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 u (*.f32 normAngle normAngle)) u)) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) |
(fma.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 u (*.f32 normAngle normAngle)) u) |
(*.f32 normAngle normAngle) |
(*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) |
(*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) |
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) |
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) |
(*.f32 u u) |
#s(literal -1/6 binary32) |
#s(literal 1/6 binary32) |
n1_i |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i)) |
(fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/120 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))) (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) u) (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/120 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))) (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) u)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/120 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))) (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) u) |
(*.f32 normAngle normAngle) |
(fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/120 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))) (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) |
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) |
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) |
(*.f32 u u) |
#s(literal -1/6 binary32) |
#s(literal 1/6 binary32) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/120 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))))) |
(fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) |
(fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/120 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))) |
#s(literal 1/120 binary32) |
(-.f32 (pow.f32 u #s(literal 5 binary32)) u) |
(pow.f32 u #s(literal 5 binary32)) |
#s(literal 5 binary32) |
(*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) |
(*.f32 u (*.f32 #s(literal -1/36 binary32) (fma.f32 u u #s(literal -1 binary32)))) |
#s(literal -1/36 binary32) |
(*.f32 u (fma.f32 u u #s(literal -1 binary32))) |
(fma.f32 u u #s(literal -1 binary32)) |
#s(literal -1 binary32) |
n1_i |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) |
| ✓ | accuracy | 99.1% | (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) |
| ✓ | accuracy | 98.7% | (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) |
| ✓ | accuracy | 98.5% | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | accuracy | 99.5% | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| ✓ | accuracy | 99.5% | (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) |
| ✓ | accuracy | 99.1% | (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) |
| ✓ | accuracy | 98.5% | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | accuracy | 100.0% | (neg.f32 normAngle) |
| ✓ | accuracy | 100.0% | (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) |
| ✓ | accuracy | 99.5% | (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
| ✓ | accuracy | 99.2% | (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
| ✓ | accuracy | 100.0% | (-.f32 #s(literal 1 binary32) u) |
| ✓ | accuracy | 100.0% | (*.f32 u n1_i) |
| ✓ | accuracy | 99.5% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
| ✓ | accuracy | 99.9% | (*.f32 normAngle (cos.f32 normAngle)) |
| ✓ | accuracy | 99.9% | (/.f32 n1_i (sin.f32 normAngle)) |
| ✓ | accuracy | 99.9% | (fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
| ✓ | accuracy | 99.6% | (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) |
| 220.0ms | 252× | 0 | valid |
| 4.0ms | 2× | 5 | exit |
| 2.0ms | 2× | 1 | valid |
Compiled 565 to 61 computations (89.2% saved)
ival-mult: 138.0ms (71.1% of total)ival-add: 15.0ms (7.7% of total)const: 12.0ms (6.2% of total)ival-sin: 8.0ms (4.1% of total)ival-div: 7.0ms (3.6% of total)ival-pow: 5.0ms (2.6% of total)ival-cos: 3.0ms (1.5% of total)ival-sub: 2.0ms (1% of total)ival-neg: 2.0ms (1% of total)adjust: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))> |
#<alt (fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)> |
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))> |
#<alt (*.f32 normAngle (cos.f32 normAngle))> |
#<alt (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))> |
#<alt (-.f32 #s(literal 1 binary32) u)> |
#<alt (*.f32 u n1_i)> |
#<alt (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))> |
#<alt (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))> |
#<alt (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))> |
#<alt (fma.f32 u (neg.f32 normAngle) normAngle)> |
#<alt (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))> |
#<alt (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))> |
#<alt (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)> |
#<alt (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))> |
#<alt (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i))> |
#<alt (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))> |
#<alt (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))> |
#<alt (/.f32 n1_i (sin.f32 normAngle))> |
#<alt (neg.f32 normAngle)> |
#<alt (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))> |
#<alt (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))> |
#<alt (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))> |
#<alt (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))> |
| Outputs |
|---|
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))> |
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))> |
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))> |
#<alt (+ n1_i (* -1 n0_i))> |
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i)))))> |
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))> |
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* (pow normAngle 2) (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))> |
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))> |
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))> |
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))> |
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))> |
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))> |
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))> |
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))> |
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))> |
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))> |
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))> |
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))> |
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))> |
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))> |
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))> |
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))> |
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))> |
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))> |
#<alt (* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))> |
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))> |
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))))> |
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))> |
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))> |
#<alt (* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))> |
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))> |
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))> |
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))> |
#<alt (* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))> |
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))> |
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))> |
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))> |
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))> |
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))> |
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))> |
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))> |
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))> |
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))> |
#<alt -1> |
#<alt (- (* 1/3 (pow normAngle 2)) 1)> |
#<alt (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)> |
#<alt (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)> |
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))> |
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))> |
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))> |
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))> |
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))> |
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))> |
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))> |
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))> |
#<alt normAngle> |
#<alt (* normAngle (+ 1 (* -1/2 (pow normAngle 2))))> |
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2))))> |
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2))))> |
#<alt (* normAngle (cos normAngle))> |
#<alt (* normAngle (cos normAngle))> |
#<alt (* normAngle (cos normAngle))> |
#<alt (* normAngle (cos normAngle))> |
#<alt (* normAngle (cos normAngle))> |
#<alt (* normAngle (cos normAngle))> |
#<alt (* normAngle (cos normAngle))> |
#<alt (* normAngle (cos normAngle))> |
#<alt (* n1_i u)> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))> |
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))> |
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))> |
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))> |
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))> |
#<alt (* u (+ n1_i (* -1 n0_i)))> |
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))> |
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))> |
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))> |
#<alt (* -1 (* u (+ n0_i (* -1 n1_i))))> |
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))> |
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))> |
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))> |
#<alt (* n0_i (- 1 u))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (* n1_i u)> |
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))> |
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))> |
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))> |
#<alt (* n1_i u)> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 u))> |
#<alt (+ 1 (* -1 u))> |
#<alt (+ 1 (* -1 u))> |
#<alt (* -1 u)> |
#<alt (* u (- (/ 1 u) 1))> |
#<alt (* u (- (/ 1 u) 1))> |
#<alt (* u (- (/ 1 u) 1))> |
#<alt (* -1 u)> |
#<alt (* -1 (* u (- 1 (/ 1 u))))> |
#<alt (* -1 (* u (- 1 (/ 1 u))))> |
#<alt (* -1 (* u (- 1 (/ 1 u))))> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt n0_i> |
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (* n0_i (+ 1 (* -1 u)))> |
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))> |
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))> |
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))> |
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))> |
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))> |
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))> |
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))> |
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))> |
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))> |
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))> |
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))> |
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))> |
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))> |
#<alt (+ 1 (* -1 u))> |
#<alt (+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))> |
#<alt (+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))> |
#<alt (+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))> |
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))> |
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))> |
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))> |
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))> |
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))> |
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))> |
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))> |
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))> |
#<alt (sin normAngle)> |
#<alt (+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))> |
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))> |
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))> |
#<alt (sin (+ normAngle (* -1 (* normAngle u))))> |
#<alt (sin (+ normAngle (* -1 (* normAngle u))))> |
#<alt (sin (+ normAngle (* -1 (* normAngle u))))> |
#<alt (sin (+ normAngle (* -1 (* normAngle u))))> |
#<alt (sin (+ normAngle (* -1 (* normAngle u))))> |
#<alt (sin (+ normAngle (* -1 (* normAngle u))))> |
#<alt (sin (+ normAngle (* -1 (* normAngle u))))> |
#<alt (sin (+ normAngle (* -1 (* normAngle u))))> |
#<alt (* normAngle (+ 1 (* -1 u)))> |
#<alt (* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))> |
#<alt (* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))> |
#<alt (* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))> |
#<alt (sin (+ normAngle (* -1 (* normAngle u))))> |
#<alt (sin (+ normAngle (* -1 (* normAngle u))))> |
#<alt (sin (+ normAngle (* -1 (* normAngle u))))> |
#<alt (sin (+ normAngle (* -1 (* normAngle u))))> |
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))> |
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))> |
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))> |
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))> |
#<alt normAngle> |
#<alt (+ normAngle (* -1 (* normAngle u)))> |
#<alt (+ normAngle (* -1 (* normAngle u)))> |
#<alt (+ normAngle (* -1 (* normAngle u)))> |
#<alt (* -1 (* normAngle u))> |
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))> |
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))> |
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))> |
#<alt (* -1 (* normAngle u))> |
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))> |
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))> |
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))> |
#<alt (* normAngle (+ 1 (* -1 u)))> |
#<alt (* normAngle (+ 1 (* -1 u)))> |
#<alt (* normAngle (+ 1 (* -1 u)))> |
#<alt (* normAngle (+ 1 (* -1 u)))> |
#<alt (* normAngle (+ 1 (* -1 u)))> |
#<alt (* normAngle (+ 1 (* -1 u)))> |
#<alt (* normAngle (+ 1 (* -1 u)))> |
#<alt (* normAngle (+ 1 (* -1 u)))> |
#<alt (* -1 (* normAngle (- u 1)))> |
#<alt (* -1 (* normAngle (- u 1)))> |
#<alt (* -1 (* normAngle (- u 1)))> |
#<alt (* -1 (* normAngle (- u 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))> |
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))> |
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))> |
#<alt (- 1 u)> |
#<alt (- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)> |
#<alt (- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)> |
#<alt (- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle)))))))))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u)))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))> |
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))> |
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))> |
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))> |
#<alt n0_i> |
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))> |
#<alt (* n0_i (- 1 u))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (sin normAngle)> |
#<alt (+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))> |
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))> |
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (+ 1 (* -1 u))))> |
#<alt (sin (* normAngle (+ 1 (* -1 u))))> |
#<alt (sin (* normAngle (+ 1 (* -1 u))))> |
#<alt (sin (* normAngle (+ 1 (* -1 u))))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))> |
#<alt (* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))> |
#<alt (* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))) (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6)))))))))))> |
#<alt (* 1/120 (* n1_i (* (pow normAngle 4) (pow u 5))))> |
#<alt (* (pow u 5) (+ (* 1/120 (* n1_i (pow normAngle 4))) (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))) (pow u 2))))> |
#<alt (* (pow u 5) (+ (* 1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))) (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (pow u 4)))))> |
#<alt (* (pow u 5) (+ (* 1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 5) (sin normAngle))) (+ (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))) (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (pow u 4))))))> |
#<alt (* 1/120 (* n1_i (* (pow normAngle 4) (pow u 5))))> |
#<alt (* -1 (* (pow u 5) (+ (* -1/120 (* n1_i (pow normAngle 4))) (/ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 1/36 (pow normAngle 2))))) (pow u 2)))))> |
#<alt (* -1 (* (pow u 5) (+ (* -1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 1/36 (pow normAngle 2))))) (pow u 2)) (/ (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)) (pow u 4))))))> |
#<alt (* -1 (* (pow u 5) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 5) (sin normAngle)))) (+ (* -1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 1/36 (pow normAngle 2))))) (pow u 2)) (/ (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)) (pow u 4)))))))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u)))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))> |
#<alt (* n1_i (* (pow normAngle 4) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))> |
#<alt (* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))> |
#<alt (* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))))> |
#<alt (* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))))> |
#<alt (* n1_i (* (pow normAngle 4) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))> |
#<alt (* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))> |
#<alt (* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))))> |
#<alt (* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2))))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))))))> |
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i)))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))))))> |
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))> |
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))> |
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))> |
#<alt (* 7/360 u)> |
#<alt (* u (+ 7/360 (* -1/36 (pow u 2))))> |
#<alt (* u (+ 7/360 (* (pow u 2) (- (* 1/120 (pow u 2)) 1/36))))> |
#<alt (* u (+ 7/360 (* (pow u 2) (- (* 1/120 (pow u 2)) 1/36))))> |
#<alt (* 1/120 (pow u 5))> |
#<alt (* (pow u 5) (- 1/120 (* 1/36 (/ 1 (pow u 2)))))> |
#<alt (* (pow u 5) (- (+ 1/120 (/ 7/360 (pow u 4))) (* 1/36 (/ 1 (pow u 2)))))> |
#<alt (* (pow u 5) (- (+ 1/120 (/ 7/360 (pow u 4))) (* 1/36 (/ 1 (pow u 2)))))> |
#<alt (* 1/120 (pow u 5))> |
#<alt (* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) 1/120)))> |
#<alt (* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) (+ 1/120 (/ 7/360 (pow u 4))))))> |
#<alt (* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) (+ 1/120 (/ 7/360 (pow u 4))))))> |
#<alt n1_i> |
#<alt (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))> |
#<alt (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))> |
#<alt (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i normAngle)> |
#<alt (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)> |
#<alt (/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)> |
#<alt (/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (* -1 normAngle)> |
#<alt (* -1 normAngle)> |
#<alt (* -1 normAngle)> |
#<alt (* -1 normAngle)> |
#<alt (* -1 normAngle)> |
#<alt (* -1 normAngle)> |
#<alt (* -1 normAngle)> |
#<alt (* -1 normAngle)> |
#<alt (* -1 normAngle)> |
#<alt (* -1 normAngle)> |
#<alt (* -1 normAngle)> |
#<alt (* -1 normAngle)> |
#<alt (* 1/6 u)> |
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))> |
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))> |
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))> |
#<alt (* -1/6 (pow u 3))> |
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* -1/6 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))> |
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))> |
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/6 (pow u 2)))> |
#<alt (+ 1/6 (* -1/6 (pow u 2)))> |
#<alt (+ 1/6 (* -1/6 (pow u 2)))> |
#<alt (* -1/6 (pow u 2))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* -1/6 (pow u 2))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* u (+ 1/6 (* 7/360 (pow normAngle 2))))> |
#<alt (* u (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* (pow u 2) (- (* -1/36 (pow normAngle 2)) 1/6)))))> |
#<alt (* u (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* (pow u 2) (- (+ (* -1/36 (pow normAngle 2)) (* 1/120 (* (pow normAngle 2) (pow u 2)))) 1/6)))))> |
#<alt (* u (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* (pow u 2) (- (+ (* -1/36 (pow normAngle 2)) (* 1/120 (* (pow normAngle 2) (pow u 2)))) 1/6)))))> |
#<alt (* 1/120 (* (pow normAngle 2) (pow u 5)))> |
#<alt (* (pow u 5) (- (+ (* -1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/120 (pow normAngle 2))) (* 1/6 (/ 1 (pow u 2)))))> |
#<alt (* (pow u 5) (- (+ (* -1/36 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/120 (pow normAngle 2)) (+ (* 7/360 (/ (pow normAngle 2) (pow u 4))) (/ 1/6 (pow u 4))))) (* 1/6 (/ 1 (pow u 2)))))> |
#<alt (* (pow u 5) (- (+ (* -1/36 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/120 (pow normAngle 2)) (+ (* 7/360 (/ (pow normAngle 2) (pow u 4))) (/ 1/6 (pow u 4))))) (* 1/6 (/ 1 (pow u 2)))))> |
#<alt (* 1/120 (* (pow normAngle 2) (pow u 5)))> |
#<alt (* -1 (* (pow u 5) (+ (* -1/120 (pow normAngle 2)) (+ (* 1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))))> |
#<alt (* -1 (* (pow u 5) (- (+ (* -7/360 (/ (pow normAngle 2) (pow u 4))) (+ (* -1/120 (pow normAngle 2)) (+ (* 1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))) (/ 1/6 (pow u 4)))))> |
#<alt (* -1 (* (pow u 5) (- (+ (* -7/360 (/ (pow normAngle 2) (pow u 4))) (+ (* -1/120 (pow normAngle 2)) (+ (* 1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))) (/ 1/6 (pow u 4)))))> |
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))> |
#<alt (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))> |
#<alt (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))> |
#<alt (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))> |
#<alt (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))> |
#<alt (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2)))))> |
#<alt (* 1/36 u)> |
#<alt (* u (+ 1/36 (* -1/36 (pow u 2))))> |
#<alt (* u (+ 1/36 (* -1/36 (pow u 2))))> |
#<alt (* u (+ 1/36 (* -1/36 (pow u 2))))> |
#<alt (* -1/36 (pow u 3))> |
#<alt (* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36))> |
#<alt (* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36))> |
#<alt (* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36))> |
#<alt (* -1/36 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2))))))> |
#<alt (* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2))))))> |
#<alt (* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2))))))> |
150 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | normAngle | @ | inf | (/ (* normAngle (cos normAngle)) (neg (sin normAngle))) |
| 6.0ms | normAngle | @ | 0 | (/ (sin (+ (* u (neg normAngle)) normAngle)) (sin normAngle)) |
| 4.0ms | normAngle | @ | -inf | (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) |
| 2.0ms | u | @ | inf | (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (+ (* (* normAngle normAngle) (+ (* u (+ (* (* u u) -1/6) 1/6)) (* (* normAngle normAngle) (+ (* 1/120 (- (pow u 5) u)) (* -1/36 (* u (+ (* u u) -1))))))) u) n1_i)) |
| 2.0ms | normAngle | @ | inf | (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) |
| 1× | batch-egg-rewrite |
| 5 110× | lower-*.f64 |
| 5 080× | lower-*.f32 |
| 4 796× | lower-fma.f64 |
| 4 776× | lower-fma.f32 |
| 2 834× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 275 |
| 0 | 99 | 267 |
| 1 | 401 | 267 |
| 2 | 3203 | 265 |
| 0 | 8127 | 261 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) |
(*.f32 normAngle (cos.f32 normAngle)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(-.f32 #s(literal 1 binary32) u) |
(*.f32 u n1_i) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i)) |
(fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) |
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) |
(/.f32 n1_i (sin.f32 normAngle)) |
(neg.f32 normAngle) |
(*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) |
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) |
(fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) |
(*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) |
| Outputs |
|---|
(+.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(+.f32 (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(pow.f32 (/.f32 (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 normAngle n1_i) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)))) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32)))) (+.f32 (pow.f32 (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 (-.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)) (-.f32 (*.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))) #s(literal -1 binary32)) |
(fma.f32 n0_i (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(fma.f32 normAngle (*.f32 (/.f32 (cos.f32 normAngle) (neg.f32 (sin.f32 normAngle))) n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) n0_i (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) normAngle) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(fma.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (*.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(fma.f32 (/.f32 n0_i #s(literal -1 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (*.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (neg.f32 (sin.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(-.f32 (/.f32 (*.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (-.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) (/.f32 (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (/.f32 (-.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 normAngle n1_i) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)))) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32)))) (+.f32 (pow.f32 (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)) (-.f32 (*.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))))) |
(/.f32 (+.f32 (pow.f32 (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 normAngle n1_i) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)))) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))))) |
(/.f32 (+.f32 (pow.f32 (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32))) (+.f32 (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (-.f32 (*.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (*.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))))) |
(/.f32 (-.f32 (*.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))) (/.f32 (-.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) |
(/.f32 (fma.f32 (*.f32 normAngle n1_i) (neg.f32 (sin.f32 normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)))) (*.f32 (sin.f32 normAngle) (neg.f32 (sin.f32 normAngle)))) |
(/.f32 (fma.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle) (*.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle n1_i))) (*.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 normAngle))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 normAngle n1_i) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)))) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32)))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))) (neg.f32 (/.f32 (-.f32 (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)))) |
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (*.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32)))) (/.f32 (-.f32 (*.f32 normAngle n1_i) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)))) (sin.f32 normAngle))) |
(/.f32 (fma.f32 normAngle (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) n0_i)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(/.f32 (fma.f32 normAngle (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))))) |
(/.f32 (fma.f32 normAngle (neg.f32 (sin.f32 normAngle)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (sin.f32 normAngle)))) |
(/.f32 (fma.f32 normAngle (sin.f32 normAngle) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle))) |
(/.f32 (fma.f32 normAngle (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 n0_i #s(literal 1 binary32)))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(/.f32 (fma.f32 normAngle (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 #s(literal 1 binary32) n0_i))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(/.f32 (fma.f32 normAngle (sin.f32 normAngle) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle))) |
(/.f32 (fma.f32 normAngle (sin.f32 normAngle) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (*.f32 (cos.f32 normAngle) (neg.f32 normAngle)) n0_i))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle))) |
(/.f32 (fma.f32 normAngle (sin.f32 normAngle) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) #s(literal -1 binary32)))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle))) |
(/.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) n0_i)) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) #s(literal 1 binary32))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))))) |
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (neg.f32 (sin.f32 normAngle)))) |
(/.f32 (+.f32 (sin.f32 normAngle) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) |
(/.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (*.f32 n0_i #s(literal 1 binary32)))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(/.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (*.f32 #s(literal 1 binary32) n0_i))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(/.f32 (+.f32 (sin.f32 normAngle) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) |
(/.f32 (+.f32 (sin.f32 normAngle) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (*.f32 (*.f32 (cos.f32 normAngle) (neg.f32 normAngle)) n0_i))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) |
(/.f32 (+.f32 (sin.f32 normAngle) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) #s(literal -1 binary32)))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) |
(/.f32 (fma.f32 (*.f32 normAngle n1_i) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (*.f32 (sin.f32 normAngle) n0_i)) (*.f32 (sin.f32 normAngle) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(/.f32 (fma.f32 (*.f32 normAngle n1_i) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))) (sin.f32 normAngle)) (*.f32 (sin.f32 normAngle) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))))) |
(/.f32 (fma.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (neg.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) |
(/.f32 (fma.f32 (*.f32 normAngle n1_i) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 n0_i #s(literal 1 binary32)))) (*.f32 (sin.f32 normAngle) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(/.f32 (fma.f32 (*.f32 normAngle n1_i) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 #s(literal 1 binary32) n0_i))) (*.f32 (sin.f32 normAngle) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(/.f32 (fma.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 n0_i (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) |
(/.f32 (fma.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) (neg.f32 normAngle)) n0_i))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) |
(/.f32 (fma.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) #s(literal -1 binary32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) |
(/.f32 (fma.f32 (neg.f32 (*.f32 normAngle n1_i)) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (*.f32 (neg.f32 (sin.f32 normAngle)) n0_i)) (*.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
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(/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 (pow.f32 u #s(literal 5 binary32)) u) #s(literal 2 binary32)) (neg.f32 (*.f32 #s(literal 1/1296 binary32) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) (*.f32 normAngle normAngle)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) (-.f32 (*.f32 (*.f32 u #s(literal 1/6 binary32)) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) (*.f32 u #s(literal 1/6 binary32))))) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32))) (*.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32))))) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) (-.f32 (*.f32 (*.f32 u #s(literal 1/6 binary32)) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) (*.f32 u #s(literal 1/6 binary32))))))) |
(/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 (pow.f32 u #s(literal 5 binary32)) u) #s(literal 2 binary32)) (neg.f32 (*.f32 #s(literal 1/1296 binary32) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u)))) (*.f32 (*.f32 u #s(literal 1/6 binary32)) (*.f32 u #s(literal 1/6 binary32)))))) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) (*.f32 u #s(literal 1/6 binary32))))) |
(/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 (pow.f32 u #s(literal 5 binary32)) u) #s(literal 2 binary32)) (neg.f32 (*.f32 #s(literal 1/1296 binary32) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) (*.f32 normAngle normAngle)) (-.f32 (fma.f32 (*.f32 u (*.f32 u (*.f32 u u))) #s(literal 1/36 binary32) #s(literal 1/36 binary32)) (*.f32 (*.f32 u u) #s(literal -1/36 binary32))) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))))) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (-.f32 (fma.f32 (*.f32 u (*.f32 u (*.f32 u u))) #s(literal 1/36 binary32) #s(literal 1/36 binary32)) (*.f32 (*.f32 u u) #s(literal -1/36 binary32))))) |
(/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 (pow.f32 u #s(literal 5 binary32)) u) #s(literal 2 binary32)) (neg.f32 (*.f32 #s(literal 1/1296 binary32) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) (*.f32 normAngle normAngle)) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 (*.f32 u (*.f32 u (*.f32 u u))) #s(literal 1/36 binary32) #s(literal -1/36 binary32))))) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) |
(/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 (pow.f32 u #s(literal 5 binary32)) u) #s(literal 2 binary32)) (neg.f32 (*.f32 #s(literal 1/1296 binary32) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) (*.f32 normAngle normAngle)) (-.f32 (fma.f32 (*.f32 u (*.f32 u (*.f32 u u))) #s(literal 1/36 binary32) #s(literal 1/36 binary32)) (*.f32 (*.f32 u u) #s(literal -1/36 binary32))) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) u))) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (-.f32 (fma.f32 (*.f32 u (*.f32 u (*.f32 u u))) #s(literal 1/36 binary32) #s(literal 1/36 binary32)) (*.f32 (*.f32 u u) #s(literal -1/36 binary32))))) |
(/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 (pow.f32 u #s(literal 5 binary32)) u) #s(literal 2 binary32)) (neg.f32 (*.f32 #s(literal 1/1296 binary32) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) (*.f32 normAngle normAngle)) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (fma.f32 (*.f32 u (*.f32 u (*.f32 u u))) #s(literal 1/36 binary32) #s(literal -1/36 binary32)) u))) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) |
(/.f32 (-.f32 (*.f32 (*.f32 u (*.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) (fma.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/36 binary32))))))) (*.f32 (fma.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/36 binary32)))))) (pow.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/36 binary32))))) #s(literal 2 binary32)))) (*.f32 (fma.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/36 binary32)))))) (fma.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/36 binary32)))))))) |
(*.f32 (fma.f32 (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 u (*.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) (pow.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/36 binary32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u (*.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) (*.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/36 binary32))))) (-.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/36 binary32))))) (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))))))) |
(*.f32 (-.f32 (*.f32 u (*.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) (pow.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/36 binary32))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/36 binary32)))))))) |
(+.f32 (*.f32 #s(literal -1/36 binary32) (*.f32 u (*.f32 u u))) (*.f32 #s(literal -1/36 binary32) (neg.f32 u))) |
(+.f32 (*.f32 (*.f32 u #s(literal -1/36 binary32)) (*.f32 u u)) (*.f32 (*.f32 u #s(literal -1/36 binary32)) #s(literal -1 binary32))) |
(+.f32 (*.f32 (*.f32 u #s(literal -1/36 binary32)) #s(literal -1 binary32)) (*.f32 (*.f32 u #s(literal -1/36 binary32)) (*.f32 u u))) |
(+.f32 (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/36 binary32)) (*.f32 (neg.f32 u) #s(literal -1/36 binary32))) |
(+.f32 (*.f32 (*.f32 u u) (*.f32 u #s(literal -1/36 binary32))) (*.f32 #s(literal -1 binary32) (*.f32 u #s(literal -1/36 binary32)))) |
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 u #s(literal -1/36 binary32))) (*.f32 (*.f32 u u) (*.f32 u #s(literal -1/36 binary32)))) |
(fma.f32 (*.f32 u u) (*.f32 u #s(literal -1/36 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 u #s(literal -1/36 binary32)))) |
(fma.f32 #s(literal -1/36 binary32) (*.f32 u (*.f32 u u)) (*.f32 #s(literal -1/36 binary32) (neg.f32 u))) |
(fma.f32 #s(literal -1 binary32) (*.f32 u #s(literal -1/36 binary32)) (*.f32 (*.f32 u u) (*.f32 u #s(literal -1/36 binary32)))) |
(fma.f32 (*.f32 u (*.f32 u u)) #s(literal -1/36 binary32) (*.f32 (neg.f32 u) #s(literal -1/36 binary32))) |
(fma.f32 (*.f32 u #s(literal -1/36 binary32)) (*.f32 u u) (*.f32 (*.f32 u #s(literal -1/36 binary32)) #s(literal -1 binary32))) |
(fma.f32 (*.f32 u #s(literal -1/36 binary32)) #s(literal -1 binary32) (*.f32 (*.f32 u #s(literal -1/36 binary32)) (*.f32 u u))) |
(/.f32 (*.f32 (*.f32 u #s(literal -1/36 binary32)) (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u)) #s(literal -1 binary32))) (-.f32 (fma.f32 u (*.f32 u (*.f32 u u)) #s(literal 1 binary32)) (*.f32 u (neg.f32 u)))) |
(/.f32 (*.f32 (*.f32 u #s(literal -1/36 binary32)) (fma.f32 u (*.f32 u (*.f32 u u)) #s(literal -1 binary32))) (fma.f32 u u #s(literal 1 binary32))) |
(*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/36 binary32))) |
(*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) |
(*.f32 (fma.f32 u u #s(literal -1 binary32)) (*.f32 u #s(literal -1/36 binary32))) |
(*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32)) |
(*.f32 (*.f32 u #s(literal -1/36 binary32)) (fma.f32 u u #s(literal -1 binary32))) |
(*.f32 (*.f32 #s(literal -1/36 binary32) (fma.f32 u u #s(literal -1 binary32))) u) |
(*.f32 (*.f32 (*.f32 u #s(literal -1/36 binary32)) (+.f32 u #s(literal 1 binary32))) (+.f32 u #s(literal -1 binary32))) |
| 1× | egg-herbie |
| 14 352× | lower-fma.f64 |
| 14 352× | lower-fma.f32 |
| 7 880× | lower-*.f64 |
| 7 880× | lower-*.f32 |
| 5 558× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 854 | 10581 |
| 1 | 2953 | 10039 |
| 0 | 8941 | 9443 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(+ n1_i (* -1 n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* (pow normAngle 2) (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i))))) |
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) |
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) |
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) |
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) |
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))) |
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))) |
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))) |
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i)))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))))))) |
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))) |
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle))) |
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle))) |
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle))) |
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
-1 |
(- (* 1/3 (pow normAngle 2)) 1) |
(- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1) |
(- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
normAngle |
(* normAngle (+ 1 (* -1/2 (pow normAngle 2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2)))) |
(* normAngle (cos normAngle)) |
(* normAngle (cos normAngle)) |
(* normAngle (cos normAngle)) |
(* normAngle (cos normAngle)) |
(* normAngle (cos normAngle)) |
(* normAngle (cos normAngle)) |
(* normAngle (cos normAngle)) |
(* normAngle (cos normAngle)) |
(* n1_i u) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(* n0_i (- 1 u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (- 1 u)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
n0_i |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(* n1_i u) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i u) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
1 |
(+ 1 (* -1 u)) |
(+ 1 (* -1 u)) |
(+ 1 (* -1 u)) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (- (/ 1 u) 1)) |
(* u (- (/ 1 u) 1)) |
(* -1 u) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(* n0_i (+ 1 (* -1 u))) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) |
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) |
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) |
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(+ 1 (* -1 u)) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))))) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u))))))) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u))))))) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle)) |
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle)) |
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle)) |
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle)) |
(sin normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle))))))))) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(* normAngle (+ 1 (* -1 u))) |
(* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3)))))) |
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5)))))))) |
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5))))))))) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin (- (* -1 (* normAngle u)) (* -1 normAngle))) |
(sin (- (* -1 (* normAngle u)) (* -1 normAngle))) |
(sin (- (* -1 (* normAngle u)) (* -1 normAngle))) |
(sin (- (* -1 (* normAngle u)) (* -1 normAngle))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(+ normAngle (* -1 (* normAngle u))) |
(+ normAngle (* -1 (* normAngle u))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* -1 (* normAngle u)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* normAngle (+ 1 (* -1 u))) |
(* normAngle (+ 1 (* -1 u))) |
(* normAngle (+ 1 (* -1 u))) |
(* normAngle (+ 1 (* -1 u))) |
(* normAngle (+ 1 (* -1 u))) |
(* normAngle (+ 1 (* -1 u))) |
(* normAngle (+ 1 (* -1 u))) |
(* normAngle (+ 1 (* -1 u))) |
(* -1 (* normAngle (- u 1))) |
(* -1 (* normAngle (- u 1))) |
(* -1 (* normAngle (- u 1))) |
(* -1 (* normAngle (- u 1))) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(- 1 u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u))))))) |
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(sin normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle))))))))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(* normAngle (- 1 u)) |
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u)) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))) (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))))))))))) |
(* 1/120 (* n1_i (* (pow normAngle 4) (pow u 5)))) |
(* (pow u 5) (+ (* 1/120 (* n1_i (pow normAngle 4))) (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))) (pow u 2)))) |
(* (pow u 5) (+ (* 1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))) (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (pow u 4))))) |
(* (pow u 5) (+ (* 1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 5) (sin normAngle))) (+ (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))) (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (pow u 4)))))) |
(* 1/120 (* n1_i (* (pow normAngle 4) (pow u 5)))) |
(* -1 (* (pow u 5) (+ (* -1/120 (* n1_i (pow normAngle 4))) (/ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 1/36 (pow normAngle 2))))) (pow u 2))))) |
(* -1 (* (pow u 5) (+ (* -1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 1/36 (pow normAngle 2))))) (pow u 2)) (/ (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)) (pow u 4)))))) |
(* -1 (* (pow u 5) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 5) (sin normAngle)))) (+ (* -1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 1/36 (pow normAngle 2))))) (pow u 2)) (/ (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)) (pow u 4))))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u))))))) |
(* n1_i (* (pow normAngle 4) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))) |
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2)))) |
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2)))))) |
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2)))))) |
(* n1_i (* (pow normAngle 4) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))) |
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2)))) |
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2)))))) |
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2)))))) |
(* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* 7/360 u) |
(* u (+ 7/360 (* -1/36 (pow u 2)))) |
(* u (+ 7/360 (* (pow u 2) (- (* 1/120 (pow u 2)) 1/36)))) |
(* u (+ 7/360 (* (pow u 2) (- (* 1/120 (pow u 2)) 1/36)))) |
(* 1/120 (pow u 5)) |
(* (pow u 5) (- 1/120 (* 1/36 (/ 1 (pow u 2))))) |
(* (pow u 5) (- (+ 1/120 (/ 7/360 (pow u 4))) (* 1/36 (/ 1 (pow u 2))))) |
(* (pow u 5) (- (+ 1/120 (/ 7/360 (pow u 4))) (* 1/36 (/ 1 (pow u 2))))) |
(* 1/120 (pow u 5)) |
(* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) 1/120))) |
(* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) (+ 1/120 (/ 7/360 (pow u 4)))))) |
(* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) (+ 1/120 (/ 7/360 (pow u 4)))))) |
n1_i |
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) |
(+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) |
(+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(* -1 normAngle) |
(* -1 normAngle) |
(* -1 normAngle) |
(* -1 normAngle) |
(* -1 normAngle) |
(* -1 normAngle) |
(* -1 normAngle) |
(* -1 normAngle) |
(* -1 normAngle) |
(* -1 normAngle) |
(* -1 normAngle) |
(* -1 normAngle) |
(* 1/6 u) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(* -1/6 (pow u 3)) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* -1/6 (pow u 3)) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
1/6 |
(+ 1/6 (* -1/6 (pow u 2))) |
(+ 1/6 (* -1/6 (pow u 2))) |
(+ 1/6 (* -1/6 (pow u 2))) |
(* -1/6 (pow u 2)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* -1/6 (pow u 2)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* u (+ 1/6 (* 7/360 (pow normAngle 2)))) |
(* u (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* (pow u 2) (- (* -1/36 (pow normAngle 2)) 1/6))))) |
(* u (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* (pow u 2) (- (+ (* -1/36 (pow normAngle 2)) (* 1/120 (* (pow normAngle 2) (pow u 2)))) 1/6))))) |
(* u (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* (pow u 2) (- (+ (* -1/36 (pow normAngle 2)) (* 1/120 (* (pow normAngle 2) (pow u 2)))) 1/6))))) |
(* 1/120 (* (pow normAngle 2) (pow u 5))) |
(* (pow u 5) (- (+ (* -1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/120 (pow normAngle 2))) (* 1/6 (/ 1 (pow u 2))))) |
(* (pow u 5) (- (+ (* -1/36 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/120 (pow normAngle 2)) (+ (* 7/360 (/ (pow normAngle 2) (pow u 4))) (/ 1/6 (pow u 4))))) (* 1/6 (/ 1 (pow u 2))))) |
(* (pow u 5) (- (+ (* -1/36 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/120 (pow normAngle 2)) (+ (* 7/360 (/ (pow normAngle 2) (pow u 4))) (/ 1/6 (pow u 4))))) (* 1/6 (/ 1 (pow u 2))))) |
(* 1/120 (* (pow normAngle 2) (pow u 5))) |
(* -1 (* (pow u 5) (+ (* -1/120 (pow normAngle 2)) (+ (* 1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2))))))) |
(* -1 (* (pow u 5) (- (+ (* -7/360 (/ (pow normAngle 2) (pow u 4))) (+ (* -1/120 (pow normAngle 2)) (+ (* 1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))) (/ 1/6 (pow u 4))))) |
(* -1 (* (pow u 5) (- (+ (* -7/360 (/ (pow normAngle 2) (pow u 4))) (+ (* -1/120 (pow normAngle 2)) (+ (* 1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))) (/ 1/6 (pow u 4))))) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))) |
(+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))) |
(+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))) |
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) |
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) |
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2))))) |
(* 1/36 u) |
(* u (+ 1/36 (* -1/36 (pow u 2)))) |
(* u (+ 1/36 (* -1/36 (pow u 2)))) |
(* u (+ 1/36 (* -1/36 (pow u 2)))) |
(* -1/36 (pow u 3)) |
(* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36)) |
(* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36)) |
(* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36)) |
(* -1/36 (pow u 3)) |
(* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2)))))) |
(* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2)))))) |
(* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2)))))) |
| Outputs |
|---|
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(*.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(*.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(*.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (neg.f32 n0_i)) |
(+ n1_i (* -1 n0_i)) |
(-.f32 n1_i n0_i) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))) |
(fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* (pow normAngle 2) (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (*.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (neg.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) |
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) |
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) |
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) |
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) |
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))) |
(*.f32 (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 normAngle)) |
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))) |
(*.f32 (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 normAngle)) |
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))) |
(*.f32 (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 normAngle)) |
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))) |
(*.f32 (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 normAngle)) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(*.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle)))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(*.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle)))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(*.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle)))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(*.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(*.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(*.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) u n0_i) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) u) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n0_i u)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n0_i u)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n0_i u)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) u) |
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))))) |
(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n0_i u))))) |
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))))) |
(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n0_i u))))) |
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))))) |
(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n0_i u))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i)) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i)) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i)) |
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(fma.f32 n0_i (fma.f32 n1_i (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle)))) n0_i) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(fma.f32 n0_i (fma.f32 n1_i (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle)))) n0_i) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(fma.f32 n0_i (fma.f32 n1_i (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle)))) n0_i) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(*.f32 (neg.f32 n0_i) (fma.f32 normAngle (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) #s(literal -1 binary32))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(*.f32 (neg.f32 n0_i) (fma.f32 normAngle (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) (fma.f32 (neg.f32 n1_i) (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32)))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(*.f32 (neg.f32 n0_i) (fma.f32 normAngle (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) (fma.f32 (neg.f32 n1_i) (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32)))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(*.f32 (neg.f32 n0_i) (fma.f32 normAngle (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) (fma.f32 (neg.f32 n1_i) (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32)))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i)))))) |
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (*.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (*.f32 normAngle (*.f32 normAngle u)) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u)) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))) |
(*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 normAngle u)) |
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle))) |
(*.f32 normAngle (fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i normAngle))) |
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle))) |
(*.f32 normAngle (fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i normAngle))) |
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle))) |
(*.f32 normAngle (fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i normAngle))) |
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))) |
(*.f32 (*.f32 normAngle (neg.f32 u)) (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))) |
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i (neg.f32 normAngle))) (neg.f32 normAngle)) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))) |
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i (neg.f32 normAngle))) (neg.f32 normAngle)) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))) |
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i (neg.f32 normAngle))) (neg.f32 normAngle)) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(fma.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i)) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(fma.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i)) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(fma.f32 n1_i (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(*.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i)))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(*.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i)))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(*.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i)))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i) n1_i)))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i) n1_i)))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i) n1_i)))) |
-1 |
#s(literal -1 binary32) |
(- (* 1/3 (pow normAngle 2)) 1) |
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) |
(- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) |
(- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) #s(literal 1/3 binary32)) #s(literal -1 binary32)) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) |
normAngle |
(* normAngle (+ 1 (* -1/2 (pow normAngle 2)))) |
(fma.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2)))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/24 binary32) #s(literal -1/2 binary32)) normAngle) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2)))) |
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/720 binary32) #s(literal 1/24 binary32)) #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle normAngle)) normAngle) |
(* normAngle (cos normAngle)) |
(*.f32 normAngle (cos.f32 normAngle)) |
(* normAngle (cos normAngle)) |
(*.f32 normAngle (cos.f32 normAngle)) |
(* normAngle (cos normAngle)) |
(*.f32 normAngle (cos.f32 normAngle)) |
(* normAngle (cos normAngle)) |
(*.f32 normAngle (cos.f32 normAngle)) |
(* normAngle (cos normAngle)) |
(*.f32 normAngle (cos.f32 normAngle)) |
(* normAngle (cos normAngle)) |
(*.f32 normAngle (cos.f32 normAngle)) |
(* normAngle (cos normAngle)) |
(*.f32 normAngle (cos.f32 normAngle)) |
(* normAngle (cos normAngle)) |
(*.f32 normAngle (cos.f32 normAngle)) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(* n0_i (- 1 u)) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
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(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))) |
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(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))) |
(* n0_i (- 1 u)) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
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(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))) |
n0_i |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(neg.f32 (*.f32 u (-.f32 n0_i n1_i))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(*.f32 (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) (neg.f32 u)) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(*.f32 (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) (neg.f32 u)) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(*.f32 (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) (neg.f32 u)) |
(* n0_i (- 1 u)) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(* n1_i u) |
(*.f32 n1_i u) |
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(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(* n1_i u) |
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(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) |
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(*.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(* -1 u) |
(neg.f32 u) |
(* u (- (/ 1 u) 1)) |
(fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) |
(* u (- (/ 1 u) 1)) |
(fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) |
(* u (- (/ 1 u) 1)) |
(fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) |
(* -1 u) |
(neg.f32 u) |
(* -1 (* u (- 1 (/ 1 u)))) |
(neg.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(neg.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(neg.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)))) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i u) |
(*.f32 n1_i u) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(fma.f32 u (fma.f32 u (fma.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))) (neg.f32 (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))) n0_i) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(* n0_i (+ 1 (* -1 u))) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (fma.f32 n0_i (neg.f32 u) n0_i)) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 n0_i (neg.f32 u) n0_i)) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))))) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 n0_i (neg.f32 u) n0_i)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(fma.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 u (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal -1/2 binary32)))) #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(fma.f32 u (fma.f32 u (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) (neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) #s(literal 1 binary32)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (-.f32 #s(literal 1 binary32) u)) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) u)) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))) (fma.f32 #s(literal -1/720 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) u)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(sin normAngle) |
(sin.f32 normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(fma.f32 normAngle (neg.f32 (*.f32 (cos.f32 normAngle) u)) (sin.f32 normAngle)) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(fma.f32 u (fma.f32 (cos.f32 normAngle) (neg.f32 normAngle) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 normAngle) u)))) (sin.f32 normAngle)) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle))))))))) |
(fma.f32 u (fma.f32 u (fma.f32 (sin.f32 normAngle) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (*.f32 (*.f32 (cos.f32 normAngle) u) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(* normAngle (+ 1 (* -1 u))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3)))))) |
(fma.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 u)) normAngle) |
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5)))))))) |
(fma.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle) |
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5))))))))) |
(fma.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (+ normAngle (* -1 (* normAngle u)))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (- (* -1 (* normAngle u)) (* -1 normAngle))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (- (* -1 (* normAngle u)) (* -1 normAngle))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (- (* -1 (* normAngle u)) (* -1 normAngle))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (- (* -1 (* normAngle u)) (* -1 normAngle))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(+ normAngle (* -1 (* normAngle u))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(+ normAngle (* -1 (* normAngle u))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* -1 (* normAngle u)) |
(*.f32 normAngle (neg.f32 u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle)) |
(* -1 (* normAngle u)) |
(*.f32 normAngle (neg.f32 u)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (-.f32 normAngle (/.f32 normAngle u)) (neg.f32 u)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (-.f32 normAngle (/.f32 normAngle u)) (neg.f32 u)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (-.f32 normAngle (/.f32 normAngle u)) (neg.f32 u)) |
(* normAngle (+ 1 (* -1 u))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (+ 1 (* -1 u))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (+ 1 (* -1 u))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (+ 1 (* -1 u))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (+ 1 (* -1 u))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (+ 1 (* -1 u))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (+ 1 (* -1 u))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (+ 1 (* -1 u))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* -1 (* normAngle (- u 1))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* -1 (* normAngle (- u 1))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* -1 (* normAngle (- u 1))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* -1 (* normAngle (- u 1))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(fma.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 u (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal -1/2 binary32)))) #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(fma.f32 u (fma.f32 u (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) (neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) #s(literal 1 binary32)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (-.f32 #s(literal 1 binary32) u)) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) u)) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))) (fma.f32 #s(literal -1/720 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) u)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))) |
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))) |
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))))))) |
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 u (fma.f32 u (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (*.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (*.f32 (cos.f32 normAngle) (*.f32 normAngle (*.f32 normAngle normAngle)))) (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))) (neg.f32 (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))))) n0_i) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 normAngle (*.f32 normAngle (*.f32 u (*.f32 u u))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 u (*.f32 u u)))) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 u (*.f32 u u)))) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 normAngle (*.f32 normAngle (*.f32 u (*.f32 u u))))) |
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))) |
(*.f32 (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)) (*.f32 u u)) (*.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))) |
(*.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)) (*.f32 u u)) (/.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 (sin.f32 normAngle) (*.f32 u (*.f32 u u)))))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))) |
(*.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)) (*.f32 u u)) (/.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 (sin.f32 normAngle) (*.f32 u (*.f32 u u)))))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))))) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))))) (*.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle))))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle))))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle))))))) |
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle))))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle))))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle))))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)) |
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)))) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)))) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)))) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 n0_i (/.f32 (*.f32 normAngle (*.f32 (cos.f32 normAngle) u)) (neg.f32 (sin.f32 normAngle))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(fma.f32 u (fma.f32 u (fma.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))) (neg.f32 (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))) n0_i) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(* n0_i (- 1 u)) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (fma.f32 n0_i (neg.f32 u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 n0_i (neg.f32 u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))))) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 n0_i (neg.f32 u) n0_i)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(sin normAngle) |
(sin.f32 normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(fma.f32 normAngle (neg.f32 (*.f32 (cos.f32 normAngle) u)) (sin.f32 normAngle)) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(fma.f32 u (fma.f32 (cos.f32 normAngle) (neg.f32 normAngle) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 normAngle) u)))) (sin.f32 normAngle)) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle))))))))) |
(fma.f32 u (fma.f32 u (fma.f32 (sin.f32 normAngle) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (*.f32 (*.f32 (cos.f32 normAngle) u) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u)) |
(fma.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 u)) normAngle) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(fma.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u)) |
(fma.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))) |
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) n1_i) n1_i)) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))))) |
(fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))) (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))))))))))) |
(fma.f32 u (fma.f32 n0_i (neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (fma.f32 u (fma.f32 u (fma.f32 n1_i (*.f32 normAngle (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal -1/36 binary32)) #s(literal -1/6 binary32)))) (/.f32 (*.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (*.f32 (cos.f32 normAngle) (*.f32 normAngle (*.f32 normAngle normAngle)))) (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) n1_i) n1_i))) n0_i) |
(* 1/120 (* n1_i (* (pow normAngle 4) (pow u 5)))) |
(*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (pow.f32 u #s(literal 5 binary32)))) |
(* (pow u 5) (+ (* 1/120 (* n1_i (pow normAngle 4))) (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))) (pow u 2)))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 n1_i (/.f32 (*.f32 normAngle (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal -1/36 binary32)) #s(literal -1/6 binary32)))) (*.f32 u u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32)))))) |
(* (pow u 5) (+ (* 1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))) (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (pow u 4))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 n1_i (+.f32 (/.f32 (*.f32 normAngle (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal -1/36 binary32)) #s(literal -1/6 binary32)))) (*.f32 u u)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (pow.f32 u #s(literal 4 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32)))))) |
(* (pow u 5) (+ (* 1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 5) (sin normAngle))) (+ (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (pow normAngle 2)) 1/6))) (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (pow u 4)))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 n1_i (+.f32 (/.f32 (*.f32 normAngle (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal -1/36 binary32)) #s(literal -1/6 binary32)))) (*.f32 u u)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (pow.f32 u #s(literal 4 binary32)))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 (sin.f32 normAngle) (pow.f32 u #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))))))) |
(* 1/120 (* n1_i (* (pow normAngle 4) (pow u 5)))) |
(*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (pow.f32 u #s(literal 5 binary32)))) |
(* -1 (* (pow u 5) (+ (* -1/120 (* n1_i (pow normAngle 4))) (/ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 1/36 (pow normAngle 2))))) (pow u 2))))) |
(*.f32 (fma.f32 n1_i (/.f32 (*.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/36 binary32) #s(literal 1/6 binary32)))) (*.f32 u u)) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) #s(literal -1/120 binary32)))) (neg.f32 (pow.f32 u #s(literal 5 binary32)))) |
(* -1 (* (pow u 5) (+ (* -1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 1/36 (pow normAngle 2))))) (pow u 2)) (/ (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)) (pow u 4)))))) |
(*.f32 (fma.f32 n1_i (+.f32 (/.f32 (*.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/36 binary32) #s(literal 1/6 binary32)))) (*.f32 u u)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (pow.f32 u #s(literal 4 binary32)))) (*.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) #s(literal -1/120 binary32)))) (neg.f32 (pow.f32 u #s(literal 5 binary32)))) |
(* -1 (* (pow u 5) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 5) (sin normAngle)))) (+ (* -1/120 (* n1_i (pow normAngle 4))) (+ (/ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 1/36 (pow normAngle 2))))) (pow u 2)) (/ (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)) (pow u 4))))))) |
(neg.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 n1_i (+.f32 (/.f32 (*.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/36 binary32) #s(literal 1/6 binary32)))) (*.f32 u u)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (pow.f32 u #s(literal 4 binary32)))) (fma.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) #s(literal -1/120 binary32)) (neg.f32 (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 (sin.f32 normAngle) (pow.f32 u #s(literal 5 binary32))))))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))))))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (*.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(* n1_i (* (pow normAngle 4) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) |
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2)))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (fma.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (/.f32 (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 normAngle normAngle)))))) |
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 n1_i (fma.f32 u (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle)) (/.f32 u (pow.f32 normAngle #s(literal 4 binary32)))) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 (sin.f32 normAngle) (pow.f32 normAngle #s(literal 4 binary32))))))) |
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 n1_i (fma.f32 u (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle)) (/.f32 u (pow.f32 normAngle #s(literal 4 binary32)))) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 (sin.f32 normAngle) (pow.f32 normAngle #s(literal 4 binary32))))))) |
(* n1_i (* (pow normAngle 4) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) |
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2)))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (fma.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (/.f32 (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 normAngle normAngle)))))) |
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 n1_i (fma.f32 u (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle)) (/.f32 u (pow.f32 normAngle #s(literal 4 binary32)))) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 (sin.f32 normAngle) (pow.f32 normAngle #s(literal 4 binary32))))))) |
(* (pow normAngle 4) (+ (* n1_i (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 4) (sin normAngle))) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (pow normAngle 2)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 n1_i (fma.f32 u (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle)) (/.f32 u (pow.f32 normAngle #s(literal 4 binary32)))) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 (sin.f32 normAngle) (pow.f32 normAngle #s(literal 4 binary32))))))) |
(* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u)) |
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) n0_i))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))) |
(* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u)) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) u))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) u))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) u))) |
(* n1_i (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u)) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) u)))) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) u)))) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) u)))) |
(* 7/360 u) |
(*.f32 u #s(literal 7/360 binary32)) |
(* u (+ 7/360 (* -1/36 (pow u 2)))) |
(*.f32 u (fma.f32 #s(literal -1/36 binary32) (*.f32 u u) #s(literal 7/360 binary32))) |
(* u (+ 7/360 (* (pow u 2) (- (* 1/120 (pow u 2)) 1/36)))) |
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 #s(literal 1/120 binary32) (*.f32 u u) #s(literal -1/36 binary32)) #s(literal 7/360 binary32))) |
(* u (+ 7/360 (* (pow u 2) (- (* 1/120 (pow u 2)) 1/36)))) |
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 #s(literal 1/120 binary32) (*.f32 u u) #s(literal -1/36 binary32)) #s(literal 7/360 binary32))) |
(* 1/120 (pow u 5)) |
(*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) |
(* (pow u 5) (- 1/120 (* 1/36 (/ 1 (pow u 2))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 u u)))) |
(* (pow u 5) (- (+ 1/120 (/ 7/360 (pow u 4))) (* 1/36 (/ 1 (pow u 2))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 u #s(literal 4 binary32))) (-.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 u u))))) |
(* (pow u 5) (- (+ 1/120 (/ 7/360 (pow u 4))) (* 1/36 (/ 1 (pow u 2))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 u #s(literal 4 binary32))) (-.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 u u))))) |
(* 1/120 (pow u 5)) |
(*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) |
(* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) 1/120))) |
(*.f32 (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 u u)) #s(literal -1/120 binary32)) (neg.f32 (pow.f32 u #s(literal 5 binary32)))) |
(* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) (+ 1/120 (/ 7/360 (pow u 4)))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 u u)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 7/360 binary32) (pow.f32 u #s(literal 4 binary32))))) (neg.f32 (pow.f32 u #s(literal 5 binary32)))) |
(* -1 (* (pow u 5) (- (* 1/36 (/ 1 (pow u 2))) (+ 1/120 (/ 7/360 (pow u 4)))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 u u)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 7/360 binary32) (pow.f32 u #s(literal 4 binary32))))) (neg.f32 (pow.f32 u #s(literal 5 binary32)))) |
n1_i |
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) |
(fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) |
(+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) |
(+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i normAngle) |
(/.f32 n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) normAngle) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(* -1 normAngle) |
(neg.f32 normAngle) |
(* -1 normAngle) |
(neg.f32 normAngle) |
(* -1 normAngle) |
(neg.f32 normAngle) |
(* -1 normAngle) |
(neg.f32 normAngle) |
(* -1 normAngle) |
(neg.f32 normAngle) |
(* -1 normAngle) |
(neg.f32 normAngle) |
(* -1 normAngle) |
(neg.f32 normAngle) |
(* -1 normAngle) |
(neg.f32 normAngle) |
(* -1 normAngle) |
(neg.f32 normAngle) |
(* -1 normAngle) |
(neg.f32 normAngle) |
(* -1 normAngle) |
(neg.f32 normAngle) |
(* -1 normAngle) |
(neg.f32 normAngle) |
(* 1/6 u) |
(*.f32 #s(literal 1/6 binary32) u) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) |
(* -1/6 (pow u 3)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32))) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32))) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32))) |
(* -1/6 (pow u 3)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
(*.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
(*.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
(*.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
1/6 |
#s(literal 1/6 binary32) |
(+ 1/6 (* -1/6 (pow u 2))) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) |
(+ 1/6 (* -1/6 (pow u 2))) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) |
(+ 1/6 (* -1/6 (pow u 2))) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) |
(* -1/6 (pow u 2)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u u)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))) |
(* -1/6 (pow u 2)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u u)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 u (*.f32 u (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))) |
(* u (+ 1/6 (* 7/360 (pow normAngle 2)))) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) |
(* u (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* (pow u 2) (- (* -1/36 (pow normAngle 2)) 1/6))))) |
(*.f32 u (fma.f32 normAngle (*.f32 normAngle #s(literal 7/360 binary32)) (fma.f32 (*.f32 u u) (fma.f32 normAngle (*.f32 normAngle #s(literal -1/36 binary32)) #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) |
(* u (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* (pow u 2) (- (+ (* -1/36 (pow normAngle 2)) (* 1/120 (* (pow normAngle 2) (pow u 2)))) 1/6))))) |
(*.f32 u (fma.f32 normAngle (*.f32 normAngle #s(literal 7/360 binary32)) (fma.f32 (*.f32 u u) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/36 binary32) (fma.f32 (*.f32 u u) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32))) #s(literal 1/6 binary32)))) |
(* u (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* (pow u 2) (- (+ (* -1/36 (pow normAngle 2)) (* 1/120 (* (pow normAngle 2) (pow u 2)))) 1/6))))) |
(*.f32 u (fma.f32 normAngle (*.f32 normAngle #s(literal 7/360 binary32)) (fma.f32 (*.f32 u u) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/36 binary32) (fma.f32 (*.f32 u u) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32))) #s(literal 1/6 binary32)))) |
(* 1/120 (* (pow normAngle 2) (pow u 5))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))) |
(* (pow u 5) (- (+ (* -1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/120 (pow normAngle 2))) (* 1/6 (/ 1 (pow u 2))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) (fma.f32 #s(literal -1/36 binary32) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 #s(literal -1/6 binary32) (*.f32 u u))))) |
(* (pow u 5) (- (+ (* -1/36 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/120 (pow normAngle 2)) (+ (* 7/360 (/ (pow normAngle 2) (pow u 4))) (/ 1/6 (pow u 4))))) (* 1/6 (/ 1 (pow u 2))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) (fma.f32 #s(literal 7/360 binary32) (/.f32 (*.f32 normAngle normAngle) (pow.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (pow.f32 u #s(literal 4 binary32))))) (fma.f32 #s(literal -1/36 binary32) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 #s(literal -1/6 binary32) (*.f32 u u))))) |
(* (pow u 5) (- (+ (* -1/36 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/120 (pow normAngle 2)) (+ (* 7/360 (/ (pow normAngle 2) (pow u 4))) (/ 1/6 (pow u 4))))) (* 1/6 (/ 1 (pow u 2))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) (fma.f32 #s(literal 7/360 binary32) (/.f32 (*.f32 normAngle normAngle) (pow.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (pow.f32 u #s(literal 4 binary32))))) (fma.f32 #s(literal -1/36 binary32) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 #s(literal -1/6 binary32) (*.f32 u u))))) |
(* 1/120 (* (pow normAngle 2) (pow u 5))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))) |
(* -1 (* (pow u 5) (+ (* -1/120 (pow normAngle 2)) (+ (* 1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2))))))) |
(*.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal -1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 #s(literal 1/6 binary32) (*.f32 u u)))) (neg.f32 (pow.f32 u #s(literal 5 binary32)))) |
(* -1 (* (pow u 5) (- (+ (* -7/360 (/ (pow normAngle 2) (pow u 4))) (+ (* -1/120 (pow normAngle 2)) (+ (* 1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))) (/ 1/6 (pow u 4))))) |
(neg.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal -1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 #s(literal 1/6 binary32) (*.f32 u u)))) (fma.f32 #s(literal -7/360 binary32) (/.f32 (*.f32 normAngle normAngle) (pow.f32 u #s(literal 4 binary32))) (/.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 4 binary32))))))) |
(* -1 (* (pow u 5) (- (+ (* -7/360 (/ (pow normAngle 2) (pow u 4))) (+ (* -1/120 (pow normAngle 2)) (+ (* 1/36 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))) (/ 1/6 (pow u 4))))) |
(neg.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal -1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 #s(literal 1/6 binary32) (*.f32 u u)))) (fma.f32 #s(literal -7/360 binary32) (/.f32 (*.f32 normAngle normAngle) (pow.f32 u #s(literal 4 binary32))) (/.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 4 binary32))))))) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) |
(+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) |
(+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) |
(+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) |
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) |
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (fma.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (/.f32 (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (fma.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (/.f32 (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (fma.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (/.f32 (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (* 1/120 (- (pow u 5) u)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) |
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (fma.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (/.f32 (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (fma.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (/.f32 (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* -1/36 (* u (- (pow u 2) 1))) (+ (* 1/120 (- (pow u 5) u)) (/ (* u (+ 1/6 (* -1/6 (pow u 2)))) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (fma.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (/.f32 (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) (*.f32 normAngle normAngle))))) |
(* 1/36 u) |
(*.f32 u #s(literal 1/36 binary32)) |
(* u (+ 1/36 (* -1/36 (pow u 2)))) |
(*.f32 u (fma.f32 #s(literal -1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32))) |
(* u (+ 1/36 (* -1/36 (pow u 2)))) |
(*.f32 u (fma.f32 #s(literal -1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32))) |
(* u (+ 1/36 (* -1/36 (pow u 2)))) |
(*.f32 u (fma.f32 #s(literal -1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32))) |
(* -1/36 (pow u 3)) |
(*.f32 #s(literal -1/36 binary32) (*.f32 u (*.f32 u u))) |
(* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 u u)) #s(literal -1/36 binary32))) |
(* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 u u)) #s(literal -1/36 binary32))) |
(* (pow u 3) (- (* 1/36 (/ 1 (pow u 2))) 1/36)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 u u)) #s(literal -1/36 binary32))) |
(* -1/36 (pow u 3)) |
(*.f32 #s(literal -1/36 binary32) (*.f32 u (*.f32 u u))) |
(* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2)))))) |
(*.f32 (+.f32 #s(literal 1/36 binary32) (/.f32 #s(literal -1/36 binary32) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2)))))) |
(*.f32 (+.f32 #s(literal 1/36 binary32) (/.f32 #s(literal -1/36 binary32) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (- 1/36 (* 1/36 (/ 1 (pow u 2)))))) |
(*.f32 (+.f32 #s(literal 1/36 binary32) (/.f32 #s(literal -1/36 binary32) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
Compiled 65 863 to 4 092 computations (93.8% saved)
27 alts after pruning (27 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 461 | 25 | 1 486 |
| Fresh | 7 | 2 | 9 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 473 | 27 | 1 500 |
| Status | Accuracy | Program |
|---|---|---|
| 98.4% | (fma.f32 (-.f32 n1_i n0_i) u n0_i) | |
| 99.2% | (fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) | |
| ▶ | 99.3% | (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
| 99.3% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) | |
| 99.4% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (*.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (neg.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) | |
| 99.2% | (fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) | |
| 99.4% | (fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i) | |
| ▶ | 99.4% | (fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
| ▶ | 98.1% | (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
| 97.8% | (fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i)) | |
| 58.0% | (fma.f32 n0_i (neg.f32 u) n0_i) | |
| 83.3% | (fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i)) | |
| 7.7% | (/.f32 (fma.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) | |
| 34.2% | (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) | |
| 83.8% | (+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) | |
| 41.5% | (*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u)))) | |
| 40.4% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) | |
| 97.8% | (*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))) | |
| 41.9% | (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u)) | |
| ▶ | 41.7% | (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)) |
| 97.7% | (*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) | |
| 41.3% | (*.f32 n1_i u) | |
| 58.1% | (*.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (-.f32 #s(literal 1 binary32) u))) | |
| 58.2% | (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) u))) | |
| 97.5% | (*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))) | |
| 57.9% | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) | |
| ▶ | 47.1% | (*.f32 n0_i #s(literal 1 binary32)) |
Compiled 1 276 to 754 computations (40.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 160 | (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) |
| ✓ | cost-diff | 160 | (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
| ✓ | cost-diff | 192 | (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32))) |
| ✓ | cost-diff | 256 | (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) |
| ✓ | cost-diff | 0 | (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) |
| ✓ | cost-diff | 0 | (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u) |
| ✓ | cost-diff | 0 | (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)) |
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) |
| ✓ | cost-diff | 0 | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
| ✓ | cost-diff | 160 | (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
| ✓ | cost-diff | 160 | (*.f32 n0_i #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 normAngle #s(literal 1/3 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
| ✓ | cost-diff | 96 | (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
| 14 330× | lower-fma.f64 |
| 14 308× | lower-fma.f32 |
| 3 868× | lower--.f64 |
| 3 862× | lower--.f32 |
| 3 128× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 321 |
| 0 | 90 | 300 |
| 1 | 193 | 270 |
| 2 | 585 | 266 |
| 3 | 2160 | 266 |
| 4 | 4520 | 266 |
| 5 | 7822 | 266 |
| 0 | 8119 | 255 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
u |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
n0_i |
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) |
normAngle |
(*.f32 normAngle #s(literal 1/3 binary32)) |
#s(literal 1/3 binary32) |
#s(literal -1 binary32) |
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) |
(/.f32 n1_i (sin.f32 normAngle)) |
n1_i |
(sin.f32 normAngle) |
(*.f32 n0_i #s(literal 1 binary32)) |
n0_i |
#s(literal 1 binary32) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
u |
n1_i |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
n0_i |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)) |
n1_i |
(fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u) |
normAngle |
(*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) |
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) |
u |
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) |
#s(literal -1/6 binary32) |
(*.f32 u u) |
#s(literal 1/6 binary32) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(*.f32 normAngle normAngle) |
normAngle |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) |
(*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) |
(neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) |
(+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32))) |
(-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) |
(*.f32 n0_i #s(literal 1/24 binary32)) |
n0_i |
#s(literal 1/24 binary32) |
(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32))) |
#s(literal 1/18 binary32) |
(*.f32 n0_i #s(literal 1/120 binary32)) |
#s(literal 1/120 binary32) |
(*.f32 n1_i #s(literal -7/360 binary32)) |
n1_i |
#s(literal -7/360 binary32) |
u |
(*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) |
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) |
#s(literal 1/3 binary32) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
#s(literal 1/6 binary32) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(-.f32 n1_i n0_i) |
| Outputs |
|---|
(fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
(fma.f32 u (fma.f32 normAngle (fma.f32 n0_i (*.f32 normAngle #s(literal 1/3 binary32)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) n0_i) |
u |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 normAngle (fma.f32 n0_i (*.f32 normAngle #s(literal 1/3 binary32)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) |
n0_i |
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) |
normAngle |
(*.f32 normAngle #s(literal 1/3 binary32)) |
#s(literal 1/3 binary32) |
#s(literal -1 binary32) |
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) |
(/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
n1_i |
(sin.f32 normAngle) |
(*.f32 n0_i #s(literal 1 binary32)) |
n0_i |
n0_i |
#s(literal 1 binary32) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
u |
n1_i |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(fma.f32 u (neg.f32 n0_i) n0_i) |
n0_i |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)) |
(*.f32 u (fma.f32 n1_i (*.f32 normAngle (*.f32 normAngle (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) n1_i)) |
n1_i |
(fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u) |
(fma.f32 u (*.f32 normAngle (*.f32 normAngle (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) u) |
normAngle |
(*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) |
(*.f32 u (*.f32 normAngle (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) |
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) |
(*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) |
u |
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) |
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) |
#s(literal -1/6 binary32) |
(*.f32 u u) |
#s(literal 1/6 binary32) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 normAngle normAngle) |
normAngle |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) |
(*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32))))) |
(*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) |
(*.f32 u (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32)))) |
(neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) |
(fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) |
(+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32))) |
(fma.f32 n0_i #s(literal -1/45 binary32) (*.f32 n1_i #s(literal -7/360 binary32))) |
(-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) |
(*.f32 n0_i #s(literal -1/45 binary32)) |
(*.f32 n0_i #s(literal 1/24 binary32)) |
n0_i |
#s(literal 1/24 binary32) |
(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32))) |
(*.f32 n0_i #s(literal 23/360 binary32)) |
#s(literal 1/18 binary32) |
(*.f32 n0_i #s(literal 1/120 binary32)) |
#s(literal 1/120 binary32) |
(*.f32 n1_i #s(literal -7/360 binary32)) |
n1_i |
#s(literal -7/360 binary32) |
u |
(*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) |
(*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) |
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) |
#s(literal 1/3 binary32) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
#s(literal 1/6 binary32) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
(-.f32 n1_i n0_i) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.9% | (*.f32 n1_i #s(literal -7/360 binary32)) |
| ✓ | accuracy | 98.8% | (*.f32 n1_i #s(literal 1/6 binary32)) |
| ✓ | accuracy | 98.1% | (*.f32 n0_i #s(literal 1/120 binary32)) |
| ✓ | accuracy | 97.8% | (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) |
| ✓ | accuracy | 99.9% | (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)) |
| ✓ | accuracy | 99.5% | (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) |
| ✓ | accuracy | 99.4% | (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) |
| ✓ | accuracy | 99.1% | (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) |
| ✓ | accuracy | 100.0% | (-.f32 #s(literal 1 binary32) u) |
| ✓ | accuracy | 99.9% | (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
| ✓ | accuracy | 99.5% | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
| ✓ | accuracy | 100.0% | (*.f32 n0_i #s(literal 1 binary32)) |
| ✓ | accuracy | 99.9% | (/.f32 n1_i (sin.f32 normAngle)) |
| ✓ | accuracy | 99.9% | (fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
| ✓ | accuracy | 99.6% | (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) |
| ✓ | accuracy | 99.0% | (*.f32 normAngle #s(literal 1/3 binary32)) |
| 116.0ms | 250× | 0 | valid |
| 8.0ms | 5× | 5 | exit |
| 1.0ms | 1× | 1 | valid |
Compiled 353 to 59 computations (83.3% saved)
ival-mult: 40.0ms (39.6% of total)const: 29.0ms (28.7% of total)ival-add: 18.0ms (17.8% of total)ival-sub: 4.0ms (4% of total)ival-sin: 3.0ms (3% of total)adjust: 2.0ms (2% of total)ival-div: 2.0ms (2% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))> |
#<alt (fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)> |
#<alt (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))> |
#<alt (*.f32 normAngle #s(literal 1/3 binary32))> |
#<alt (*.f32 n0_i #s(literal 1 binary32))> |
#<alt (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))> |
#<alt (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))> |
#<alt (-.f32 #s(literal 1 binary32) u)> |
#<alt (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u))> |
#<alt (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)> |
#<alt (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))> |
#<alt (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))> |
#<alt (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32))))> |
#<alt (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))> |
#<alt (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))> |
#<alt (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u))> |
#<alt (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))> |
#<alt (/.f32 n1_i (sin.f32 normAngle))> |
#<alt (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))> |
#<alt (*.f32 n0_i #s(literal 1/120 binary32))> |
#<alt (*.f32 n1_i #s(literal 1/6 binary32))> |
#<alt (*.f32 n1_i #s(literal -7/360 binary32))> |
| Outputs |
|---|
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (* n0_i (- (* 1/3 (pow normAngle 2)) 1))> |
#<alt (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))> |
#<alt (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))> |
#<alt (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))> |
#<alt (* n0_i (- (* 1/3 (pow normAngle 2)) 1))> |
#<alt (* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))> |
#<alt (+ n1_i (* -1 n0_i))> |
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/3 n0_i) (* -1/6 n1_i)))))> |
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/3 n0_i)) (* -1/6 n1_i)))))> |
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))> |
#<alt (* 1/3 (* n0_i (pow normAngle 2)))> |
#<alt (* (pow normAngle 2) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))> |
#<alt (* 1/3 (* n0_i (pow normAngle 2)))> |
#<alt (* (pow normAngle 2) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (* 1/3 n0_i)))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (* 1/3 n0_i)))> |
#<alt (* n0_i (- (* 1/3 (pow normAngle 2)) 1))> |
#<alt (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))> |
#<alt (* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))> |
#<alt (* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))> |
#<alt (+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))> |
#<alt (+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))> |
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))> |
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))> |
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))> |
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* -1 (* u (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))> |
#<alt (* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))> |
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))> |
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* 1/3 n0_i) (* -1/6 n1_i))))))> |
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* u (- (* 1/3 n0_i) (* -1/6 n1_i)))))))> |
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* -1 (* u (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1 (* (pow normAngle 2) (* u (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))> |
#<alt (* 1/3 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n1_i u) (* normAngle (sin normAngle)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle)))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle)))))))> |
#<alt (* 1/3 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n1_i u) (* normAngle (sin normAngle)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* 1/3 (* n0_i u))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* 1/3 (* n0_i u))))> |
#<alt (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (+ n0_i (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))> |
#<alt (+ n0_i (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))> |
#<alt (+ n0_i (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) n1_i) (/ (* normAngle u) (sin normAngle)))))> |
#<alt (* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) n1_i) (/ (* normAngle u) (sin normAngle)))))> |
#<alt (* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) n1_i) (/ (* normAngle u) (sin normAngle)))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) n1_i)))))> |
#<alt -1> |
#<alt (- (* 1/3 (pow normAngle 2)) 1)> |
#<alt (- (* 1/3 (pow normAngle 2)) 1)> |
#<alt (- (* 1/3 (pow normAngle 2)) 1)> |
#<alt (* 1/3 (pow normAngle 2))> |
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))> |
#<alt (* 1/3 (pow normAngle 2))> |
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt n0_i> |
#<alt n0_i> |
#<alt n0_i> |
#<alt n0_i> |
#<alt n0_i> |
#<alt n0_i> |
#<alt n0_i> |
#<alt n0_i> |
#<alt n0_i> |
#<alt n0_i> |
#<alt n0_i> |
#<alt n0_i> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))> |
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))> |
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))> |
#<alt (* u (+ n1_i (* -1 n0_i)))> |
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))> |
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))> |
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))> |
#<alt (* -1 (* u (+ n0_i (* -1 n1_i))))> |
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))> |
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))> |
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))> |
#<alt (* n0_i (- 1 u))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (* n1_i u)> |
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))> |
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))> |
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))> |
#<alt (* n1_i u)> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))> |
#<alt (* n1_i u)> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))> |
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))> |
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt n0_i> |
#<alt (+ n0_i (* -1 (* n0_i u)))> |
#<alt (+ n0_i (* -1 (* n0_i u)))> |
#<alt (+ n0_i (* -1 (* n0_i u)))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))> |
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))> |
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 u))> |
#<alt (+ 1 (* -1 u))> |
#<alt (+ 1 (* -1 u))> |
#<alt (* -1 u)> |
#<alt (* u (- (/ 1 u) 1))> |
#<alt (* u (- (/ 1 u) 1))> |
#<alt (* u (- (/ 1 u) 1))> |
#<alt (* -1 u)> |
#<alt (* -1 (* u (- 1 (/ 1 u))))> |
#<alt (* -1 (* u (- 1 (/ 1 u))))> |
#<alt (* -1 (* u (- 1 (/ 1 u))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (* n1_i u)> |
#<alt (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))> |
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))> |
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))> |
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))> |
#<alt (* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))> |
#<alt (* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))> |
#<alt u> |
#<alt (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))> |
#<alt (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))> |
#<alt (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))> |
#<alt (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))> |
#<alt (* u (+ 1 (* 1/6 (pow normAngle 2))))> |
#<alt (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))> |
#<alt (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))> |
#<alt (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))> |
#<alt (* -1/6 (* (pow normAngle 2) (pow u 3)))> |
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))> |
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))> |
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))> |
#<alt (* -1/6 (* (pow normAngle 2) (pow u 3)))> |
#<alt (* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))> |
#<alt (* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))> |
#<alt (* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))> |
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (* normAngle (* u (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (* 1/6 (* normAngle u))> |
#<alt (* u (+ (* -1/6 (* normAngle (pow u 2))) (* 1/6 normAngle)))> |
#<alt (* u (+ (* -1/6 (* normAngle (pow u 2))) (* 1/6 normAngle)))> |
#<alt (* u (+ (* -1/6 (* normAngle (pow u 2))) (* 1/6 normAngle)))> |
#<alt (* -1/6 (* normAngle (pow u 3)))> |
#<alt (* (pow u 3) (+ (* -1/6 normAngle) (* 1/6 (/ normAngle (pow u 2)))))> |
#<alt (* (pow u 3) (+ (* -1/6 normAngle) (* 1/6 (/ normAngle (pow u 2)))))> |
#<alt (* (pow u 3) (+ (* -1/6 normAngle) (* 1/6 (/ normAngle (pow u 2)))))> |
#<alt (* -1/6 (* normAngle (pow u 3)))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ normAngle (pow u 2))) (* 1/6 normAngle))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ normAngle (pow u 2))) (* 1/6 normAngle))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ normAngle (pow u 2))) (* 1/6 normAngle))))> |
#<alt (* 1/6 u)> |
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))> |
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))> |
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))> |
#<alt (* -1/6 (pow u 3))> |
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* -1/6 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))> |
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))> |
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))> |
#<alt (* -1/45 n0_i)> |
#<alt (* -1/45 n0_i)> |
#<alt (* -1/45 n0_i)> |
#<alt (* -1/45 n0_i)> |
#<alt (* -1/45 n0_i)> |
#<alt (* -1/45 n0_i)> |
#<alt (* -1/45 n0_i)> |
#<alt (* -1/45 n0_i)> |
#<alt (* -1/45 n0_i)> |
#<alt (* -1/45 n0_i)> |
#<alt (* -1/45 n0_i)> |
#<alt (* -1/45 n0_i)> |
#<alt (* 23/360 n0_i)> |
#<alt (* 23/360 n0_i)> |
#<alt (* 23/360 n0_i)> |
#<alt (* 23/360 n0_i)> |
#<alt (* 23/360 n0_i)> |
#<alt (* 23/360 n0_i)> |
#<alt (* 23/360 n0_i)> |
#<alt (* 23/360 n0_i)> |
#<alt (* 23/360 n0_i)> |
#<alt (* 23/360 n0_i)> |
#<alt (* 23/360 n0_i)> |
#<alt (* 23/360 n0_i)> |
#<alt (+ n0_i (* u (- n1_i n0_i)))> |
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))> |
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))))> |
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))))> |
#<alt (* (pow normAngle 4) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))> |
#<alt (* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))> |
#<alt (* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))> |
#<alt (* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))> |
#<alt (* (pow normAngle 4) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))> |
#<alt (* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))> |
#<alt (* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))> |
#<alt (* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))> |
#<alt (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))))> |
#<alt (+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))))> |
#<alt (+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))))> |
#<alt (+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))))> |
#<alt (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))))))> |
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i))))))> |
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i))))))> |
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i))))))> |
#<alt (* -1 (* n0_i (- (+ u (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1)))> |
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))))> |
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))))> |
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))))> |
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u)))))> |
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i))))))> |
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i))))))> |
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i)))> |
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i)))> |
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i)))> |
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i))> |
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i))> |
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i))> |
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i))> |
#<alt (* -1 (* u (+ (* -1 (- n1_i n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))))> |
#<alt (* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))))> |
#<alt (* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))))> |
#<alt (* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))))> |
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))> |
#<alt (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))> |
#<alt (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))> |
#<alt (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))> |
#<alt (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))> |
#<alt (* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))> |
#<alt (* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))> |
#<alt (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))> |
#<alt (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))> |
#<alt (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))> |
#<alt (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))> |
#<alt (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))> |
#<alt (* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))))> |
#<alt (* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))))> |
#<alt (* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))))> |
#<alt (* -1 (* n0_i (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))))> |
#<alt (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))> |
#<alt (+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))> |
#<alt (+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))> |
#<alt (+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))> |
#<alt (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u)))> |
#<alt (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i)))))> |
#<alt (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i)))))> |
#<alt (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))> |
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))> |
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))> |
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))> |
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))> |
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))> |
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))> |
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))> |
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))> |
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))> |
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))> |
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))> |
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))> |
#<alt n1_i> |
#<alt (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))> |
#<alt (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))> |
#<alt (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i normAngle)> |
#<alt (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)> |
#<alt (/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)> |
#<alt (/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/6 (pow u 2)))> |
#<alt (+ 1/6 (* -1/6 (pow u 2)))> |
#<alt (+ 1/6 (* -1/6 (pow u 2)))> |
#<alt (* -1/6 (pow u 2))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* -1/6 (pow u 2))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* 1/120 n0_i)> |
#<alt (* 1/120 n0_i)> |
#<alt (* 1/120 n0_i)> |
#<alt (* 1/120 n0_i)> |
#<alt (* 1/120 n0_i)> |
#<alt (* 1/120 n0_i)> |
#<alt (* 1/120 n0_i)> |
#<alt (* 1/120 n0_i)> |
#<alt (* 1/120 n0_i)> |
#<alt (* 1/120 n0_i)> |
#<alt (* 1/120 n0_i)> |
#<alt (* 1/120 n0_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* -7/360 n1_i)> |
#<alt (* -7/360 n1_i)> |
#<alt (* -7/360 n1_i)> |
#<alt (* -7/360 n1_i)> |
#<alt (* -7/360 n1_i)> |
#<alt (* -7/360 n1_i)> |
#<alt (* -7/360 n1_i)> |
#<alt (* -7/360 n1_i)> |
#<alt (* -7/360 n1_i)> |
#<alt (* -7/360 n1_i)> |
#<alt (* -7/360 n1_i)> |
#<alt (* -7/360 n1_i)> |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | normAngle | @ | -inf | (+ (* u (+ (* n0_i (+ (* normAngle (* normAngle 1/3)) -1)) (* normAngle (/ n1_i (sin normAngle))))) n0_i) |
| 3.0ms | u | @ | 0 | (+ (* (* normAngle normAngle) (* (neg (+ (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120))) (* n1_i -7/360))) u)) (* (+ (* n0_i 1/3) (* n1_i 1/6)) u)) |
| 2.0ms | normAngle | @ | inf | (+ (* n0_i (+ (* normAngle (* normAngle 1/3)) -1)) (* normAngle (/ n1_i (sin normAngle)))) |
| 2.0ms | n1_i | @ | 0 | (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (* (neg (+ (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120))) (* n1_i -7/360))) u)) (* (+ (* n0_i 1/3) (* n1_i 1/6)) u))) (+ (* (- n1_i n0_i) u) n0_i)) |
| 1.0ms | normAngle | @ | -inf | (* normAngle (* u (+ (* -1/6 (* u u)) 1/6))) |
| 1× | batch-egg-rewrite |
| 5 826× | lower-*.f64 |
| 5 796× | lower-*.f32 |
| 5 132× | lower-fma.f64 |
| 5 110× | lower-fma.f32 |
| 2 788× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 214 |
| 0 | 90 | 200 |
| 1 | 379 | 184 |
| 2 | 3303 | 184 |
| 0 | 8518 | 182 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) |
(*.f32 normAngle #s(literal 1/3 binary32)) |
(*.f32 n0_i #s(literal 1 binary32)) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u) |
(*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) |
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) |
(-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) |
(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) |
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) |
(/.f32 n1_i (sin.f32 normAngle)) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) |
(*.f32 n0_i #s(literal 1/120 binary32)) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(*.f32 n1_i #s(literal -7/360 binary32)) |
| Outputs |
|---|
(+.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))) |
(+.f32 (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(+.f32 (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) |
(+.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)))) (neg.f32 n0_i)) |
(pow.f32 (/.f32 (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))) (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))))) (fma.f32 (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 (neg.f32 normAngle) (/.f32 n1_i (sin.f32 normAngle)))) (-.f32 (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))) #s(literal -1 binary32)) |
(fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) |
(fma.f32 n0_i (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) |
(fma.f32 n0_i (*.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))) |
(fma.f32 normAngle (*.f32 (*.f32 normAngle #s(literal 1/3 binary32)) n0_i) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) |
(fma.f32 (*.f32 normAngle #s(literal 1/3 binary32)) (*.f32 normAngle n0_i) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) |
(fma.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) n0_i (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))) |
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 #s(literal 1 binary32) (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) |
(fma.f32 (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) #s(literal 1 binary32) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) |
(fma.f32 (*.f32 n0_i (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) #s(literal 1 binary32) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) |
(fma.f32 (*.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))) |
(fma.f32 (*.f32 n0_i normAngle) (*.f32 normAngle #s(literal 1/3 binary32)) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) |
(fma.f32 (*.f32 n0_i (*.f32 normAngle #s(literal 1/3 binary32))) normAngle (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) |
(fma.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) #s(literal 1/3 binary32) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) |
(fma.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) n0_i (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) |
(fma.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) #s(literal 1 binary32)) n0_i (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(-.f32 (/.f32 (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 (neg.f32 normAngle) (/.f32 n1_i (sin.f32 normAngle))))) (/.f32 (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 (neg.f32 normAngle) (/.f32 n1_i (sin.f32 normAngle)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))) (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))))) (fma.f32 (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 (neg.f32 normAngle) (/.f32 n1_i (sin.f32 normAngle)))) (-.f32 (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))))) |
(/.f32 (fma.f32 (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))) (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))))) |
(/.f32 (fma.f32 (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32))) (+.f32 (/.f32 (*.f32 (*.f32 normAngle n1_i) (*.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) (-.f32 (*.f32 n0_i (*.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) (/.f32 (*.f32 (*.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (*.f32 normAngle n1_i)) (sin.f32 normAngle))))) |
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(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal -1/36 binary32)))) |
(/.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u)) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal -1/36 binary32))))) |
(/.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (+.f32 #s(literal 1/36 binary32) (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u))) (*.f32 (*.f32 u u) #s(literal -1/36 binary32))))) |
(/.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal -1/36 binary32)) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u)) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal -1/36 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal -1/36 binary32))) (neg.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) |
(/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u)))) (-.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 u u)))) |
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u))) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) |
(*.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u)) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal -1/36 binary32)))))) |
(*.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) (*.f32 u u)) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) |
(*.f32 n0_i #s(literal 1/120 binary32)) |
(*.f32 #s(literal 1 binary32) (*.f32 n0_i #s(literal 1/120 binary32))) |
(*.f32 #s(literal 1/120 binary32) n0_i) |
(*.f32 (*.f32 n0_i #s(literal 1/120 binary32)) #s(literal 1 binary32)) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(*.f32 #s(literal 1/6 binary32) n1_i) |
(*.f32 n1_i #s(literal -7/360 binary32)) |
(*.f32 #s(literal -7/360 binary32) n1_i) |
| 1× | egg-herbie |
| 12 490× | lower-fma.f64 |
| 12 490× | lower-fma.f32 |
| 7 108× | lower-*.f64 |
| 7 108× | lower-*.f32 |
| 3 528× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 507 | 7527 |
| 1 | 1762 | 6842 |
| 2 | 6626 | 6835 |
| 0 | 8032 | 6236 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(* n0_i (- (* 1/3 (pow normAngle 2)) 1)) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1)) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1)) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1)) |
(* n0_i (- (* 1/3 (pow normAngle 2)) 1)) |
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))) |
(+ n1_i (* -1 n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/3 n0_i) (* -1/6 n1_i))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/3 n0_i)) (* -1/6 n1_i))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i))))) |
(* 1/3 (* n0_i (pow normAngle 2))) |
(* (pow normAngle 2) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))) |
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))) |
(* 1/3 (* n0_i (pow normAngle 2))) |
(* (pow normAngle 2) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (* 1/3 n0_i))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (* 1/3 n0_i))) |
(* n0_i (- (* 1/3 (pow normAngle 2)) 1)) |
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))) |
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))) |
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))))) |
n0_i |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))) |
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) |
(* -1 (* u (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* 1/3 n0_i) (* -1/6 n1_i)))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* u (- (* 1/3 n0_i) (* -1/6 n1_i))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* -1 (* u (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1 (* (pow normAngle 2) (* u (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))))))) |
(* 1/3 (* n0_i (* (pow normAngle 2) u))) |
(* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n1_i u) (* normAngle (sin normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle))))))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle))))))) |
(* 1/3 (* n0_i (* (pow normAngle 2) u))) |
(* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n1_i u) (* normAngle (sin normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* 1/3 (* n0_i u)))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* 1/3 (* n0_i u)))) |
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(+ n0_i (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(+ n0_i (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(+ n0_i (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) n1_i) (/ (* normAngle u) (sin normAngle))))) |
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) n1_i) (/ (* normAngle u) (sin normAngle))))) |
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) n1_i) (/ (* normAngle u) (sin normAngle))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) n1_i))))) |
-1 |
(- (* 1/3 (pow normAngle 2)) 1) |
(- (* 1/3 (pow normAngle 2)) 1) |
(- (* 1/3 (pow normAngle 2)) 1) |
(* 1/3 (pow normAngle 2)) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(* 1/3 (pow normAngle 2)) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(* n1_i u) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i u) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* n1_i u) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(* n0_i (- 1 u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (- 1 u)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
n0_i |
(+ n0_i (* -1 (* n0_i u))) |
(+ n0_i (* -1 (* n0_i u))) |
(+ n0_i (* -1 (* n0_i u))) |
(* -1 (* n0_i u)) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* -1 (* n0_i u)) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
1 |
(+ 1 (* -1 u)) |
(+ 1 (* -1 u)) |
(+ 1 (* -1 u)) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (- (/ 1 u) 1)) |
(* u (- (/ 1 u) 1)) |
(* -1 u) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* n1_i u) |
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))) |
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))) |
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))) |
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))) |
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))) |
u |
(+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))) |
(+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))) |
(+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))) |
(* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2)))) |
(* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2)))) |
(* u (+ 1 (* 1/6 (pow normAngle 2)))) |
(* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* -1/6 (* (pow normAngle 2) (pow u 3))) |
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(* -1/6 (* (pow normAngle 2) (pow u 3))) |
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2))))) |
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2))))) |
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2))))) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(* 1/6 (* normAngle u)) |
(* u (+ (* -1/6 (* normAngle (pow u 2))) (* 1/6 normAngle))) |
(* u (+ (* -1/6 (* normAngle (pow u 2))) (* 1/6 normAngle))) |
(* u (+ (* -1/6 (* normAngle (pow u 2))) (* 1/6 normAngle))) |
(* -1/6 (* normAngle (pow u 3))) |
(* (pow u 3) (+ (* -1/6 normAngle) (* 1/6 (/ normAngle (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 normAngle) (* 1/6 (/ normAngle (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 normAngle) (* 1/6 (/ normAngle (pow u 2))))) |
(* -1/6 (* normAngle (pow u 3))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ normAngle (pow u 2))) (* 1/6 normAngle)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ normAngle (pow u 2))) (* 1/6 normAngle)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ normAngle (pow u 2))) (* 1/6 normAngle)))) |
(* 1/6 u) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(* -1/6 (pow u 3)) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* -1/6 (pow u 3)) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
(* -1/45 n0_i) |
(* -1/45 n0_i) |
(* -1/45 n0_i) |
(* -1/45 n0_i) |
(* -1/45 n0_i) |
(* -1/45 n0_i) |
(* -1/45 n0_i) |
(* -1/45 n0_i) |
(* -1/45 n0_i) |
(* -1/45 n0_i) |
(* -1/45 n0_i) |
(* -1/45 n0_i) |
(* 23/360 n0_i) |
(* 23/360 n0_i) |
(* 23/360 n0_i) |
(* 23/360 n0_i) |
(* 23/360 n0_i) |
(* 23/360 n0_i) |
(* 23/360 n0_i) |
(* 23/360 n0_i) |
(* 23/360 n0_i) |
(* 23/360 n0_i) |
(* 23/360 n0_i) |
(* 23/360 n0_i) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))))) |
(* (pow normAngle 4) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) |
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)))) |
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4)))))) |
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4)))))) |
(* (pow normAngle 4) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) |
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)))) |
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4)))))) |
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4)))))) |
(+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) |
(+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))))) |
(+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))))) |
(+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))))) |
(* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) |
(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i)))))) |
(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i)))))) |
(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i)))))) |
(* -1 (* n0_i (- (+ u (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))) 1))) |
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1))) |
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1))) |
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1))) |
(+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) |
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))))) |
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))))) |
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))))) |
(* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i)))))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i)))))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i)))))) |
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))))) |
n0_i |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i))) |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i))) |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i))) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i)) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i)) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i)) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i)) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))))) |
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))) |
(+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))) |
(+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))) |
(* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) |
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)))) |
(* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) |
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)))) |
(+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) |
(+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))))) |
(+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))))) |
(+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))))) |
(* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) |
(* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u))))) |
(* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u))))) |
(* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u))))) |
(* -1 (* n0_i (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) |
(+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) |
(+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) |
(+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) |
(+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) |
(* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) |
(* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i))))) |
(* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i))))) |
(* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))) |
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) |
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) |
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) |
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) |
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) |
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) |
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) |
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) |
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
n1_i |
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) |
(+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) |
(+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
1/6 |
(+ 1/6 (* -1/6 (pow u 2))) |
(+ 1/6 (* -1/6 (pow u 2))) |
(+ 1/6 (* -1/6 (pow u 2))) |
(* -1/6 (pow u 2)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* -1/6 (pow u 2)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* 1/120 n0_i) |
(* 1/120 n0_i) |
(* 1/120 n0_i) |
(* 1/120 n0_i) |
(* 1/120 n0_i) |
(* 1/120 n0_i) |
(* 1/120 n0_i) |
(* 1/120 n0_i) |
(* 1/120 n0_i) |
(* 1/120 n0_i) |
(* 1/120 n0_i) |
(* 1/120 n0_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* -7/360 n1_i) |
(* -7/360 n1_i) |
(* -7/360 n1_i) |
(* -7/360 n1_i) |
(* -7/360 n1_i) |
(* -7/360 n1_i) |
(* -7/360 n1_i) |
(* -7/360 n1_i) |
(* -7/360 n1_i) |
(* -7/360 n1_i) |
(* -7/360 n1_i) |
(* -7/360 n1_i) |
| Outputs |
|---|
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) |
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) |
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) |
(* n0_i (- (* 1/3 (pow normAngle 2)) 1)) |
(*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1)) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1)) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1)) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) |
(* n0_i (- (* 1/3 (pow normAngle 2)) 1)) |
(*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))) |
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))))) |
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))))) |
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))))) |
(+ n1_i (* -1 n0_i)) |
(-.f32 n1_i n0_i) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/3 n0_i) (* -1/6 n1_i))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/3 n0_i)) (* -1/6 n1_i))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) |
(* 1/3 (* n0_i (pow normAngle 2))) |
(*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) |
(* (pow normAngle 2) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle)))) (/.f32 n0_i (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle)))) (/.f32 n0_i (*.f32 normAngle normAngle)))) |
(* 1/3 (* n0_i (pow normAngle 2))) |
(*.f32 #s(literal 1/3 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) |
(* (pow normAngle 2) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (* 1/3 n0_i))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (-.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle)))))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (* 1/3 n0_i))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (-.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle)))))) |
(* n0_i (- (* 1/3 (pow normAngle 2)) 1)) |
(*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))) |
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) |
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) |
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))) |
(*.f32 n1_i (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle)))) |
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))) |
(*.f32 n1_i (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle)))) |
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))) |
(*.f32 n1_i (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle)))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle))))) |
n0_i |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) u n0_i) |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) u n0_i) |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) u n0_i) |
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) u) |
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(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i u)))) |
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(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i u)))) |
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(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i u))))) |
(* -1 (* u (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))))) |
(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i u))))) |
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(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i u))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 normAngle (*.f32 n1_i u)) (sin.f32 normAngle)) |
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(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) u n0_i) |
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(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) u n0_i) |
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(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) u n0_i) |
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
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(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(fma.f32 n0_i (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) u (/.f32 (*.f32 normAngle (*.f32 n1_i u)) (*.f32 (sin.f32 normAngle) n0_i))) n0_i) |
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(fma.f32 n0_i (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) u (/.f32 (*.f32 normAngle (*.f32 n1_i u)) (*.f32 (sin.f32 normAngle) n0_i))) n0_i) |
(* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1))) |
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32)))) |
(* -1 (* n0_i (- (+ (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1))) |
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(* -1 (* n0_i (- (+ (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1))) |
(*.f32 (neg.f32 n0_i) (-.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) u (/.f32 (*.f32 normAngle (*.f32 n1_i u)) (*.f32 (sin.f32 normAngle) n0_i))))) |
(* -1 (* n0_i (- (+ (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1))) |
(*.f32 (neg.f32 n0_i) (-.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) u (/.f32 (*.f32 normAngle (*.f32 n1_i u)) (*.f32 (sin.f32 normAngle) n0_i))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* 1/3 n0_i) (* -1/6 n1_i)))))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) u (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* u (- (* 1/3 n0_i) (* -1/6 n1_i))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* -1 (* u (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1 (* (pow normAngle 2) (* u (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) u) (neg.f32 (*.f32 normAngle normAngle)))) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(* 1/3 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 normAngle (*.f32 normAngle (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)))) |
(* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n1_i u) (* normAngle (sin normAngle))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 u (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle))))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal 1/3 binary32) u) (-.f32 (fma.f32 n1_i (/.f32 u (*.f32 normAngle (sin.f32 normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle))) (*.f32 n0_i (/.f32 u (*.f32 normAngle normAngle)))))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle))))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal 1/3 binary32) u) (-.f32 (fma.f32 n1_i (/.f32 u (*.f32 normAngle (sin.f32 normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle))) (*.f32 n0_i (/.f32 u (*.f32 normAngle normAngle)))))) |
(* 1/3 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 normAngle (*.f32 normAngle (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)))) |
(* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n1_i u) (* normAngle (sin normAngle))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 u (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u)))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* 1/3 (* n0_i u)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal 1/3 binary32) u) (/.f32 (neg.f32 (fma.f32 n1_i (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) normAngle))) (neg.f32 normAngle)))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* 1/3 (* n0_i u)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal 1/3 binary32) u) (/.f32 (neg.f32 (fma.f32 n1_i (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) normAngle))) (neg.f32 normAngle)))) |
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
(+ n0_i (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) u n0_i) |
(+ n0_i (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) u n0_i) |
(+ n0_i (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)))) u n0_i) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 normAngle (*.f32 n1_i u)) (sin.f32 normAngle)) |
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) n1_i) (/ (* normAngle u) (sin normAngle))))) |
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (fma.f32 n0_i (/.f32 (*.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) u) n1_i) (/.f32 n0_i n1_i)))) |
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) n1_i) (/ (* normAngle u) (sin normAngle))))) |
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (fma.f32 n0_i (/.f32 (*.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) u) n1_i) (/.f32 n0_i n1_i)))) |
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) n1_i) (/ (* normAngle u) (sin normAngle))))) |
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (fma.f32 n0_i (/.f32 (*.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) u) n1_i) (/.f32 n0_i n1_i)))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 normAngle (*.f32 n1_i u)) (sin.f32 normAngle)) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) n1_i))) (neg.f32 n1_i)) |
-1 |
#s(literal -1 binary32) |
(- (* 1/3 (pow normAngle 2)) 1) |
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) |
(- (* 1/3 (pow normAngle 2)) 1) |
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) |
(- (* 1/3 (pow normAngle 2)) 1) |
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) |
(* 1/3 (pow normAngle 2)) |
(*.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32))) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -1 binary32) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -1 binary32) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -1 binary32) (*.f32 normAngle normAngle)))) |
(* 1/3 (pow normAngle 2)) |
(*.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32))) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -1 binary32) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -1 binary32) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -1 binary32) (*.f32 normAngle normAngle)))) |
(* 1/3 normAngle) |
(*.f32 normAngle #s(literal 1/3 binary32)) |
(* 1/3 normAngle) |
(*.f32 normAngle #s(literal 1/3 binary32)) |
(* 1/3 normAngle) |
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(* 1/3 normAngle) |
(*.f32 normAngle #s(literal 1/3 binary32)) |
(* 1/3 normAngle) |
(*.f32 normAngle #s(literal 1/3 binary32)) |
(* 1/3 normAngle) |
(*.f32 normAngle #s(literal 1/3 binary32)) |
(* 1/3 normAngle) |
(*.f32 normAngle #s(literal 1/3 binary32)) |
(* 1/3 normAngle) |
(*.f32 normAngle #s(literal 1/3 binary32)) |
(* 1/3 normAngle) |
(*.f32 normAngle #s(literal 1/3 binary32)) |
(* 1/3 normAngle) |
(*.f32 normAngle #s(literal 1/3 binary32)) |
(* 1/3 normAngle) |
(*.f32 normAngle #s(literal 1/3 binary32)) |
(* 1/3 normAngle) |
(*.f32 normAngle #s(literal 1/3 binary32)) |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
n0_i |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
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(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
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(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
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(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(neg.f32 (*.f32 u (-.f32 n0_i n1_i))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u))))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u))))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u))))) |
(* n0_i (- 1 u)) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
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(fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u) |
(* -1/6 (* (pow normAngle 2) (pow u 3))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u)))) |
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(* -1/6 (* (pow normAngle 2) (pow u 3))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2))))) |
(*.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) (/.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2))))) |
(*.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) (/.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2))))) |
(*.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) (/.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(*.f32 u (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) normAngle)) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(*.f32 u (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) normAngle)) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(*.f32 u (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) normAngle)) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(*.f32 u (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) normAngle)) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(*.f32 u (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) normAngle)) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(*.f32 u (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) normAngle)) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(*.f32 u (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) normAngle)) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(*.f32 u (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) normAngle)) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(*.f32 u (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) normAngle)) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(*.f32 u (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) normAngle)) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(*.f32 u (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) normAngle)) |
(* normAngle (* u (+ 1/6 (* -1/6 (pow u 2))))) |
(*.f32 u (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) normAngle)) |
(* 1/6 (* normAngle u)) |
(*.f32 normAngle (*.f32 #s(literal 1/6 binary32) u)) |
(* u (+ (* -1/6 (* normAngle (pow u 2))) (* 1/6 normAngle))) |
(*.f32 u (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) normAngle)) |
(* u (+ (* -1/6 (* normAngle (pow u 2))) (* 1/6 normAngle))) |
(*.f32 u (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) normAngle)) |
(* u (+ (* -1/6 (* normAngle (pow u 2))) (* 1/6 normAngle))) |
(*.f32 u (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) normAngle)) |
(* -1/6 (* normAngle (pow u 3))) |
(*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u)))) |
(* (pow u 3) (+ (* -1/6 normAngle) (* 1/6 (/ normAngle (pow u 2))))) |
(*.f32 (*.f32 u u) (*.f32 u (fma.f32 normAngle #s(literal -1/6 binary32) (*.f32 normAngle (/.f32 #s(literal 1/6 binary32) (*.f32 u u)))))) |
(* (pow u 3) (+ (* -1/6 normAngle) (* 1/6 (/ normAngle (pow u 2))))) |
(*.f32 (*.f32 u u) (*.f32 u (fma.f32 normAngle #s(literal -1/6 binary32) (*.f32 normAngle (/.f32 #s(literal 1/6 binary32) (*.f32 u u)))))) |
(* (pow u 3) (+ (* -1/6 normAngle) (* 1/6 (/ normAngle (pow u 2))))) |
(*.f32 (*.f32 u u) (*.f32 u (fma.f32 normAngle #s(literal -1/6 binary32) (*.f32 normAngle (/.f32 #s(literal 1/6 binary32) (*.f32 u u)))))) |
(* -1/6 (* normAngle (pow u 3))) |
(*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ normAngle (pow u 2))) (* 1/6 normAngle)))) |
(*.f32 (fma.f32 normAngle #s(literal 1/6 binary32) (*.f32 normAngle (/.f32 #s(literal -1/6 binary32) (*.f32 u u)))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ normAngle (pow u 2))) (* 1/6 normAngle)))) |
(*.f32 (fma.f32 normAngle #s(literal 1/6 binary32) (*.f32 normAngle (/.f32 #s(literal -1/6 binary32) (*.f32 u u)))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ normAngle (pow u 2))) (* 1/6 normAngle)))) |
(*.f32 (fma.f32 normAngle #s(literal 1/6 binary32) (*.f32 normAngle (/.f32 #s(literal -1/6 binary32) (*.f32 u u)))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* 1/6 u) |
(*.f32 #s(literal 1/6 binary32) u) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) |
(* -1/6 (pow u 3)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u)))) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u)))) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u)))) |
(* -1/6 (pow u 3)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
(*.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
(*.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
(*.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1/45 n0_i) |
(*.f32 n0_i #s(literal -1/45 binary32)) |
(* -1/45 n0_i) |
(*.f32 n0_i #s(literal -1/45 binary32)) |
(* -1/45 n0_i) |
(*.f32 n0_i #s(literal -1/45 binary32)) |
(* -1/45 n0_i) |
(*.f32 n0_i #s(literal -1/45 binary32)) |
(* -1/45 n0_i) |
(*.f32 n0_i #s(literal -1/45 binary32)) |
(* -1/45 n0_i) |
(*.f32 n0_i #s(literal -1/45 binary32)) |
(* -1/45 n0_i) |
(*.f32 n0_i #s(literal -1/45 binary32)) |
(* -1/45 n0_i) |
(*.f32 n0_i #s(literal -1/45 binary32)) |
(* -1/45 n0_i) |
(*.f32 n0_i #s(literal -1/45 binary32)) |
(* -1/45 n0_i) |
(*.f32 n0_i #s(literal -1/45 binary32)) |
(* -1/45 n0_i) |
(*.f32 n0_i #s(literal -1/45 binary32)) |
(* -1/45 n0_i) |
(*.f32 n0_i #s(literal -1/45 binary32)) |
(* 23/360 n0_i) |
(*.f32 n0_i #s(literal 23/360 binary32)) |
(* 23/360 n0_i) |
(*.f32 n0_i #s(literal 23/360 binary32)) |
(* 23/360 n0_i) |
(*.f32 n0_i #s(literal 23/360 binary32)) |
(* 23/360 n0_i) |
(*.f32 n0_i #s(literal 23/360 binary32)) |
(* 23/360 n0_i) |
(*.f32 n0_i #s(literal 23/360 binary32)) |
(* 23/360 n0_i) |
(*.f32 n0_i #s(literal 23/360 binary32)) |
(* 23/360 n0_i) |
(*.f32 n0_i #s(literal 23/360 binary32)) |
(* 23/360 n0_i) |
(*.f32 n0_i #s(literal 23/360 binary32)) |
(* 23/360 n0_i) |
(*.f32 n0_i #s(literal 23/360 binary32)) |
(* 23/360 n0_i) |
(*.f32 n0_i #s(literal 23/360 binary32)) |
(* 23/360 n0_i) |
(*.f32 n0_i #s(literal 23/360 binary32)) |
(* 23/360 n0_i) |
(*.f32 n0_i #s(literal 23/360 binary32)) |
(+ n0_i (* u (- n1_i n0_i))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) u (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(* (pow normAngle 4) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) |
(*.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 u (pow.f32 normAngle #s(literal 4 binary32)))) |
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 u (+.f32 (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)) (/.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 u (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32)))))) |
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 u (+.f32 (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)) (/.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 u (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32)))))) |
(* (pow normAngle 4) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) |
(*.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 u (pow.f32 normAngle #s(literal 4 binary32)))) |
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 u (+.f32 (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)) (/.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 u (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32)))))) |
(* (pow normAngle 4) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 u (+.f32 (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)) (/.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 u (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32)))))) |
(+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u)) |
(+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))))) |
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i)) |
(+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))))) |
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i)) |
(+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))))) |
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i)) |
(* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u)))))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i) |
(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i)))))) |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (-.f32 (fma.f32 (*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (/.f32 (*.f32 normAngle normAngle) n0_i) (/.f32 (*.f32 n1_i u) n0_i)) u)) n0_i) |
(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i)))))) |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (-.f32 (fma.f32 (*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (/.f32 (*.f32 normAngle normAngle) n0_i) (/.f32 (*.f32 n1_i u) n0_i)) u)) n0_i) |
(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u)))) n0_i)))))) |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (-.f32 (fma.f32 (*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (/.f32 (*.f32 normAngle normAngle) n0_i) (/.f32 (*.f32 n1_i u) n0_i)) u)) n0_i) |
(* -1 (* n0_i (- (+ u (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))) 1))) |
(*.f32 n0_i (neg.f32 (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32))) #s(literal -1 binary32))))) |
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1))) |
(neg.f32 (fma.f32 n0_i (-.f32 (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)))) u) (/.f32 (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u)) n0_i)) (neg.f32 n0_i))) |
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1))) |
(neg.f32 (fma.f32 n0_i (-.f32 (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)))) u) (/.f32 (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u)) n0_i)) (neg.f32 n0_i))) |
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))) n0_i)) (* (pow normAngle 2) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) 1))) |
(neg.f32 (fma.f32 n0_i (-.f32 (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)))) u) (/.f32 (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u)) n0_i)) (neg.f32 n0_i))) |
(+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (fma.f32 n0_i (neg.f32 u) n0_i)) |
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))))))) |
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))))))) |
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))))))) |
(* n1_i (+ u (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u)) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i)))))) |
(*.f32 n1_i (+.f32 (fma.f32 (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (/.f32 (*.f32 normAngle normAngle) n1_i) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (/.f32 n0_i n1_i))) (fma.f32 (neg.f32 n0_i) (/.f32 u n1_i) u))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i)))))) |
(*.f32 n1_i (+.f32 (fma.f32 (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (/.f32 (*.f32 normAngle normAngle) n1_i) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (/.f32 n0_i n1_i))) (fma.f32 (neg.f32 n0_i) (/.f32 u n1_i) u))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) n1_i)))))) |
(*.f32 n1_i (+.f32 (fma.f32 (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (/.f32 (*.f32 normAngle normAngle) n1_i) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (/.f32 n0_i n1_i))) (fma.f32 (neg.f32 n0_i) (/.f32 u n1_i) u))) |
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))))) |
(*.f32 (neg.f32 n1_i) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32))) (neg.f32 u))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32))) (neg.f32 u)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (fma.f32 n0_i (neg.f32 u) n0_i)) n1_i))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32))) (neg.f32 u)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (fma.f32 n0_i (neg.f32 u) n0_i)) n1_i))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32))) (neg.f32 u)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (fma.f32 n0_i (neg.f32 u) n0_i)) n1_i))) |
n0_i |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))))) n0_i)) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i)) |
(*.f32 u (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (/.f32 n0_i u)) (-.f32 n1_i n0_i))) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i)) |
(*.f32 u (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (/.f32 n0_i u)) (-.f32 n1_i n0_i))) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) (/ n0_i u))) n0_i)) |
(*.f32 u (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (/.f32 n0_i u)) (-.f32 n1_i n0_i))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))) |
(*.f32 (neg.f32 u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) (neg.f32 (-.f32 n1_i n0_i)))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))))) |
(*.f32 (neg.f32 u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) (-.f32 (/.f32 n0_i (neg.f32 u)) (-.f32 n1_i n0_i)))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))))) |
(*.f32 (neg.f32 u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) (-.f32 (/.f32 n0_i (neg.f32 u)) (-.f32 n1_i n0_i)))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))))))))) |
(*.f32 (neg.f32 u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32)))) (-.f32 (/.f32 n0_i (neg.f32 u)) (-.f32 n1_i n0_i)))) |
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) |
(+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) |
(+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) |
(+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))))) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) |
(* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32)))) |
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32)))) |
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i)))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))))) |
(+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) |
(*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) |
(+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))))) |
(fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))))) |
(+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))))) |
(fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))))) |
(+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (+ (* 1/6 (* n1_i u)) (* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))))) |
(fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))))) |
(* n0_i (+ (* 1/45 (* (pow normAngle 2) u)) (* 1/3 u))) |
(*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) |
(* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u))))) |
(*.f32 n0_i (fma.f32 #s(literal 7/360 binary32) (/.f32 (*.f32 n1_i (*.f32 (*.f32 normAngle normAngle) u)) n0_i) (fma.f32 n1_i (*.f32 (/.f32 u n0_i) #s(literal 1/6 binary32)) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))))) |
(* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u))))) |
(*.f32 n0_i (fma.f32 #s(literal 7/360 binary32) (/.f32 (*.f32 n1_i (*.f32 (*.f32 normAngle normAngle) u)) n0_i) (fma.f32 n1_i (*.f32 (/.f32 u n0_i) #s(literal 1/6 binary32)) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))))) |
(* n0_i (+ (* 7/360 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/45 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u))))) |
(*.f32 n0_i (fma.f32 #s(literal 7/360 binary32) (/.f32 (*.f32 n1_i (*.f32 (*.f32 normAngle normAngle) u)) n0_i) (fma.f32 n1_i (*.f32 (/.f32 u n0_i) #s(literal 1/6 binary32)) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))))) |
(* -1 (* n0_i (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u))))) |
(*.f32 (neg.f32 n0_i) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) |
(*.f32 (neg.f32 n0_i) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (/.f32 (*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (neg.f32 n0_i)))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) |
(*.f32 (neg.f32 n0_i) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (/.f32 (*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (neg.f32 n0_i)))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))) n0_i)) (+ (* -1/3 u) (* -1/45 (* (pow normAngle 2) u)))))) |
(*.f32 (neg.f32 n0_i) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (/.f32 (*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (neg.f32 n0_i)))) |
(+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) |
(*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) |
(+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) |
(fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))))) |
(+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) |
(fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))))) |
(+ (* 1/3 (* n0_i u)) (+ (* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))))) |
(fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))))) |
(* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))) |
(*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) |
(* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i))))) |
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (fma.f32 n0_i (*.f32 (/.f32 u n1_i) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal 1/45 binary32)) n1_i)))) |
(* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i))))) |
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (fma.f32 n0_i (*.f32 (/.f32 u n1_i) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal 1/45 binary32)) n1_i)))) |
(* n1_i (+ (* 7/360 (* (pow normAngle 2) u)) (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)))) n1_i))))) |
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (fma.f32 n0_i (*.f32 (/.f32 u n1_i) #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal 1/45 binary32)) n1_i)))) |
(* -1 (* n1_i (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u))))) |
(neg.f32 (*.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))) |
(*.f32 n1_i (neg.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) (/.f32 (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (neg.f32 n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))) |
(*.f32 n1_i (neg.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) (/.f32 (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (neg.f32 n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (* u (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))))) n1_i)) (+ (* -1/6 u) (* -7/360 (* (pow normAngle 2) u)))))) |
(*.f32 n1_i (neg.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) (/.f32 (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (neg.f32 n1_i))))) |
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) |
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) |
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) |
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) |
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) |
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) |
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) |
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))))) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) |
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(*.f32 (neg.f32 u) (fma.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32))))) |
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(*.f32 (neg.f32 u) (fma.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32))))) |
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(*.f32 (neg.f32 u) (fma.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32))))) |
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (+ (* -7/360 n1_i) (* 1/24 n0_i))))) (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(*.f32 (neg.f32 u) (fma.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 n1_i #s(literal -1/6 binary32))))) |
n1_i |
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) |
(fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) |
(+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) |
(+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i normAngle) |
(/.f32 n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) normAngle) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
1/6 |
#s(literal 1/6 binary32) |
(+ 1/6 (* -1/6 (pow u 2))) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) |
(+ 1/6 (* -1/6 (pow u 2))) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) |
(+ 1/6 (* -1/6 (pow u 2))) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) |
(* -1/6 (pow u 2)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u u)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u)))) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u)))) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u)))) |
(* -1/6 (pow u 2)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u u)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u)))) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u)))) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u)))) |
(* 1/120 n0_i) |
(*.f32 n0_i #s(literal 1/120 binary32)) |
(* 1/120 n0_i) |
(*.f32 n0_i #s(literal 1/120 binary32)) |
(* 1/120 n0_i) |
(*.f32 n0_i #s(literal 1/120 binary32)) |
(* 1/120 n0_i) |
(*.f32 n0_i #s(literal 1/120 binary32)) |
(* 1/120 n0_i) |
(*.f32 n0_i #s(literal 1/120 binary32)) |
(* 1/120 n0_i) |
(*.f32 n0_i #s(literal 1/120 binary32)) |
(* 1/120 n0_i) |
(*.f32 n0_i #s(literal 1/120 binary32)) |
(* 1/120 n0_i) |
(*.f32 n0_i #s(literal 1/120 binary32)) |
(* 1/120 n0_i) |
(*.f32 n0_i #s(literal 1/120 binary32)) |
(* 1/120 n0_i) |
(*.f32 n0_i #s(literal 1/120 binary32)) |
(* 1/120 n0_i) |
(*.f32 n0_i #s(literal 1/120 binary32)) |
(* 1/120 n0_i) |
(*.f32 n0_i #s(literal 1/120 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* -7/360 n1_i) |
(*.f32 n1_i #s(literal -7/360 binary32)) |
(* -7/360 n1_i) |
(*.f32 n1_i #s(literal -7/360 binary32)) |
(* -7/360 n1_i) |
(*.f32 n1_i #s(literal -7/360 binary32)) |
(* -7/360 n1_i) |
(*.f32 n1_i #s(literal -7/360 binary32)) |
(* -7/360 n1_i) |
(*.f32 n1_i #s(literal -7/360 binary32)) |
(* -7/360 n1_i) |
(*.f32 n1_i #s(literal -7/360 binary32)) |
(* -7/360 n1_i) |
(*.f32 n1_i #s(literal -7/360 binary32)) |
(* -7/360 n1_i) |
(*.f32 n1_i #s(literal -7/360 binary32)) |
(* -7/360 n1_i) |
(*.f32 n1_i #s(literal -7/360 binary32)) |
(* -7/360 n1_i) |
(*.f32 n1_i #s(literal -7/360 binary32)) |
(* -7/360 n1_i) |
(*.f32 n1_i #s(literal -7/360 binary32)) |
(* -7/360 n1_i) |
(*.f32 n1_i #s(literal -7/360 binary32)) |
Compiled 52 532 to 2 912 computations (94.5% saved)
32 alts after pruning (30 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 094 | 15 | 1 109 |
| Fresh | 7 | 15 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 104 | 32 | 1 136 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.3% | (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
| 98.4% | (fma.f32 (-.f32 n1_i n0_i) u n0_i) | |
| ▶ | 99.2% | (fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
| 99.4% | (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (neg.f32 (*.f32 u (fma.f32 n0_i #s(literal -1/45 binary32) (*.f32 n1_i #s(literal -7/360 binary32)))))) normAngle) normAngle (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))) | |
| 99.4% | (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) | |
| ▶ | 99.4% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
| 99.3% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) | |
| 99.2% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i) | |
| ▶ | 99.4% | (fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i) |
| 97.9% | (fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)))) | |
| ✓ | 98.1% | (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
| 58.3% | (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i) | |
| 58.0% | (fma.f32 n0_i (neg.f32 u) n0_i) | |
| 83.3% | (fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i)) | |
| 7.7% | (/.f32 (fma.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) | |
| 34.2% | (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) | |
| 83.8% | (+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) | |
| 41.5% | (*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u)))) | |
| 40.4% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) | |
| 99.1% | (*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) n1_i))) (neg.f32 n1_i)) | |
| 41.9% | (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u)) | |
| 41.7% | (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u)) | |
| ✓ | 41.7% | (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)) |
| 41.7% | (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u)) | |
| 41.3% | (*.f32 n1_i u) | |
| 58.1% | (*.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (-.f32 #s(literal 1 binary32) u))) | |
| 58.2% | (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) u))) | |
| 57.9% | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) | |
| 58.2% | (*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32)))) | |
| 58.2% | (*.f32 n0_i (neg.f32 (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32))) #s(literal -1 binary32))))) | |
| 97.7% | (neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u))))) | |
| ▶ | 47.1% | n0_i |
Compiled 1 371 to 810 computations (40.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) |
| ✓ | cost-diff | 0 | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
| ✓ | cost-diff | 192 | (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) |
| ✓ | cost-diff | 224 | (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) |
| ✓ | cost-diff | 0 | (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) |
| ✓ | cost-diff | 0 | (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) |
| ✓ | cost-diff | 160 | (fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
| ✓ | cost-diff | 0 | (*.f32 n0_i u) |
| ✓ | cost-diff | 0 | (*.f32 normAngle #s(literal 1/3 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
| ✓ | cost-diff | 0 | (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i) |
| ✓ | cost-diff | 64 | (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) |
| ✓ | cost-diff | 320 | (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))) |
| 24 906× | lower-fma.f64 |
| 24 874× | lower-fma.f32 |
| 7 012× | lower-+.f64 |
| 7 012× | lower-+.f32 |
| 4 622× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 383 |
| 0 | 98 | 368 |
| 1 | 224 | 368 |
| 2 | 660 | 354 |
| 3 | 2570 | 348 |
| 4 | 7612 | 348 |
| 0 | 8164 | 337 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i) |
u |
(fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) |
n1_i |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) |
(*.f32 normAngle normAngle) |
normAngle |
(fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) |
#s(literal 7/360 binary32) |
#s(literal 1/6 binary32) |
#s(literal 1 binary32) |
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))) |
(neg.f32 n0_i) |
n0_i |
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) |
(*.f32 normAngle (cos.f32 normAngle)) |
(cos.f32 normAngle) |
(sin.f32 normAngle) |
(*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))) |
(*.f32 n0_i #s(literal -1/2 binary32)) |
#s(literal -1/2 binary32) |
(*.f32 normAngle (*.f32 normAngle u)) |
(*.f32 normAngle u) |
n0_i |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) |
normAngle |
(*.f32 normAngle #s(literal 1/3 binary32)) |
#s(literal 1/3 binary32) |
#s(literal -1 binary32) |
(*.f32 n0_i u) |
n0_i |
u |
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) |
(*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) |
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) |
n0_i |
#s(literal 1/3 binary32) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
n1_i |
#s(literal 1/6 binary32) |
u |
normAngle |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(-.f32 n1_i n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
u |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) |
(*.f32 normAngle normAngle) |
normAngle |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) |
(fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) |
(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) |
n1_i |
#s(literal 1/840 binary32) |
(*.f32 n1_i #s(literal -7/2160 binary32)) |
#s(literal -7/2160 binary32) |
(neg.f32 (*.f32 normAngle normAngle)) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
#s(literal 7/360 binary32) |
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) |
#s(literal 1/6 binary32) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
n0_i |
#s(literal 1/3 binary32) |
(-.f32 n1_i n0_i) |
| Outputs |
|---|
(fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i) |
(fma.f32 u (fma.f32 normAngle (fma.f32 n0_i (fma.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 u normAngle))) (*.f32 n1_i (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32))))) n1_i) n0_i) |
u |
(fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) |
(fma.f32 normAngle (fma.f32 n0_i (fma.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 u normAngle))) (*.f32 n1_i (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32))))) n1_i) |
n1_i |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) |
(fma.f32 normAngle (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)) |
(*.f32 normAngle normAngle) |
normAngle |
(fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) |
(fma.f32 normAngle (*.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) |
#s(literal 7/360 binary32) |
#s(literal 1/6 binary32) |
#s(literal 1 binary32) |
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))) |
(*.f32 (*.f32 normAngle n0_i) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u normAngle)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) |
(neg.f32 n0_i) |
n0_i |
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) |
(*.f32 normAngle (cos.f32 normAngle)) |
(cos.f32 normAngle) |
(sin.f32 normAngle) |
(*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))) |
(*.f32 u (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32))))) |
(*.f32 n0_i #s(literal -1/2 binary32)) |
#s(literal -1/2 binary32) |
(*.f32 normAngle (*.f32 normAngle u)) |
(*.f32 u (*.f32 normAngle normAngle)) |
(*.f32 normAngle u) |
(*.f32 u normAngle) |
n0_i |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))) n0_i) |
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) |
normAngle |
(*.f32 normAngle #s(literal 1/3 binary32)) |
#s(literal 1/3 binary32) |
#s(literal -1 binary32) |
(*.f32 n0_i u) |
(*.f32 u n0_i) |
n0_i |
u |
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) |
(*.f32 u (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) |
(*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) |
(*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) |
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) |
n0_i |
#s(literal 1/3 binary32) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
n1_i |
#s(literal 1/6 binary32) |
u |
normAngle |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
(-.f32 n1_i n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 normAngle (*.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
u |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 normAngle (*.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) |
(*.f32 normAngle normAngle) |
normAngle |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) |
(fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 normAngle (*.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n0_i #s(literal 1/3 binary32)))) |
(fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) |
(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) |
(*.f32 n1_i #s(literal -31/15120 binary32)) |
n1_i |
#s(literal 1/840 binary32) |
(*.f32 n1_i #s(literal -7/2160 binary32)) |
#s(literal -7/2160 binary32) |
(neg.f32 (*.f32 normAngle normAngle)) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
#s(literal 7/360 binary32) |
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) |
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) |
#s(literal 1/6 binary32) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
n0_i |
#s(literal 1/3 binary32) |
(-.f32 n1_i n0_i) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.1% | (*.f32 n0_i #s(literal 1/3 binary32)) |
| ✓ | accuracy | 98.9% | (*.f32 n1_i #s(literal 7/360 binary32)) |
| ✓ | accuracy | 98.8% | (*.f32 n1_i #s(literal -7/2160 binary32)) |
| ✓ | accuracy | 98.7% | (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) |
| ✓ | accuracy | 99.6% | (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) |
| ✓ | accuracy | 99.4% | (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) |
| ✓ | accuracy | 99.2% | (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) |
| ✓ | accuracy | 98.8% | (*.f32 n1_i #s(literal 1/6 binary32)) |
| ✓ | accuracy | 100.0% | (*.f32 n0_i u) |
| ✓ | accuracy | 100.0% | (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) |
| ✓ | accuracy | 99.9% | (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
| ✓ | accuracy | 99.0% | (*.f32 normAngle #s(literal 1/3 binary32)) |
| ✓ | accuracy | 99.9% | (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) |
| ✓ | accuracy | 99.9% | (fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i) |
| ✓ | accuracy | 99.8% | (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))) |
| ✓ | accuracy | 99.7% | (*.f32 normAngle (*.f32 normAngle u)) |
| 226.0ms | 251× | 0 | valid |
| 14.0ms | 4× | 5 | exit |
| 1.0ms | 1× | 1 | valid |
Compiled 427 to 64 computations (85% saved)
ival-mult: 73.0ms (41% of total)ival-cos: 53.0ms (29.8% of total)const: 22.0ms (12.4% of total)ival-add: 18.0ms (10.1% of total)ival-sin: 3.0ms (1.7% of total)ival-div: 2.0ms (1.1% of total)adjust: 2.0ms (1.1% of total)ival-neg: 2.0ms (1.1% of total)ival-sub: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))> |
#<alt (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))))> |
#<alt (fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i)> |
#<alt (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))> |
#<alt (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)> |
#<alt (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))> |
#<alt (*.f32 normAngle #s(literal 1/3 binary32))> |
#<alt (*.f32 n0_i u)> |
#<alt (fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))> |
#<alt (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle)> |
#<alt (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)> |
#<alt (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))> |
#<alt (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))> |
#<alt (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))> |
#<alt (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)> |
#<alt (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))> |
#<alt (*.f32 normAngle (*.f32 normAngle u))> |
#<alt (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))> |
#<alt (*.f32 n1_i #s(literal 1/6 binary32))> |
#<alt (*.f32 n1_i #s(literal -7/2160 binary32))> |
#<alt (*.f32 n1_i #s(literal 7/360 binary32))> |
#<alt (*.f32 n0_i #s(literal 1/3 binary32))> |
| Outputs |
|---|
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))> |
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))> |
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))> |
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))> |
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))> |
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))> |
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))> |
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))> |
#<alt (* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))> |
#<alt (* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))> |
#<alt (* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))> |
#<alt (* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))> |
#<alt (* -1 n0_i)> |
#<alt (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/2 (* n0_i u)))))> |
#<alt (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i))))) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/2 (* n0_i u))))))> |
#<alt (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i)))))))) (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i))))))))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u))))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (* -1/2 (* n0_i (pow normAngle 2)))))> |
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (* -1/2 (* n0_i (pow normAngle 2)))))> |
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (* -1/2 (* n0_i (pow normAngle 2)))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1 (* u (+ (* 1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))))> |
#<alt (* -1 (* u (+ (* 1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))))> |
#<alt (* -1 (* u (+ (* 1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))> |
#<alt (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))> |
#<alt (* n1_i (+ 1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))> |
#<alt (* n1_i (+ 1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))> |
#<alt (* n1_i (+ 1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))> |
#<alt (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n1_i)))))> |
#<alt (+ n1_i (* -1 n0_i))> |
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))))))> |
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i)))))))))> |
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i)))))))) (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i))))))))))> |
#<alt (* 7/360 (* n1_i (pow normAngle 4)))> |
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2))))))> |
#<alt (* (pow normAngle 4) (+ (* -1 (/ (* n0_i (cos normAngle)) (* (pow normAngle 3) (sin normAngle)))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2)))))))> |
#<alt (* (pow normAngle 4) (+ (* -1 (/ (* n0_i (cos normAngle)) (* (pow normAngle 3) (sin normAngle)))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (/ n1_i (pow normAngle 4)))))))> |
#<alt (* 7/360 (* n1_i (pow normAngle 4)))> |
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2))))))> |
#<alt (* (pow normAngle 4) (+ (* -1 (/ (* n0_i (cos normAngle)) (* (pow normAngle 3) (sin normAngle)))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2)))))))> |
#<alt (* (pow normAngle 4) (+ (* -1 (/ (+ (* -1 (/ n1_i normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle))) (pow normAngle 3))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2)))))))> |
#<alt (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))> |
#<alt (+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))> |
#<alt (+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))> |
#<alt (+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))> |
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))> |
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i))))> |
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i))))> |
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i))))> |
#<alt (* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))> |
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))> |
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))> |
#<alt (* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))> |
#<alt (* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))))> |
#<alt (* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))> |
#<alt (* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))> |
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))> |
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))> |
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))))> |
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))))> |
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))))> |
#<alt (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))> |
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i))))> |
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i))))> |
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i))))> |
#<alt (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* -1 (/ (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* -1 (/ (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* -1 (/ (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) n1_i)))))> |
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))> |
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))))))> |
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))) (* (pow normAngle 2) (* u (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i))))))))> |
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))))) (* u (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i)))))))))> |
#<alt (* 7/360 (* n1_i (* (pow normAngle 4) u)))> |
#<alt (* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2))))> |
#<alt (* (pow normAngle 4) (+ (* -1 (/ (* n0_i (* u (cos normAngle))) (* (pow normAngle 3) (sin normAngle)))) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 4) (+ (* -1 (/ (* n0_i (* u (cos normAngle))) (* (pow normAngle 3) (sin normAngle)))) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))))))> |
#<alt (* 7/360 (* n1_i (* (pow normAngle 4) u)))> |
#<alt (* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2))))> |
#<alt (* (pow normAngle 4) (+ (* -1 (/ (* n0_i (* u (cos normAngle))) (* (pow normAngle 3) (sin normAngle)))) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 4) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (* n1_i u)) normAngle)) (/ (* n0_i (* u (cos normAngle))) (sin normAngle))) (pow normAngle 3))) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))))> |
#<alt (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))> |
#<alt (+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))> |
#<alt (+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))> |
#<alt (+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))> |
#<alt (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))))> |
#<alt (* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i))))> |
#<alt (* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i))))> |
#<alt (* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i))))> |
#<alt (* -1 (* n0_i (- (* u (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)) (* u (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)) (* u (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)) (* u (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) 1)))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow normAngle 2)))> |
#<alt (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))> |
#<alt (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))> |
#<alt (* 7/360 (pow normAngle 4))> |
#<alt (* (pow normAngle 4) (+ 7/360 (* 1/6 (/ 1 (pow normAngle 2)))))> |
#<alt (* (pow normAngle 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 4)))))> |
#<alt (* (pow normAngle 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 4)))))> |
#<alt (* 7/360 (pow normAngle 4))> |
#<alt (* (pow normAngle 4) (+ 7/360 (* 1/6 (/ 1 (pow normAngle 2)))))> |
#<alt (* (pow normAngle 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 4)))))> |
#<alt (* (pow normAngle 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 4)))))> |
#<alt (+ n0_i (* -1 (* n0_i u)))> |
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u)))))> |
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u)))))> |
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u)))))> |
#<alt (* 1/3 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))> |
#<alt (* 1/3 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2)))))> |
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1)))> |
#<alt (* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1)))> |
#<alt (* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1)))> |
#<alt (* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1)))> |
#<alt n0_i> |
#<alt (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))> |
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u)))> |
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u)))> |
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u)))> |
#<alt (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))> |
#<alt (* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u)))))> |
#<alt -1> |
#<alt (- (* 1/3 (pow normAngle 2)) 1)> |
#<alt (- (* 1/3 (pow normAngle 2)) 1)> |
#<alt (- (* 1/3 (pow normAngle 2)) 1)> |
#<alt (* 1/3 (pow normAngle 2))> |
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))> |
#<alt (* 1/3 (pow normAngle 2))> |
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* 1/3 normAngle)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (* n0_i u)> |
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))> |
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))> |
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))> |
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))> |
#<alt (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u)))))> |
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))> |
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))> |
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))> |
#<alt (* -1 (* n0_i (- (+ u (* -1/3 (* (pow normAngle 2) u))) 1)))> |
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))> |
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))> |
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))> |
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u)))))> |
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))> |
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))> |
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))> |
#<alt (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))> |
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))> |
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))> |
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) u)))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))> |
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))> |
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))> |
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))> |
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))> |
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))> |
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))> |
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (* -1 (- n1_i n0_i)))))> |
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))> |
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))> |
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))> |
#<alt (+ n0_i (* u (- n1_i n0_i)))> |
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))> |
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))> |
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))> |
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* 1/6 (* n1_i (* normAngle u)))> |
#<alt (+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u))))> |
#<alt (+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u))))> |
#<alt (+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u))))> |
#<alt (* 1/3 (* n0_i (* normAngle u)))> |
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i (* normAngle u)) n0_i)) (* 1/3 (* normAngle u))))> |
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i (* normAngle u)) n0_i)) (* 1/3 (* normAngle u))))> |
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i (* normAngle u)) n0_i)) (* 1/3 (* normAngle u))))> |
#<alt (* 1/3 (* n0_i (* normAngle u)))> |
#<alt (* -1 (* n0_i (+ (* -1/3 (* normAngle u)) (* -1/6 (/ (* n1_i (* normAngle u)) n0_i)))))> |
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#<alt (* -31/15120 n1_i)> |
#<alt n0_i> |
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#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) (/ n0_i u))) n0_i))> |
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))> |
#<alt (* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* -1 (/ n0_i u)))))> |
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#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u))))))))> |
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#<alt (* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))> |
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#<alt (* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))> |
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#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))> |
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))> |
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#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))> |
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))> |
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#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))> |
#<alt (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))> |
#<alt (+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))> |
#<alt (+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))> |
#<alt (+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))> |
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))> |
#<alt (* -1 (* n0_i (- (* u (+ 1 (* -1/3 (pow normAngle 2)))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))> |
#<alt (- n1_i n0_i)> |
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)> |
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)> |
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)> |
#<alt (* -1 (* (pow normAngle 6) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))> |
#<alt (* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))> |
#<alt (* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (* 1/3 (/ n0_i (pow normAngle 4)))))))> |
#<alt (* (pow normAngle 6) (- (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (pow normAngle 6)))))) (/ n0_i (pow normAngle 6))))> |
#<alt (* -1 (* (pow normAngle 6) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))> |
#<alt (* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2)))))> |
#<alt (* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (* 1/3 (/ n0_i (pow normAngle 4)))))))> |
#<alt (* (pow normAngle 6) (- (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (pow normAngle 6)))))) (/ n0_i (pow normAngle 6))))> |
#<alt (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)> |
#<alt (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) n0_i)> |
#<alt (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) n0_i)> |
#<alt (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) n0_i)> |
#<alt (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))> |
#<alt (* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i n1_i)))> |
#<alt (* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i n1_i)))> |
#<alt (* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i n1_i)))> |
#<alt (* -1 (* n1_i (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))> |
#<alt (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))> |
#<alt (+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))> |
#<alt (+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))> |
#<alt (+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))> |
#<alt (* n0_i (- (* 1/3 (pow normAngle 2)) 1))> |
#<alt (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))> |
#<alt (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))> |
#<alt (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))> |
#<alt (* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2))))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2))))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2))))))> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* -7/2160 n1_i)> |
#<alt (* -7/2160 n1_i)> |
#<alt (* -7/2160 n1_i)> |
#<alt (* -7/2160 n1_i)> |
#<alt (* -7/2160 n1_i)> |
#<alt (* -7/2160 n1_i)> |
#<alt (* -7/2160 n1_i)> |
#<alt (* -7/2160 n1_i)> |
#<alt (* -7/2160 n1_i)> |
#<alt (* -7/2160 n1_i)> |
#<alt (* -7/2160 n1_i)> |
#<alt (* -7/2160 n1_i)> |
#<alt (* 7/360 n1_i)> |
#<alt (* 7/360 n1_i)> |
#<alt (* 7/360 n1_i)> |
#<alt (* 7/360 n1_i)> |
#<alt (* 7/360 n1_i)> |
#<alt (* 7/360 n1_i)> |
#<alt (* 7/360 n1_i)> |
#<alt (* 7/360 n1_i)> |
#<alt (* 7/360 n1_i)> |
#<alt (* 7/360 n1_i)> |
#<alt (* 7/360 n1_i)> |
#<alt (* 7/360 n1_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | n1_i | @ | 0 | (+ (* (* (* (+ (* n0_i 1/3) (* n1_i 1/6)) u) normAngle) normAngle) (+ (* (- n1_i n0_i) u) n0_i)) |
| 2.0ms | n0_i | @ | 0 | (+ (* (neg n0_i) (/ (* normAngle (cos normAngle)) (sin normAngle))) (* (* n0_i -1/2) (* normAngle (* normAngle u)))) |
| 1.0ms | u | @ | 0 | (+ (* u (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (+ (* n1_i 1/840) (* n1_i -7/2160)) (neg (* normAngle normAngle))) (* n1_i 7/360))) (+ (* n1_i 1/6) (* n0_i 1/3)))) (- n1_i n0_i))) n0_i) |
| 1.0ms | n1_i | @ | 0 | (+ (* (+ (* n1_i 1/840) (* n1_i -7/2160)) (neg (* normAngle normAngle))) (* n1_i 7/360)) |
| 1.0ms | n0_i | @ | 0 | (+ (* u (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (+ (* n1_i 1/840) (* n1_i -7/2160)) (neg (* normAngle normAngle))) (* n1_i 7/360))) (+ (* n1_i 1/6) (* n0_i 1/3)))) (- n1_i n0_i))) n0_i) |
| 1× | batch-egg-rewrite |
| 7 942× | lower-*.f64 |
| 7 914× | lower-*.f32 |
| 6 890× | lower-fma.f64 |
| 6 858× | lower-fma.f32 |
| 3 410× | lower-/.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 273 |
| 0 | 98 | 261 |
| 1 | 428 | 261 |
| 2 | 3891 | 252 |
| 0 | 10794 | 252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u)))) |
(fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) |
(fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) |
(*.f32 normAngle #s(literal 1/3 binary32)) |
(*.f32 n0_i u) |
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) |
(*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) |
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) |
(fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) |
(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) |
(*.f32 normAngle (*.f32 normAngle u)) |
(*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(*.f32 n1_i #s(literal -7/2160 binary32)) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
| Outputs |
|---|
(+.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) |
(+.f32 (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))))) |
(pow.f32 (/.f32 (fma.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))) (-.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) (pow.f32 (*.f32 (*.f32 n0_i normAngle) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) #s(literal 2 binary32))) (fma.f32 (*.f32 n0_i (*.f32 n0_i n0_i)) (*.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (*.f32 u (*.f32 normAngle normAngle)))) #s(literal -1/8 binary32)) (pow.f32 (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) (*.f32 (neg.f32 n0_i) (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))))) (fma.f32 (*.f32 n0_i n0_i) (pow.f32 (/.f32 (tan.f32 normAngle) normAngle) #s(literal -2 binary32)) (neg.f32 (*.f32 n0_i (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))))))))) #s(literal -1 binary32)) |
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))) (*.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))))) |
(fma.f32 n0_i (neg.f32 (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))))) |
(fma.f32 (neg.f32 n0_i) (*.f32 normAngle (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))))) |
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(/.f32 (fma.f32 (+.f32 (pow.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) #s(literal 3 binary32)) (*.f32 n1_i (*.f32 n1_i n1_i))) (+.f32 #s(literal 0 binary32) (fma.f32 n0_i n0_i (*.f32 #s(literal 0 binary32) n0_i))) (*.f32 (fma.f32 normAngle (*.f32 (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))) (-.f32 (*.f32 n1_i n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) n1_i))) (-.f32 #s(literal 0 binary32) (*.f32 n0_i (*.f32 n0_i n0_i))))) (*.f32 (fma.f32 normAngle (*.f32 (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))) (-.f32 (*.f32 n1_i n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) n1_i))) (+.f32 #s(literal 0 binary32) (fma.f32 n0_i n0_i (*.f32 #s(literal 0 binary32) n0_i))))) |
(/.f32 (fma.f32 (+.f32 (pow.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) #s(literal 3 binary32)) (*.f32 n1_i (*.f32 n1_i n1_i))) (+.f32 #s(literal 0 binary32) n0_i) (*.f32 (fma.f32 normAngle (*.f32 (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))) (-.f32 (*.f32 n1_i n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) n1_i))) (-.f32 #s(literal 0 binary32) (*.f32 n0_i n0_i)))) (*.f32 (fma.f32 normAngle (*.f32 (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))) (-.f32 (*.f32 n1_i n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) n1_i))) (+.f32 #s(literal 0 binary32) n0_i))) |
(/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))) (*.f32 n1_i n1_i)) (+.f32 #s(literal 0 binary32) (fma.f32 n0_i n0_i (*.f32 #s(literal 0 binary32) n0_i))) (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) n1_i) (-.f32 #s(literal 0 binary32) (*.f32 n0_i (*.f32 n0_i n0_i))))) (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) n1_i) (+.f32 #s(literal 0 binary32) (fma.f32 n0_i n0_i (*.f32 #s(literal 0 binary32) n0_i))))) |
(/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))) (*.f32 n1_i n1_i)) (+.f32 #s(literal 0 binary32) n0_i) (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) n1_i) (-.f32 #s(literal 0 binary32) (*.f32 n0_i n0_i)))) (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) n1_i) (+.f32 #s(literal 0 binary32) n0_i))) |
(*.f32 (fma.f32 (-.f32 n1_i n0_i) (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 n1_i n0_i) (-.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))) (*.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))))))) |
(*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))) (neg.f32 (-.f32 n1_i n0_i)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))) (neg.f32 (-.f32 n1_i n0_i))))) |
(*.f32 normAngle (*.f32 normAngle u)) |
(*.f32 u (*.f32 normAngle normAngle)) |
(*.f32 (*.f32 normAngle u) normAngle) |
(*.f32 (*.f32 normAngle normAngle) u) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))) |
(*.f32 normAngle (*.f32 (*.f32 normAngle u) (*.f32 n0_i #s(literal -1/2 binary32)))) |
(*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))) |
(*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u (*.f32 normAngle normAngle))) |
(*.f32 (*.f32 normAngle u) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) normAngle))) |
(*.f32 (*.f32 u (*.f32 normAngle normAngle)) (*.f32 n0_i #s(literal -1/2 binary32))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 n0_i #s(literal -1/2 binary32)))) |
(*.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) normAngle)) (*.f32 normAngle u)) |
(*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))) n0_i) |
(*.f32 (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle u)) normAngle) |
(*.f32 (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle normAngle)) u) |
(*.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) n0_i) #s(literal -1/2 binary32)) |
(*.f32 (*.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) normAngle)) normAngle) u) |
(*.f32 (*.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) normAngle)) u) normAngle) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(*.f32 #s(literal 1/6 binary32) n1_i) |
(*.f32 n1_i #s(literal -7/2160 binary32)) |
(*.f32 #s(literal -7/2160 binary32) n1_i) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
(*.f32 #s(literal 7/360 binary32) n1_i) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
(*.f32 #s(literal 1/3 binary32) n0_i) |
| 1× | egg-herbie |
| 15 672× | lower-fma.f64 |
| 15 672× | lower-fma.f32 |
| 7 120× | lower-*.f64 |
| 7 120× | lower-*.f32 |
| 5 706× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 660 | 10777 |
| 1 | 2312 | 10167 |
| 0 | 8406 | 9305 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 n0_i) |
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/2 (* n0_i u))))) |
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i))))) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/2 (* n0_i u)))))) |
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i)))))))) (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))))))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u)))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u)))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u)))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u)))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u)))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (* -1/2 (* n0_i (pow normAngle 2))))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (* -1/2 (* n0_i (pow normAngle 2))))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (* -1/2 (* n0_i (pow normAngle 2))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1 (* u (+ (* 1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))))) |
(* -1 (* u (+ (* 1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))))) |
(* -1 (* u (+ (* 1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) |
(* n1_i (+ 1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(* n1_i (+ 1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(* n1_i (+ 1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) |
(* -1 (* n1_i (+ (* -1 (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n1_i))))) |
(+ n1_i (* -1 n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i))))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i)))))))) (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i)))))))))) |
(* 7/360 (* n1_i (pow normAngle 4))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2)))))) |
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (cos normAngle)) (* (pow normAngle 3) (sin normAngle)))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2))))))) |
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (cos normAngle)) (* (pow normAngle 3) (sin normAngle)))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))))) |
(* 7/360 (* n1_i (pow normAngle 4))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2)))))) |
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (cos normAngle)) (* (pow normAngle 3) (sin normAngle)))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2))))))) |
(* (pow normAngle 4) (+ (* -1 (/ (+ (* -1 (/ n1_i normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle))) (pow normAngle 3))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2))))))) |
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) |
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) |
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) |
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)))) |
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))) |
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))) |
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))) |
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))) |
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))) |
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) |
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i)))) |
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i)))) |
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i)))) |
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) |
(* -1 (* n1_i (+ (* -1 (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* -1 (/ (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* -1 (/ (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* -1 (/ (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) n1_i))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))) (* (pow normAngle 2) (* u (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))))) (* u (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i))))))))) |
(* 7/360 (* n1_i (* (pow normAngle 4) u))) |
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))) |
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (* u (cos normAngle))) (* (pow normAngle 3) (sin normAngle)))) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2))))) |
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (* u (cos normAngle))) (* (pow normAngle 3) (sin normAngle)))) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2))))))) |
(* 7/360 (* n1_i (* (pow normAngle 4) u))) |
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))) |
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (* u (cos normAngle))) (* (pow normAngle 3) (sin normAngle)))) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2))))) |
(* (pow normAngle 4) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (* n1_i u)) normAngle)) (/ (* n0_i (* u (cos normAngle))) (sin normAngle))) (pow normAngle 3))) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2))))) |
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) |
(+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) |
(* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)))) |
(* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)))) |
(* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)))) |
(* -1 (* n0_i (- (* u (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)) (* u (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)) (* u (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)) (* u (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) 1))) |
1 |
(+ 1 (* 1/6 (pow normAngle 2))) |
(+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) |
(+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) |
(* 7/360 (pow normAngle 4)) |
(* (pow normAngle 4) (+ 7/360 (* 1/6 (/ 1 (pow normAngle 2))))) |
(* (pow normAngle 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 4))))) |
(* (pow normAngle 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 4))))) |
(* 7/360 (pow normAngle 4)) |
(* (pow normAngle 4) (+ 7/360 (* 1/6 (/ 1 (pow normAngle 2))))) |
(* (pow normAngle 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 4))))) |
(* (pow normAngle 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 4))))) |
(+ n0_i (* -1 (* n0_i u))) |
(+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) |
(+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) |
(+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) |
(* 1/3 (* n0_i (* (pow normAngle 2) u))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2))))) |
(* 1/3 (* n0_i (* (pow normAngle 2) u))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (* n0_i u)) (/ n0_i (pow normAngle 2))))) |
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1))) |
(* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1))) |
(* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1))) |
(* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1))) |
n0_i |
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) |
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u))) |
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u))) |
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u))) |
(* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) |
(* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u))))) |
-1 |
(- (* 1/3 (pow normAngle 2)) 1) |
(- (* 1/3 (pow normAngle 2)) 1) |
(- (* 1/3 (pow normAngle 2)) 1) |
(* 1/3 (pow normAngle 2)) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(* 1/3 (pow normAngle 2)) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* 1/3 normAngle) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(* n0_i u) |
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) |
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u))) |
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u))) |
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u))) |
(* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) |
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i)))))) |
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i)))))) |
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i)))))) |
(* -1 (* n0_i (- (+ u (* -1/3 (* (pow normAngle 2) u))) 1))) |
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1))) |
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1))) |
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1))) |
(+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) |
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))))) |
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))))) |
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))))) |
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i)))))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i)))))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i)))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) u))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u)))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u)))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u)))))) |
n0_i |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))) |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))) |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i)) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i)) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i)) |
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (* -1 (- n1_i n0_i))))) |
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))) |
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))) |
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* 1/6 (* n1_i (* normAngle u))) |
(+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u)))) |
(+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u)))) |
(+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u)))) |
(* 1/3 (* n0_i (* normAngle u))) |
(* n0_i (+ (* 1/6 (/ (* n1_i (* normAngle u)) n0_i)) (* 1/3 (* normAngle u)))) |
(* n0_i (+ (* 1/6 (/ (* n1_i (* normAngle u)) n0_i)) (* 1/3 (* normAngle u)))) |
(* n0_i (+ (* 1/6 (/ (* n1_i (* normAngle u)) n0_i)) (* 1/3 (* normAngle u)))) |
(* 1/3 (* n0_i (* normAngle u))) |
(* -1 (* n0_i (+ (* -1/3 (* normAngle u)) (* -1/6 (/ (* n1_i (* normAngle u)) n0_i))))) |
(* -1 (* n0_i (+ (* -1/3 (* normAngle u)) (* -1/6 (/ (* n1_i (* normAngle u)) n0_i))))) |
(* -1 (* n0_i (+ (* -1/3 (* normAngle u)) (* -1/6 (/ (* n1_i (* normAngle u)) n0_i))))) |
(* 1/3 (* n0_i (* normAngle u))) |
(+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u)))) |
(+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u)))) |
(+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u)))) |
(* 1/6 (* n1_i (* normAngle u))) |
(* n1_i (+ (* 1/6 (* normAngle u)) (* 1/3 (/ (* n0_i (* normAngle u)) n1_i)))) |
(* n1_i (+ (* 1/6 (* normAngle u)) (* 1/3 (/ (* n0_i (* normAngle u)) n1_i)))) |
(* n1_i (+ (* 1/6 (* normAngle u)) (* 1/3 (/ (* n0_i (* normAngle u)) n1_i)))) |
(* 1/6 (* n1_i (* normAngle u))) |
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (* normAngle u)) n1_i)) (* -1/6 (* normAngle u))))) |
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (* normAngle u)) n1_i)) (* -1/6 (* normAngle u))))) |
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (* normAngle u)) n1_i)) (* -1/6 (* normAngle u))))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* normAngle (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* 1/6 (* n1_i u)) |
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u))) |
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u))) |
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u))) |
(* 1/3 (* n0_i u)) |
(* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u))) |
(* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u))) |
(* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u))) |
(* 1/3 (* n0_i u)) |
(* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i))))) |
(* 1/3 (* n0_i u)) |
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u))) |
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u))) |
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u))) |
(* 1/6 (* n1_i u)) |
(* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i)))) |
(* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i)))) |
(* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i)))) |
(* 1/6 (* n1_i u)) |
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u)))) |
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u)))) |
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u)))) |
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* 1/6 n1_i) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(* 1/3 n0_i) |
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))) |
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))) |
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))) |
(* 1/3 n0_i) |
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))) |
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))) |
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))) |
(* 1/3 n0_i) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(* 1/6 n1_i) |
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i)))) |
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i)))) |
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i)))) |
(* 1/6 n1_i) |
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6))) |
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6))) |
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6))) |
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2)))) |
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2)))) |
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2)))) |
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2)))) |
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2)))) |
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2)))) |
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2)))) |
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2)))) |
(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360))) |
(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360))) |
(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360))) |
(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360))) |
(* 7/360 n1_i) |
(+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)) |
(+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)) |
(+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)) |
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) |
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2))))) |
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) |
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2))))) |
(* -31/15120 n1_i) |
(* -31/15120 n1_i) |
(* -31/15120 n1_i) |
(* -31/15120 n1_i) |
(* -31/15120 n1_i) |
(* -31/15120 n1_i) |
(* -31/15120 n1_i) |
(* -31/15120 n1_i) |
(* -31/15120 n1_i) |
(* -31/15120 n1_i) |
(* -31/15120 n1_i) |
(* -31/15120 n1_i) |
n0_i |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))) |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))) |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) (/ n0_i u))) n0_i)) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) (/ n0_i u))) n0_i)) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) (/ n0_i u))) n0_i)) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) |
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* -1 (/ n0_i u))))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u)))))))) |
(* -1 (* (pow normAngle 6) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) |
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4))))) |
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6))))))) |
(* -1 (* (pow normAngle 6) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) |
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4))))) |
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6))))))) |
(+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) |
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))) |
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))) |
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))) |
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) |
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)))) |
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)))) |
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)))) |
(* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))) |
(* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) |
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))) |
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))) |
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))) |
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)))) |
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)))) |
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)))) |
(* -1 (* n0_i (- (* u (+ 1 (* -1/3 (pow normAngle 2)))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1))) |
(- n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i) |
(* -1 (* (pow normAngle 6) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) |
(* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2))))) |
(* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (* 1/3 (/ n0_i (pow normAngle 4))))))) |
(* (pow normAngle 6) (- (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (pow normAngle 6)))))) (/ n0_i (pow normAngle 6)))) |
(* -1 (* (pow normAngle 6) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) |
(* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2))))) |
(* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (* 1/3 (/ n0_i (pow normAngle 4))))))) |
(* (pow normAngle 6) (- (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (pow normAngle 6)))))) (/ n0_i (pow normAngle 6)))) |
(- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) n0_i) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) n0_i) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) n0_i) |
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) |
(* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i n1_i))) |
(* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i n1_i))) |
(* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i n1_i))) |
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1))) |
(+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) |
(+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) |
(+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) |
(+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) |
(* n0_i (- (* 1/3 (pow normAngle 2)) 1)) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1)) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1)) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1)) |
(* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2)))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2)))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2)))))) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* -7/2160 n1_i) |
(* -7/2160 n1_i) |
(* -7/2160 n1_i) |
(* -7/2160 n1_i) |
(* -7/2160 n1_i) |
(* -7/2160 n1_i) |
(* -7/2160 n1_i) |
(* -7/2160 n1_i) |
(* -7/2160 n1_i) |
(* -7/2160 n1_i) |
(* -7/2160 n1_i) |
(* -7/2160 n1_i) |
(* 7/360 n1_i) |
(* 7/360 n1_i) |
(* 7/360 n1_i) |
(* 7/360 n1_i) |
(* 7/360 n1_i) |
(* 7/360 n1_i) |
(* 7/360 n1_i) |
(* 7/360 n1_i) |
(* 7/360 n1_i) |
(* 7/360 n1_i) |
(* 7/360 n1_i) |
(* 7/360 n1_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
| Outputs |
|---|
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(*.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(*.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(*.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(*.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)))) (neg.f32 n0_i)) |
(* -1 n0_i) |
(neg.f32 n0_i) |
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/2 (* n0_i u))))) |
(fma.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))) normAngle) normAngle (neg.f32 n0_i)) |
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i))))) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/2 (* n0_i u)))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (neg.f32 (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))) (neg.f32 n0_i)) |
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i)))))))) (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (*.f32 n0_i #s(literal -1/360 binary32))))) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))))) (*.f32 n0_i #s(literal 1/3 binary32)))) (neg.f32 n0_i)) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 (neg.f32 (*.f32 n0_i (cos.f32 normAngle))) (*.f32 normAngle (sin.f32 normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 (neg.f32 (*.f32 n0_i (cos.f32 normAngle))) (*.f32 normAngle (sin.f32 normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 (neg.f32 (*.f32 n0_i (cos.f32 normAngle))) (*.f32 normAngle (sin.f32 normAngle))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 (neg.f32 (*.f32 n0_i (cos.f32 normAngle))) (*.f32 normAngle (sin.f32 normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 (neg.f32 (*.f32 n0_i (cos.f32 normAngle))) (*.f32 normAngle (sin.f32 normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (* -1/2 (* n0_i u)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 (neg.f32 (*.f32 n0_i (cos.f32 normAngle))) (*.f32 normAngle (sin.f32 normAngle))))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(*.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (* -1/2 (* n0_i (pow normAngle 2))))) |
(*.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (* -1/2 (* n0_i (pow normAngle 2))))) |
(*.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (* -1/2 (* n0_i (pow normAngle 2))))) |
(*.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1 (* u (+ (* 1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))))) |
(neg.f32 (*.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))))) |
(* -1 (* u (+ (* 1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))))) |
(neg.f32 (*.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))))) |
(* -1 (* u (+ (* 1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))))) |
(neg.f32 (*.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) |
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) |
(* n1_i (+ 1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (fma.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i) (/.f32 (*.f32 (neg.f32 n0_i) (*.f32 normAngle (cos.f32 normAngle))) (*.f32 (sin.f32 normAngle) n1_i)))) n1_i) |
(* n1_i (+ 1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (fma.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i) (/.f32 (*.f32 (neg.f32 n0_i) (*.f32 normAngle (cos.f32 normAngle))) (*.f32 (sin.f32 normAngle) n1_i)))) n1_i) |
(* n1_i (+ 1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (fma.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i) (/.f32 (*.f32 (neg.f32 n0_i) (*.f32 normAngle (cos.f32 normAngle))) (*.f32 (sin.f32 normAngle) n1_i)))) n1_i) |
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) |
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) |
(* -1 (* n1_i (+ (* -1 (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n1_i))))) |
(*.f32 (neg.f32 (+.f32 (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n1_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n1_i))))) |
(*.f32 (neg.f32 (+.f32 (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n1_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n1_i))))) |
(*.f32 (neg.f32 (+.f32 (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n1_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) (neg.f32 n1_i)) |
(+ n1_i (* -1 n0_i)) |
(-.f32 n1_i n0_i) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))))) |
(fma.f32 normAngle (*.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) (-.f32 n1_i n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i)))))))) (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i)))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (*.f32 n0_i #s(literal -1/360 binary32))))) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) |
(* 7/360 (* n1_i (pow normAngle 4))) |
(*.f32 n1_i (*.f32 #s(literal 7/360 binary32) (pow.f32 normAngle #s(literal 4 binary32)))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 u (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))))) |
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (cos normAngle)) (* (pow normAngle 3) (sin normAngle)))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 normAngle (*.f32 normAngle normAngle)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 u (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))))) |
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (cos normAngle)) (* (pow normAngle 3) (sin normAngle)))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 normAngle (*.f32 normAngle normAngle)))) (fma.f32 n0_i (*.f32 (/.f32 u (*.f32 normAngle normAngle)) #s(literal -1/2 binary32)) (fma.f32 n1_i #s(literal 7/360 binary32) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32)))))))) |
(* 7/360 (* n1_i (pow normAngle 4))) |
(*.f32 n1_i (*.f32 #s(literal 7/360 binary32) (pow.f32 normAngle #s(literal 4 binary32)))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 u (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))))) |
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (cos normAngle)) (* (pow normAngle 3) (sin normAngle)))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 normAngle (*.f32 normAngle normAngle)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 u (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))))) |
(* (pow normAngle 4) (+ (* -1 (/ (+ (* -1 (/ n1_i normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle))) (pow normAngle 3))) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 u (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))) (/.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (neg.f32 normAngle))) (*.f32 normAngle (*.f32 normAngle normAngle))))) |
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) |
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) |
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) n0_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) n0_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) n0_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))) |
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(*.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(neg.f32 (*.f32 n0_i (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (neg.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) n0_i)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(neg.f32 (*.f32 n0_i (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (neg.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) n0_i)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(neg.f32 (*.f32 n0_i (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (neg.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) n0_i)))))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) |
(fma.f32 n0_i (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))) |
(*.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) u)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))) |
(*.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) u)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))) |
(*.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) u)))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(*.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) (/.f32 (fma.f32 n0_i (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) (neg.f32 u))) (neg.f32 u)) |
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(*.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) (/.f32 (fma.f32 n0_i (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) (neg.f32 u))) (neg.f32 u)) |
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(*.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) (/.f32 (fma.f32 n0_i (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) (neg.f32 u))) (neg.f32 u)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))))) |
(fma.f32 u (fma.f32 n0_i (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) n0_i) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(*.f32 n0_i (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))) |
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))) |
(*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) u))) (*.f32 u u)) |
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))) |
(*.f32 (*.f32 u u) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) u) (/.f32 n0_i (*.f32 u u)))))) |
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u))))) |
(*.f32 (*.f32 u u) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) u) (/.f32 n0_i (*.f32 u u)))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(*.f32 n0_i (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))) |
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) u)))) |
(*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i) u))) (*.f32 u u)) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2))))) |
(*.f32 (*.f32 u u) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (neg.f32 (fma.f32 n0_i (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 n0_i u)))) (neg.f32 u)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2))))) |
(*.f32 (*.f32 u u) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (neg.f32 (fma.f32 n0_i (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 n0_i u)))) (neg.f32 u)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 u (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n0_i) |
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) n0_i) |
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) n0_i) |
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) n0_i) |
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) |
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i)))) |
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n1_i) (/.f32 n0_i n1_i)))) |
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i)))) |
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n1_i) (/.f32 n0_i n1_i)))) |
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))) n1_i)))) |
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n1_i) (/.f32 n0_i n1_i)))) |
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) |
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(* -1 (* n1_i (+ (* -1 (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* -1 (/ (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 (fma.f32 u (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n0_i) n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* -1 (/ (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 (fma.f32 u (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n0_i) n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* -1 (/ (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 (fma.f32 u (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n0_i) n1_i))) (neg.f32 n1_i)) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))))))) |
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) n0_i)) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))) (* (pow normAngle 2) (* u (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i)))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))))) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i)))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))))) (* u (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* 7/360 n1_i))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))) (*.f32 (*.f32 u (-.f32 (*.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (*.f32 n0_i #s(literal -1/360 binary32)))))) (neg.f32 (*.f32 normAngle normAngle)))) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(* 7/360 (* n1_i (* (pow normAngle 4) u))) |
(*.f32 #s(literal 7/360 binary32) (*.f32 u (*.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))))) |
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 u (/.f32 (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle)) (*.f32 u (*.f32 n1_i #s(literal 7/360 binary32))))) |
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (* u (cos normAngle))) (* (pow normAngle 3) (sin normAngle)))) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (neg.f32 (/.f32 (*.f32 (cos.f32 normAngle) u) (*.f32 (sin.f32 normAngle) (*.f32 normAngle (*.f32 normAngle normAngle))))) (fma.f32 u (/.f32 (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle)) (*.f32 u (*.f32 n1_i #s(literal 7/360 binary32)))))) |
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (* u (cos normAngle))) (* (pow normAngle 3) (sin normAngle)))) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* n1_i u) (pow normAngle 4)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (neg.f32 (/.f32 (*.f32 (cos.f32 normAngle) u) (*.f32 (sin.f32 normAngle) (*.f32 normAngle (*.f32 normAngle normAngle))))) (fma.f32 u (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 u (/.f32 (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle)) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32)))))))) |
(* 7/360 (* n1_i (* (pow normAngle 4) u))) |
(*.f32 #s(literal 7/360 binary32) (*.f32 u (*.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))))) |
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2)))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 u (/.f32 (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle)) (*.f32 u (*.f32 n1_i #s(literal 7/360 binary32))))) |
(* (pow normAngle 4) (+ (* -1 (/ (* n0_i (* u (cos normAngle))) (* (pow normAngle 3) (sin normAngle)))) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (neg.f32 (/.f32 (*.f32 (cos.f32 normAngle) u) (*.f32 (sin.f32 normAngle) (*.f32 normAngle (*.f32 normAngle normAngle))))) (fma.f32 u (/.f32 (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle)) (*.f32 u (*.f32 n1_i #s(literal 7/360 binary32)))))) |
(* (pow normAngle 4) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (* n1_i u)) normAngle)) (/ (* n0_i (* u (cos normAngle))) (sin normAngle))) (pow normAngle 3))) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* -1/2 (* n0_i u)) (* 1/6 n1_i))) (pow normAngle 2))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 (fma.f32 u (/.f32 (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle)) (*.f32 u (*.f32 n1_i #s(literal 7/360 binary32)))) (/.f32 (-.f32 (/.f32 (*.f32 u (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (fma.f32 u n1_i n0_i) normAngle)) (*.f32 normAngle (*.f32 normAngle normAngle))))) |
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) |
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) n0_i) |
(+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) n0_i) |
(+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) n0_i) |
(* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) |
(fma.f32 u (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n0_i) |
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(* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)))) |
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(* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)))) |
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#s(literal 1 binary32) |
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(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i (neg.f32 (/.f32 u (*.f32 normAngle normAngle))) (fma.f32 n0_i (*.f32 u #s(literal 1/3 binary32)) (/.f32 n0_i (*.f32 normAngle normAngle)))))) |
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n0_i |
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(fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) |
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-1 |
#s(literal -1 binary32) |
(- (* 1/3 (pow normAngle 2)) 1) |
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(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u))) |
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 u n1_i (*.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))))) |
(* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) |
(fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) |
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i)))))) |
(fma.f32 n0_i (-.f32 (fma.f32 n1_i (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal 1/6 binary32)) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (/.f32 (*.f32 u n1_i) n0_i))) u) n0_i) |
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i)))))) |
(fma.f32 n0_i (-.f32 (fma.f32 n1_i (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal 1/6 binary32)) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (/.f32 (*.f32 u n1_i) n0_i))) u) n0_i) |
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i)))))) |
(fma.f32 n0_i (-.f32 (fma.f32 n1_i (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal 1/6 binary32)) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (/.f32 (*.f32 u n1_i) n0_i))) u) n0_i) |
(* -1 (* n0_i (- (+ u (* -1/3 (* (pow normAngle 2) u))) 1))) |
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(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1))) |
(neg.f32 (fma.f32 n0_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) (/.f32 (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u)) (neg.f32 n0_i))) (neg.f32 n0_i))) |
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1))) |
(neg.f32 (fma.f32 n0_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) (/.f32 (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u)) (neg.f32 n0_i))) (neg.f32 n0_i))) |
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1))) |
(neg.f32 (fma.f32 n0_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) (/.f32 (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u)) (neg.f32 n0_i))) (neg.f32 n0_i))) |
(+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) |
(fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) |
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))))) |
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 u n1_i (*.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))))) |
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))))) |
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 u n1_i (*.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))))) |
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))))) |
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 u n1_i (*.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))))) |
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u)) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i)))))) |
(*.f32 n1_i (+.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) (fma.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i) (/.f32 n0_i n1_i))) (fma.f32 (neg.f32 n0_i) (/.f32 u n1_i) u))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i)))))) |
(*.f32 n1_i (+.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) (fma.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i) (/.f32 n0_i n1_i))) (fma.f32 (neg.f32 n0_i) (/.f32 u n1_i) u))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i)))))) |
(*.f32 n1_i (+.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) (fma.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i) (/.f32 n0_i n1_i))) (fma.f32 (neg.f32 n0_i) (/.f32 u n1_i) u))) |
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) u))))) |
(neg.f32 (*.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u)))))) |
(neg.f32 (*.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (/.f32 (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) (neg.f32 n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u)))))) |
(neg.f32 (*.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (/.f32 (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) (neg.f32 n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u)))))) |
(neg.f32 (*.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) (/.f32 (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) (neg.f32 n1_i))))) |
n0_i |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(*.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i)) |
(*.f32 u (+.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i)))) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i)) |
(*.f32 u (+.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i)))) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i)) |
(*.f32 u (+.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i)))) |
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (* -1 (- n1_i n0_i))))) |
(neg.f32 (*.f32 (neg.f32 u) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)))) |
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))) |
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(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))) |
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(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))) |
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(+ n0_i (* u (- n1_i n0_i))) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(*.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (fma.f32 u (/.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)) (/.f32 n0_i (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (fma.f32 u (/.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)) (/.f32 n0_i (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (fma.f32 u (/.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)) (/.f32 n0_i (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(*.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (fma.f32 u (/.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)) (/.f32 n0_i (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (fma.f32 u (/.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)) (/.f32 n0_i (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (fma.f32 u (/.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)) (/.f32 n0_i (*.f32 normAngle normAngle))))) |
(* 1/6 (* n1_i (* normAngle u))) |
(*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) normAngle) u) |
(+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u)))) |
(*.f32 normAngle (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) |
(+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u)))) |
(*.f32 normAngle (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) |
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(*.f32 normAngle (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) |
(* 1/3 (* n0_i (* normAngle u))) |
(*.f32 (*.f32 u (*.f32 n0_i #s(literal 1/3 binary32))) normAngle) |
(* n0_i (+ (* 1/6 (/ (* n1_i (* normAngle u)) n0_i)) (* 1/3 (* normAngle u)))) |
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(* n0_i (+ (* 1/6 (/ (* n1_i (* normAngle u)) n0_i)) (* 1/3 (* normAngle u)))) |
(*.f32 n0_i (fma.f32 normAngle (*.f32 u #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) normAngle) u) n0_i))) |
(* n0_i (+ (* 1/6 (/ (* n1_i (* normAngle u)) n0_i)) (* 1/3 (* normAngle u)))) |
(*.f32 n0_i (fma.f32 normAngle (*.f32 u #s(literal 1/3 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) normAngle) u) n0_i))) |
(* 1/3 (* n0_i (* normAngle u))) |
(*.f32 (*.f32 u (*.f32 n0_i #s(literal 1/3 binary32))) normAngle) |
(* -1 (* n0_i (+ (* -1/3 (* normAngle u)) (* -1/6 (/ (* n1_i (* normAngle u)) n0_i))))) |
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(* -1 (* n0_i (+ (* -1/3 (* normAngle u)) (* -1/6 (/ (* n1_i (* normAngle u)) n0_i))))) |
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(* -1 (* n0_i (+ (* -1/3 (* normAngle u)) (* -1/6 (/ (* n1_i (* normAngle u)) n0_i))))) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 normAngle (*.f32 u n1_i)) n0_i) (*.f32 normAngle (*.f32 u #s(literal -1/3 binary32)))) (neg.f32 n0_i)) |
(* 1/3 (* n0_i (* normAngle u))) |
(*.f32 (*.f32 u (*.f32 n0_i #s(literal 1/3 binary32))) normAngle) |
(+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u)))) |
(*.f32 normAngle (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) |
(+ (* 1/6 (* n1_i (* normAngle u))) (* 1/3 (* n0_i (* normAngle u)))) |
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(+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) |
(+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) |
(+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) |
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 31/15120 binary32))) |
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 31/15120 binary32)))) |
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 31/15120 binary32)))) |
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 31/15120 binary32)))) |
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 31/15120 binary32))) |
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 31/15120 binary32)))) |
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 31/15120 binary32)))) |
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 31/15120 binary32)))) |
(* -31/15120 n1_i) |
(*.f32 n1_i #s(literal -31/15120 binary32)) |
(* -31/15120 n1_i) |
(*.f32 n1_i #s(literal -31/15120 binary32)) |
(* -31/15120 n1_i) |
(*.f32 n1_i #s(literal -31/15120 binary32)) |
(* -31/15120 n1_i) |
(*.f32 n1_i #s(literal -31/15120 binary32)) |
(* -31/15120 n1_i) |
(*.f32 n1_i #s(literal -31/15120 binary32)) |
(* -31/15120 n1_i) |
(*.f32 n1_i #s(literal -31/15120 binary32)) |
(* -31/15120 n1_i) |
(*.f32 n1_i #s(literal -31/15120 binary32)) |
(* -31/15120 n1_i) |
(*.f32 n1_i #s(literal -31/15120 binary32)) |
(* -31/15120 n1_i) |
(*.f32 n1_i #s(literal -31/15120 binary32)) |
(* -31/15120 n1_i) |
(*.f32 n1_i #s(literal -31/15120 binary32)) |
(* -31/15120 n1_i) |
(*.f32 n1_i #s(literal -31/15120 binary32)) |
(* -31/15120 n1_i) |
(*.f32 n1_i #s(literal -31/15120 binary32)) |
n0_i |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) (/ n0_i u))) n0_i)) |
(*.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i)))) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) (/ n0_i u))) n0_i)) |
(*.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i)))) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) (/ n0_i u))) n0_i)) |
(*.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i)))) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) |
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* -1 (/ n0_i u))))) |
(neg.f32 (*.f32 (neg.f32 u) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) (/.f32 n0_i u)))) |
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* -1 (/ n0_i u))))) |
(neg.f32 (*.f32 (neg.f32 u) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) (/.f32 n0_i u)))) |
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* -1 (/ n0_i u))))) |
(neg.f32 (*.f32 (neg.f32 u) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) (/.f32 n0_i u)))) |
(+ n0_i (* u (- n1_i n0_i))) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))) |
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (*.f32 u (*.f32 n1_i #s(literal 7/360 binary32)))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) n0_i)) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u)))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 n1_i #s(literal 31/15120 binary32))) (*.f32 u (*.f32 n1_i #s(literal 7/360 binary32)))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(* -1 (* (pow normAngle 6) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (*.f32 u (*.f32 n1_i #s(literal 31/15120 binary32)))) |
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i (*.f32 (/.f32 u (*.f32 normAngle normAngle)) #s(literal 7/360 binary32)) (*.f32 u (*.f32 n1_i #s(literal 31/15120 binary32))))) |
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4))))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 u (*.f32 n1_i #s(literal 31/15120 binary32)) (fma.f32 n1_i (*.f32 (/.f32 u (*.f32 normAngle normAngle)) #s(literal 7/360 binary32)) (/.f32 (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (pow.f32 normAngle #s(literal 4 binary32)))))) |
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6))))))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 u (*.f32 n1_i #s(literal 31/15120 binary32)) (fma.f32 n1_i (*.f32 (/.f32 u (*.f32 normAngle normAngle)) #s(literal 7/360 binary32)) (fma.f32 u (+.f32 (/.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 6 binary32)))) (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32))))))) |
(* -1 (* (pow normAngle 6) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (*.f32 u (*.f32 n1_i #s(literal 31/15120 binary32)))) |
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i (*.f32 (/.f32 u (*.f32 normAngle normAngle)) #s(literal 7/360 binary32)) (*.f32 u (*.f32 n1_i #s(literal 31/15120 binary32))))) |
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4))))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 u (*.f32 n1_i #s(literal 31/15120 binary32)) (fma.f32 n1_i (*.f32 (/.f32 u (*.f32 normAngle normAngle)) #s(literal 7/360 binary32)) (/.f32 (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (pow.f32 normAngle #s(literal 4 binary32)))))) |
(* (pow normAngle 6) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6))))))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 u (*.f32 n1_i #s(literal 31/15120 binary32)) (fma.f32 n1_i (*.f32 (/.f32 u (*.f32 normAngle normAngle)) #s(literal 7/360 binary32)) (fma.f32 u (+.f32 (/.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 6 binary32)))) (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32))))))) |
(+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) |
(fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) |
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))) |
(fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (fma.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u) n0_i)) |
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))) |
(fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (fma.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u) n0_i)) |
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))) |
(fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (fma.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u) n0_i)) |
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u)) |
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)))) |
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i) (/.f32 n0_i n1_i)))) |
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)))) |
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i) (/.f32 n0_i n1_i)))) |
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)))) |
(*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i) (/.f32 n0_i n1_i)))) |
(* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))) |
(*.f32 (*.f32 u (neg.f32 n1_i)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) #s(literal -1 binary32))) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))) |
(neg.f32 (*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) (neg.f32 n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))) |
(neg.f32 (*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) (neg.f32 n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))) |
(neg.f32 (*.f32 n1_i (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) (neg.f32 n1_i))))) |
(* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i)) |
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i)) |
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i)) |
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i)) |
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) |
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)))) |
(fma.f32 n0_i (*.f32 u (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))) n0_i) |
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)))) |
(fma.f32 n0_i (*.f32 u (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))) n0_i) |
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)))) |
(fma.f32 n0_i (*.f32 u (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))) n0_i) |
(* -1 (* n0_i (- (* u (+ 1 (* -1/3 (pow normAngle 2)))) 1))) |
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1))) |
(*.f32 (fma.f32 u (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i)) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32))) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1))) |
(*.f32 (fma.f32 u (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i)) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32))) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1))) |
(*.f32 (fma.f32 u (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i)) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32))) (neg.f32 n0_i)) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 #s(literal 7/360 binary32) (*.f32 (*.f32 normAngle normAngle) n1_i)))) (-.f32 n1_i n0_i)) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) |
(* -1 (* (pow normAngle 6) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) |
(*.f32 (*.f32 n1_i #s(literal 31/15120 binary32)) (pow.f32 normAngle #s(literal 6 binary32))) |
(* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2))))) |
(*.f32 (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 31/15120 binary32))) (pow.f32 normAngle #s(literal 6 binary32))) |
(* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (* 1/3 (/ n0_i (pow normAngle 4))))))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i #s(literal 31/15120 binary32) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (pow.f32 normAngle #s(literal 4 binary32))))))) |
(* (pow normAngle 6) (- (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (pow normAngle 6)))))) (/ n0_i (pow normAngle 6)))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (-.f32 (fma.f32 n1_i #s(literal 31/15120 binary32) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) #s(literal 1/3 binary32) (/.f32 n1_i (pow.f32 normAngle #s(literal 6 binary32))))))) (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32))))) |
(* -1 (* (pow normAngle 6) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) |
(*.f32 (*.f32 n1_i #s(literal 31/15120 binary32)) (pow.f32 normAngle #s(literal 6 binary32))) |
(* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (* 7/360 (/ n1_i (pow normAngle 2))))) |
(*.f32 (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 31/15120 binary32))) (pow.f32 normAngle #s(literal 6 binary32))) |
(* (pow normAngle 6) (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (* 1/3 (/ n0_i (pow normAngle 4))))))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i #s(literal 31/15120 binary32) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (pow.f32 normAngle #s(literal 4 binary32))))))) |
(* (pow normAngle 6) (- (+ (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i))) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (pow normAngle 6)))))) (/ n0_i (pow normAngle 6)))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (-.f32 (fma.f32 n1_i #s(literal 31/15120 binary32) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) #s(literal 1/3 binary32) (/.f32 n1_i (pow.f32 normAngle #s(literal 6 binary32))))))) (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32))))) |
(- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) n0_i) |
(fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) n0_i) |
(fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) n0_i) |
(fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) |
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) n1_i) n1_i) |
(* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i n1_i))) |
(+.f32 n1_i (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i)))) |
(* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i n1_i))) |
(+.f32 n1_i (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i)))) |
(* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i n1_i))) |
(+.f32 n1_i (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i)))) |
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))) |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1))) |
(neg.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) (neg.f32 (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i))) n1_i (neg.f32 n1_i))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1))) |
(neg.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) (neg.f32 (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i))) n1_i (neg.f32 n1_i))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1))) |
(neg.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) (neg.f32 (/.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n1_i))) n1_i (neg.f32 n1_i))) |
(+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) |
(+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i)) |
(+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i)) |
(+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i)) |
(* n0_i (- (* 1/3 (pow normAngle 2)) 1)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1)) |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i) (/.f32 n1_i n0_i))) (neg.f32 n0_i)) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1)) |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i) (/.f32 n1_i n0_i))) (neg.f32 n0_i)) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1)) |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i) (/.f32 n1_i n0_i))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) |
(neg.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) n0_i)) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2)))))) |
(neg.f32 (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal -1/3 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i))) n0_i)) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2)))))) |
(neg.f32 (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal -1/3 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i))) n0_i)) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* -1/3 (pow normAngle 2)))))) |
(neg.f32 (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal -1/3 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i))) n0_i)) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* (pow normAngle 2) u) |
(*.f32 (*.f32 normAngle normAngle) u) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(* -7/2160 n1_i) |
(*.f32 n1_i #s(literal -7/2160 binary32)) |
(* -7/2160 n1_i) |
(*.f32 n1_i #s(literal -7/2160 binary32)) |
(* -7/2160 n1_i) |
(*.f32 n1_i #s(literal -7/2160 binary32)) |
(* -7/2160 n1_i) |
(*.f32 n1_i #s(literal -7/2160 binary32)) |
(* -7/2160 n1_i) |
(*.f32 n1_i #s(literal -7/2160 binary32)) |
(* -7/2160 n1_i) |
(*.f32 n1_i #s(literal -7/2160 binary32)) |
(* -7/2160 n1_i) |
(*.f32 n1_i #s(literal -7/2160 binary32)) |
(* -7/2160 n1_i) |
(*.f32 n1_i #s(literal -7/2160 binary32)) |
(* -7/2160 n1_i) |
(*.f32 n1_i #s(literal -7/2160 binary32)) |
(* -7/2160 n1_i) |
(*.f32 n1_i #s(literal -7/2160 binary32)) |
(* -7/2160 n1_i) |
(*.f32 n1_i #s(literal -7/2160 binary32)) |
(* -7/2160 n1_i) |
(*.f32 n1_i #s(literal -7/2160 binary32)) |
(* 7/360 n1_i) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
(* 7/360 n1_i) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
(* 7/360 n1_i) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
(* 7/360 n1_i) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
(* 7/360 n1_i) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
(* 7/360 n1_i) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
(* 7/360 n1_i) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
(* 7/360 n1_i) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
(* 7/360 n1_i) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
(* 7/360 n1_i) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
(* 7/360 n1_i) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
(* 7/360 n1_i) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
(* 1/3 n0_i) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
(* 1/3 n0_i) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
(* 1/3 n0_i) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
(* 1/3 n0_i) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
(* 1/3 n0_i) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
(* 1/3 n0_i) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
(* 1/3 n0_i) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
(* 1/3 n0_i) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
(* 1/3 n0_i) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
(* 1/3 n0_i) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
(* 1/3 n0_i) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
(* 1/3 n0_i) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
Compiled 74 061 to 3 058 computations (95.9% saved)
37 alts after pruning (33 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 220 | 15 | 1 235 |
| Fresh | 7 | 18 | 25 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 230 | 37 | 1 267 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 58.3% | (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
| 99.2% | (fma.f32 (-.f32 n1_i n0_i) u (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))))) | |
| 98.4% | (fma.f32 (-.f32 n1_i n0_i) u n0_i) | |
| 83.9% | (fma.f32 (*.f32 (/.f32 (*.f32 (fma.f32 (*.f32 n0_i (*.f32 n0_i n0_i)) #s(literal 1/27 binary32) (*.f32 #s(literal 1/216 binary32) (*.f32 n1_i (*.f32 n1_i n1_i)))) u) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 #s(literal -1/3 binary32) n0_i)) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/9 binary32)))) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) | |
| 99.4% | (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (neg.f32 (*.f32 u (fma.f32 n0_i #s(literal -1/45 binary32) (*.f32 n1_i #s(literal -7/360 binary32)))))) normAngle) normAngle (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))) | |
| 98.9% | (fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) | |
| 98.7% | (fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) | |
| 99.4% | (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))))) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) | |
| 99.4% | (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) | |
| 99.4% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) | |
| 99.3% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) | |
| 99.2% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i) | |
| 99.4% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) n0_i) | |
| 83.9% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) n1_i) n1_i) n0_i) | |
| 99.2% | (fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) (-.f32 n1_i n0_i)) n0_i) | |
| 99.4% | (fma.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))) n0_i) | |
| 97.9% | (fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)))) | |
| ✓ | 98.1% | (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
| 58.0% | (fma.f32 n0_i (neg.f32 u) n0_i) | |
| 83.3% | (fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i)) | |
| 7.7% | (/.f32 (fma.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) | |
| 34.2% | (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) | |
| 58.2% | (*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i)) | |
| 41.5% | (*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u)))) | |
| 40.4% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) | |
| 99.1% | (*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) n1_i))) (neg.f32 n1_i)) | |
| 41.7% | (*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) | |
| 58.0% | (*.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 n0_i u))) | |
| 41.8% | (*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u)) | |
| 41.7% | (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u)) | |
| 41.9% | (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u)) | |
| ✓ | 41.7% | (*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)) |
| 41.3% | (*.f32 n1_i u) | |
| 57.9% | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) | |
| 58.2% | (*.f32 n0_i (neg.f32 (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32))) #s(literal -1 binary32))))) | |
| 97.7% | (neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u))))) | |
| ✓ | 47.1% | n0_i |
Compiled 2 279 to 856 computations (62.4% saved)
| Inputs |
|---|
n0_i |
(*.f32 n0_i #s(literal 1 binary32)) |
(*.f32 n1_i u) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u)) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u)) |
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u))))) |
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i)) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32)))) |
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)))) |
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u)) |
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(*.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 n0_i u))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i) |
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(*.f32 n0_i (neg.f32 (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32))) #s(literal -1 binary32))))) |
(fma.f32 (-.f32 n1_i n0_i) u (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))))) |
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u)) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) n1_i) n1_i) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (-.f32 #s(literal 1 binary32) u))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u)))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) |
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (neg.f32 (*.f32 u (fma.f32 n0_i #s(literal -1/45 binary32) (*.f32 n1_i #s(literal -7/360 binary32)))))) normAngle) normAngle (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))) |
(fma.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))))) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(fma.f32 (*.f32 (/.f32 (*.f32 (fma.f32 (*.f32 n0_i (*.f32 n0_i n0_i)) #s(literal 1/27 binary32) (*.f32 #s(literal 1/216 binary32) (*.f32 n1_i (*.f32 n1_i n1_i)))) u) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 #s(literal -1/3 binary32) n0_i)) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/9 binary32)))) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) |
(fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (*.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (neg.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) n1_i))) (neg.f32 n1_i)) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) |
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(+.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(fma.f32 u (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle (*.f32 normAngle u))))) n0_i) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))) |
(fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u) n1_i)) |
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) n1_i)) |
(/.f32 (fma.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))) |
| Outputs |
|---|
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))))) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
5 calls:
| 48.0ms | n0_i |
| 37.0ms | n1_i |
| 34.0ms | normAngle |
| 20.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 19.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | normAngle |
| 99.4% | 1 | u |
| 99.4% | 1 | n0_i |
| 99.4% | 1 | n1_i |
| 99.4% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 49 to 33 computations (32.7% saved)
| Inputs |
|---|
n0_i |
(*.f32 n0_i #s(literal 1 binary32)) |
(*.f32 n1_i u) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u)) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u)) |
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u))))) |
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i)) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32)))) |
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)))) |
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u)) |
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(*.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 n0_i u))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i) |
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(*.f32 n0_i (neg.f32 (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32))) #s(literal -1 binary32))))) |
(fma.f32 (-.f32 n1_i n0_i) u (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))))) |
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u)) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) n1_i) n1_i) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (-.f32 #s(literal 1 binary32) u))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u)))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) |
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (neg.f32 (*.f32 u (fma.f32 n0_i #s(literal -1/45 binary32) (*.f32 n1_i #s(literal -7/360 binary32)))))) normAngle) normAngle (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))) |
(fma.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) u) (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
| Outputs |
|---|
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) n0_i) |
5 calls:
| 16.0ms | n0_i |
| 15.0ms | u |
| 15.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 14.0ms | n1_i |
| 14.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | normAngle |
| 99.4% | 1 | u |
| 99.4% | 1 | n0_i |
| 99.4% | 1 | n1_i |
| 99.4% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 49 to 33 computations (32.7% saved)
| Inputs |
|---|
n0_i |
(*.f32 n0_i #s(literal 1 binary32)) |
(*.f32 n1_i u) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u)) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u)) |
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u))))) |
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i)) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32)))) |
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)))) |
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u)) |
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(*.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 n0_i u))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i) |
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(*.f32 n0_i (neg.f32 (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32))) #s(literal -1 binary32))))) |
(fma.f32 (-.f32 n1_i n0_i) u (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))))) |
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u)) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) n1_i) n1_i) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (-.f32 #s(literal 1 binary32) u))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u)))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) |
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (neg.f32 (*.f32 u (fma.f32 n0_i #s(literal -1/45 binary32) (*.f32 n1_i #s(literal -7/360 binary32)))))) normAngle) normAngle (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))) |
(fma.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (fma.f32 n1_i (*.f32 #s(literal -31/15120 binary32) (*.f32 normAngle (neg.f32 normAngle))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))))) n0_i) |
| Outputs |
|---|
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
5 calls:
| 15.0ms | n0_i |
| 14.0ms | n1_i |
| 14.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 14.0ms | u |
| 13.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | normAngle |
| 99.4% | 1 | u |
| 99.4% | 1 | n0_i |
| 99.4% | 1 | n1_i |
| 99.4% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 49 to 33 computations (32.7% saved)
| Inputs |
|---|
n0_i |
(*.f32 n0_i #s(literal 1 binary32)) |
(*.f32 n1_i u) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u)) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u)) |
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u))))) |
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i)) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32)))) |
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)))) |
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u)) |
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(*.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 n0_i u))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i) |
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(*.f32 n0_i (neg.f32 (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32))) #s(literal -1 binary32))))) |
(fma.f32 (-.f32 n1_i n0_i) u (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))))) |
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u)) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) n1_i) n1_i) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (-.f32 #s(literal 1 binary32) u))) |
| Outputs |
|---|
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
5 calls:
| 14.0ms | n1_i |
| 12.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 11.0ms | u |
| 11.0ms | normAngle |
| 11.0ms | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 1 | normAngle |
| 99.3% | 1 | u |
| 99.3% | 1 | n0_i |
| 99.3% | 1 | n1_i |
| 99.3% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 49 to 33 computations (32.7% saved)
| Inputs |
|---|
n0_i |
(*.f32 n0_i #s(literal 1 binary32)) |
(*.f32 n1_i u) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u)) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u)) |
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u))))) |
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i)) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32)))) |
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)))) |
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u)) |
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(*.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 n0_i u))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i) |
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(*.f32 n0_i (neg.f32 (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32))) #s(literal -1 binary32))))) |
(fma.f32 (-.f32 n1_i n0_i) u (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))))) |
(+.f32 (*.f32 #s(literal 1 binary32) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u)) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) n1_i) n1_i) n0_i) |
| Outputs |
|---|
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
5 calls:
| 16.0ms | n1_i |
| 14.0ms | u |
| 12.0ms | n0_i |
| 12.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 11.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | normAngle |
| 99.2% | 1 | u |
| 99.2% | 1 | n0_i |
| 99.2% | 1 | n1_i |
| 99.2% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 49 to 33 computations (32.7% saved)
| Inputs |
|---|
n0_i |
(*.f32 n0_i #s(literal 1 binary32)) |
(*.f32 n1_i u) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u)) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u)) |
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u))))) |
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i)) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32)))) |
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)))) |
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u)) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) u)) |
(*.f32 u (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i) n1_i)) |
(*.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 n0_i u))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (neg.f32 u)) n0_i) |
| Outputs |
|---|
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
5 calls:
| 19.0ms | n1_i |
| 13.0ms | u |
| 9.0ms | normAngle |
| 9.0ms | n0_i |
| 9.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | n1_i |
| 99.2% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 99.2% | 1 | normAngle |
| 99.2% | 1 | u |
| 99.2% | 1 | n0_i |
Compiled 49 to 33 computations (32.7% saved)
| Inputs |
|---|
n0_i |
(*.f32 n0_i #s(literal 1 binary32)) |
(*.f32 n1_i u) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u)) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u)) |
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u))))) |
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i)) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32)))) |
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)))) |
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
| Outputs |
|---|
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
5 calls:
| 48.0ms | n1_i |
| 8.0ms | u |
| 7.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 7.0ms | n0_i |
| 7.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | normAngle |
| 98.9% | 1 | u |
| 98.9% | 1 | n0_i |
| 98.9% | 1 | n1_i |
| 98.9% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 49 to 33 computations (32.7% saved)
| Inputs |
|---|
n0_i |
(*.f32 n0_i #s(literal 1 binary32)) |
(*.f32 n1_i u) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u)) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u)) |
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u))))) |
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i)) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32)))) |
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)))) |
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
| Outputs |
|---|
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
5 calls:
| 10.0ms | n1_i |
| 7.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 7.0ms | u |
| 6.0ms | normAngle |
| 6.0ms | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 98.7% | 1 | normAngle |
| 98.7% | 1 | u |
| 98.7% | 1 | n0_i |
| 98.7% | 1 | n1_i |
Compiled 49 to 33 computations (32.7% saved)
| Inputs |
|---|
n0_i |
(*.f32 n0_i #s(literal 1 binary32)) |
(*.f32 n1_i u) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 normAngle (*.f32 normAngle (*.f32 u #s(literal 1/6 binary32))) u)) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u)) |
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i) |
(neg.f32 (*.f32 u (-.f32 n0_i (+.f32 n1_i (/.f32 n0_i u))))) |
(*.f32 (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i)) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(*.f32 n0_i (neg.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32)))) |
(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i)) |
(fma.f32 u n1_i (*.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)))) |
| Outputs |
|---|
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
5 calls:
| 8.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 7.0ms | u |
| 7.0ms | normAngle |
| 6.0ms | n0_i |
| 6.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | normAngle |
| 98.4% | 1 | u |
| 98.4% | 1 | n0_i |
| 98.4% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 98.4% | 1 | n1_i |
Compiled 49 to 33 computations (32.7% saved)
| Inputs |
|---|
n0_i |
(*.f32 n0_i #s(literal 1 binary32)) |
(*.f32 n1_i u) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
| Outputs |
|---|
(fma.f32 n0_i (neg.f32 u) n0_i) |
(*.f32 n1_i u) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
5 calls:
| 3.0ms | n0_i |
| 3.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 3.0ms | u |
| 2.0ms | normAngle |
| 2.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.6% | 3 | n0_i |
| 74.6% | 3 | n1_i |
| 58.0% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 58.0% | 1 | normAngle |
| 58.0% | 1 | u |
Compiled 49 to 33 computations (32.7% saved)
| Inputs |
|---|
n0_i |
(*.f32 n0_i #s(literal 1 binary32)) |
(*.f32 n1_i u) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
| Outputs |
|---|
(*.f32 n1_i u) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(*.f32 n1_i u) |
2 calls:
| 2.0ms | n0_i |
| 2.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.5% | 3 | n1_i |
| 74.4% | 3 | n0_i |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
n0_i |
(*.f32 n0_i #s(literal 1 binary32)) |
(*.f32 n1_i u) |
| Outputs |
|---|
(*.f32 n1_i u) |
n0_i |
(*.f32 n1_i u) |
2 calls:
| 2.0ms | n0_i |
| 2.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.1% | 3 | n0_i |
| 66.0% | 3 | n1_i |
Compiled 10 to 8 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
n0_i |
(*.f32 n0_i #s(literal 1 binary32)) |
| Outputs |
|---|
n0_i |
5 calls:
| 8.0ms | n1_i |
| 2.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 2.0ms | n0_i |
| 2.0ms | normAngle |
| 1.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.1% | 1 | u |
| 47.1% | 1 | normAngle |
| 47.1% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 47.1% | 1 | n0_i |
| 47.1% | 1 | n1_i |
Compiled 49 to 33 computations (32.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5405225971078825e-28 | 2.4926706528201456e-27 |
| 0.0ms | -4.86074047528974e-28 | -6.049714289422172e-29 |
Compiled 32 to 24 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.4294056362666008e-17 | 2.4748608652876147e-17 |
| 0.0ms | -9.390450030770958e-19 | -8.444512131649458e-19 |
Compiled 32 to 24 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.4294056362666008e-17 | 2.4748608652876147e-17 |
| 0.0ms | -9.390450030770958e-19 | -8.444512131649458e-19 |
Compiled 32 to 24 computations (25% saved)
| 1× | egg-herbie |
| 446× | distribute-lft-neg-in_binary32 |
| 362× | unsub-neg_binary32 |
| 314× | neg-mul-1_binary32 |
| 232× | neg-sub0_binary32 |
| 196× | cancel-sign-sub_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 256 |
| 1 | 113 | 256 |
| 2 | 128 | 256 |
| 3 | 149 | 256 |
| 4 | 173 | 256 |
| 5 | 191 | 256 |
| 6 | 225 | 256 |
| 7 | 335 | 256 |
| 8 | 444 | 256 |
| 9 | 492 | 256 |
| 10 | 636 | 256 |
| 11 | 802 | 256 |
| 12 | 982 | 256 |
| 13 | 1159 | 256 |
| 14 | 1286 | 256 |
| 15 | 1365 | 256 |
| 16 | 1416 | 256 |
| 17 | 1453 | 256 |
| 18 | 1479 | 256 |
| 19 | 1486 | 256 |
| 20 | 1487 | 256 |
| 1× | saturated |
| Inputs |
|---|
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))))) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(if (<=.f32 n0_i #s(literal -8307675/20769187434139310514121985316880384 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (if (<=.f32 n0_i #s(literal 5192297/10384593717069655257060992658440192 binary32)) (*.f32 n1_i u) (fma.f32 n0_i (neg.f32 u) n0_i))) |
(if (<=.f32 n1_i #s(literal -4352133/4835703278458516698824704 binary32)) (*.f32 n1_i u) (if (<=.f32 n1_i #s(literal 14809341/604462909807314587353088 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) |
(if (<=.f32 n1_i #s(literal -4352133/4835703278458516698824704 binary32)) (*.f32 n1_i u) (if (<=.f32 n1_i #s(literal 14809341/604462909807314587353088 binary32)) n0_i (*.f32 n1_i u))) |
n0_i |
| Outputs |
|---|
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))))) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))) (*.f32 n0_i #s(literal 1/24 binary32))))) (*.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 u n0_i)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (-.f32 (fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32))) (*.f32 n0_i #s(literal 1/24 binary32)))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (*.f32 u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (*.f32 normAngle (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 (*.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (*.f32 normAngle (*.f32 u (*.f32 n1_i #s(literal 1/6 binary32)))) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (*.f32 (*.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (*.f32 normAngle (*.f32 u (*.f32 n0_i #s(literal 1/3 binary32)))) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(if (<=.f32 n0_i #s(literal -8307675/20769187434139310514121985316880384 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (if (<=.f32 n0_i #s(literal 5192297/10384593717069655257060992658440192 binary32)) (*.f32 n1_i u) (fma.f32 n0_i (neg.f32 u) n0_i))) |
(if (<=.f32 n0_i #s(literal -8307675/20769187434139310514121985316880384 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (if (<=.f32 n0_i #s(literal 5192297/10384593717069655257060992658440192 binary32)) (*.f32 u n1_i) (fma.f32 n0_i (neg.f32 u) n0_i))) |
(if (<=.f32 n1_i #s(literal -4352133/4835703278458516698824704 binary32)) (*.f32 n1_i u) (if (<=.f32 n1_i #s(literal 14809341/604462909807314587353088 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) |
(if (<=.f32 n1_i #s(literal -4352133/4835703278458516698824704 binary32)) (*.f32 u n1_i) (if (<=.f32 n1_i #s(literal 14809341/604462909807314587353088 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))) |
(if (<=.f32 n1_i #s(literal -4352133/4835703278458516698824704 binary32)) (*.f32 n1_i u) (if (<=.f32 n1_i #s(literal 14809341/604462909807314587353088 binary32)) n0_i (*.f32 n1_i u))) |
(if (<=.f32 n1_i #s(literal -4352133/4835703278458516698824704 binary32)) (*.f32 u n1_i) (if (<=.f32 n1_i #s(literal 14809341/604462909807314587353088 binary32)) n0_i (*.f32 u n1_i))) |
n0_i |
| 15 672× | lower-fma.f64 |
| 15 672× | lower-fma.f32 |
| 14 352× | lower-fma.f64 |
| 14 352× | lower-fma.f32 |
| 12 490× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 214 |
| 0 | 90 | 200 |
| 1 | 379 | 184 |
| 2 | 3303 | 184 |
| 0 | 8518 | 182 |
| 0 | 660 | 10777 |
| 1 | 2312 | 10167 |
| 0 | 8406 | 9305 |
| 0 | 507 | 7527 |
| 1 | 1762 | 6842 |
| 2 | 6626 | 6835 |
| 0 | 8032 | 6236 |
| 0 | 854 | 10581 |
| 1 | 2953 | 10039 |
| 0 | 8941 | 9443 |
| 0 | 321 | 2830 |
| 1 | 987 | 2714 |
| 2 | 3385 | 2654 |
| 0 | 8124 | 2540 |
| 1× | fuel |
| 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 |
| 1× | node limit |
| 1× | iter limit |
Compiled 550 to 287 computations (47.8% saved)
(abs normAngle)
Compiled 1 236 to 584 computations (52.8% saved)
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