
Time bar (total: 14.9s)
| 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 |
| 796.0ms | 1 996× | 0 | invalid |
ival-mult: 546.0ms (24.8% of total)ival-sin: 481.0ms (21.9% of total)ival-<=: 464.0ms (21.1% of total)const: 236.0ms (10.7% of total)ival-div: 200.0ms (9.1% of total)ival-sub: 108.0ms (4.9% of total)ival-and: 48.0ms (2.2% of total)ival-pi: 47.0ms (2.1% of total)ival-add: 43.0ms (2% of total)exact: 20.0ms (0.9% of total)ival-assert: 4.0ms (0.2% of total)| 1× | egg-herbie |
| 1 402× | unsub-neg |
| 1 014× | times-frac |
| 832× | accelerator-lowering-fma.f32 |
| 832× | accelerator-lowering-fma.f64 |
| 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 |
| 1 | 36 | 21 |
| 2 | 76 | 20 |
| 3 | 144 | 18 |
| 4 | 191 | 18 |
| 5 | 226 | 18 |
| 6 | 270 | 18 |
| 7 | 355 | 18 |
| 8 | 499 | 18 |
| 9 | 600 | 18 |
| 10 | 740 | 18 |
| 11 | 1182 | 18 |
| 12 | 1891 | 18 |
| 13 | 2299 | 18 |
| 14 | 2318 | 18 |
| 15 | 2319 | 18 |
| 16 | 2319 | 18 |
| 0 | 2319 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
| Outputs |
|---|
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i)) (sin.f32 normAngle)) |
(abs normAngle)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 23 | 0 | - | 21 | (9.467198208870208e-38 7.232459211081732e-6 0.0046797762624919415 4.2712883896456333e-7) | (*.f32 (sin.f32 (*.f32 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 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (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 | 2 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 8 |
| - | 2 | 246 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 8 |
| - | 2 | 0 | 246 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 62.0ms | 492× | 0 | valid |
| 12.0ms | 18× | 5 | exit |
| 1.0ms | 2× | 2 | valid |
Compiled 264 to 72 computations (72.7% saved)
ival-mult: 19.0ms (37.8% of total)ival-sin: 17.0ms (33.9% of total)ival-div: 6.0ms (12% of total)ival-sub: 3.0ms (6% of total)ival-add: 3.0ms (6% of total)adjust: 2.0ms (4% 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 |
|---|---|---|
| ▶ | 97.5% | (+.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 (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× | accelerator-lowering-fma.f32 |
| 832× | accelerator-lowering-fma.f64 |
| 576× | *-lowering-*.f32 |
| 576× | *-lowering-*.f64 |
| 492× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 101 |
| 1 | 36 | 89 |
| 2 | 76 | 88 |
| 3 | 144 | 86 |
| 4 | 191 | 86 |
| 5 | 226 | 86 |
| 6 | 270 | 86 |
| 7 | 355 | 86 |
| 8 | 499 | 86 |
| 9 | 600 | 86 |
| 10 | 740 | 86 |
| 11 | 1182 | 86 |
| 12 | 1891 | 86 |
| 13 | 2299 | 86 |
| 14 | 2318 | 86 |
| 15 | 2319 | 86 |
| 16 | 2319 | 86 |
| 0 | 2319 | 85 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) |
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) |
(sin (* (- 1 u) normAngle)) |
(* (- 1 u) normAngle) |
(- 1 u) |
1 |
u |
normAngle |
(/ 1 (sin normAngle)) |
(sin normAngle) |
n0_i |
(* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) |
(* (sin (* u normAngle)) (/ 1 (sin normAngle))) |
(sin (* u normAngle)) |
(* u normAngle) |
n1_i |
| Outputs |
|---|
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i)) (sin.f32 normAngle)) |
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) |
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(sin (* (- 1 u) normAngle)) |
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) |
(* (- 1 u) normAngle) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
normAngle |
(/ 1 (sin normAngle)) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin normAngle) |
(sin.f32 normAngle) |
n0_i |
(* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
(* (sin (* u normAngle)) (/ 1 (sin normAngle))) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(sin (* u normAngle)) |
(sin.f32 (*.f32 u normAngle)) |
(* 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 | 99.6% | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| ✓ | accuracy | 98.7% | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | accuracy | 94.9% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 29.0ms | 246× | 0 | valid |
| 5.0ms | 9× | 5 | exit |
| 0.0ms | 1× | 2 | valid |
Compiled 103 to 19 computations (81.6% saved)
ival-mult: 9.0ms (40.4% of total)ival-sin: 7.0ms (31.4% of total)ival-div: 2.0ms (9% of total)ival-sub: 2.0ms (9% of total)adjust: 1.0ms (4.5% of total)ival-add: 1.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))> |
#<alt (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))> |
#<alt (* (sin (* u normAngle)) (/ 1 (sin normAngle)))> |
#<alt (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)> |
#<alt (* (- 1 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 | |
|---|---|---|---|---|
| 5.0ms | normAngle | @ | 0 | (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_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 | u | @ | inf | (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
| 2.0ms | u | @ | -inf | (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
| 1× | batch-egg-rewrite |
| 7 546× | accelerator-lowering-fma.f32 |
| 7 546× | accelerator-lowering-fma.f64 |
| 5 814× | *-lowering-*.f32 |
| 5 814× | *-lowering-*.f64 |
| 2 004× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 53 |
| 1 | 71 | 53 |
| 2 | 457 | 52 |
| 3 | 4831 | 52 |
| 0 | 8474 | 51 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) |
(* (sin (* u normAngle)) (/ 1 (sin normAngle))) |
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) |
(* (- 1 u) normAngle) |
| Outputs |
|---|
(neg.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.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 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))))))))))) |
(neg.f32 (/.f32 (fma.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 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)))))))) (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 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.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 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)))))))))) |
(neg.f32 (/.f32 (neg.f32 (fma.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 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 (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 (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)))) |
(+.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(+.f32 (/.f32 (*.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 (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 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (/.f32 (*.f32 n1_i 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 (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)) (fma.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))))) (*.f32 n1_i n1_i) (*.f32 (neg.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))))))))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.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 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 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 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (/.f32 (*.f32 n1_i 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 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (exp.f32 (log.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (/.f32 n0_i #s(literal 1 binary32)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
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(fma.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 (*.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 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (/.f32 (*.f32 n1_i 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 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))) |
(fma.f32 (*.f32 n0_i n0_i) (/.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 (-.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 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (/.f32 (*.f32 n1_i 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 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))) |
(fma.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i)) #s(literal -1 binary32) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (-.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 (/.f32 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))) (neg.f32 (/.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 (*.f32 n1_i 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 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))) |
(fma.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
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(fma.f32 (*.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 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 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (/.f32 (*.f32 n1_i 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 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))) |
(fma.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(fma.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(fma.f32 (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(fma.f32 (*.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 (*.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 (/.f32 (*.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))))))) (fma.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 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 #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))) (neg.f32 (/.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 (*.f32 n1_i 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 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))) |
(fma.f32 (/.f32 (*.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 (pow.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 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 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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.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))))) (neg.f32 (/.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 (*.f32 n1_i 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 (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 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 normAngle (+.f32 #s(literal 1 binary32) u))) |
(*.f32 (+.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (/.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) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))) |
(*.f32 (/.f32 (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u)) |
(*.f32 (/.f32 (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u u 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))) |
| 1× | egg-herbie |
| 12 022× | accelerator-lowering-fma.f32 |
| 12 022× | accelerator-lowering-fma.f64 |
| 6 426× | +-lowering-+.f64 |
| 6 426× | +-lowering-+.f32 |
| 5 452× | *-lowering-*.f32 |
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 15 019 to 1 047 computations (93% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 381 | 15 | 396 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 382 | 15 | 397 |
| Status | Accuracy | Program |
|---|---|---|
| 97.7% | (fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) | |
| 98.7% | (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))) | |
| 98.2% | (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))) | |
| ▶ | 99.0% | (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) |
| 96.9% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) | |
| 97.2% | (+.f32 (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)))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.0% | (+.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)) | |
| ▶ | 97.2% | (+.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)) |
| 98.4% | (+.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)) | |
| ▶ | 97.4% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i)) |
| 80.8% | (+.f32 n0_i (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 78.0% | (*.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))) | |
| ▶ | 40.6% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
| 57.9% | (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))) | |
| ▶ | 45.5% | n0_i |
Compiled 842 to 462 computations (45.1% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.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) |
| ✓ | cost-diff | 64 | (+.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)) |
| ✓ | cost-diff | 128 | (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) |
| ✓ | cost-diff | 160 | (*.f32 (sin.f32 (*.f32 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 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 | (/.f32 n1_i (sin.f32 normAngle)) |
| ✓ | cost-diff | 0 | (*.f32 u normAngle) |
| ✓ | cost-diff | 0 | (sin.f32 (*.f32 u normAngle)) |
| ✓ | cost-diff | 0 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
| ✓ | 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)))) |
| 9 726× | accelerator-lowering-fma.f32 |
| 9 726× | accelerator-lowering-fma.f64 |
| 3 422× | *-lowering-*.f32 |
| 3 422× | *-lowering-*.f64 |
| 3 346× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 325 |
| 1 | 110 | 315 |
| 2 | 350 | 306 |
| 3 | 1529 | 288 |
| 4 | 4496 | 283 |
| 0 | 8399 | 272 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* u (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))) n0_i) |
u |
(+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) |
n0_i |
(/ (* normAngle (cos normAngle)) (neg (sin normAngle))) |
(* normAngle (cos normAngle)) |
normAngle |
(cos normAngle) |
(neg (sin normAngle)) |
(sin normAngle) |
(* normAngle (/ n1_i (sin normAngle))) |
(/ n1_i (sin normAngle)) |
n1_i |
n0_i |
(* (sin (* u normAngle)) (/ n1_i (sin normAngle))) |
(sin (* u normAngle)) |
(* u normAngle) |
u |
normAngle |
(/ n1_i (sin normAngle)) |
n1_i |
(sin normAngle) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* u n1_i)) |
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) |
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) |
(sin (* (- 1 u) normAngle)) |
(* (- 1 u) normAngle) |
(- 1 u) |
1 |
u |
normAngle |
(/ 1 (sin normAngle)) |
(sin normAngle) |
n0_i |
(* u n1_i) |
n1_i |
(+ (* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i) |
(+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) |
(* normAngle normAngle) |
normAngle |
(* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1)) |
(+ (* u 1/6) -1/6) |
u |
1/6 |
-1/6 |
(+ (* (- 1 u) (- 1 u)) -1) |
(- 1 u) |
1 |
-1 |
n0_i |
(* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) |
(* (sin (* u normAngle)) (/ 1 (sin normAngle))) |
(sin (* u normAngle)) |
(* u normAngle) |
(/ 1 (sin normAngle)) |
(sin normAngle) |
n1_i |
| Outputs |
|---|
(+ (* u (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin 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 |
(+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i)) |
n0_i |
(/ (* normAngle (cos normAngle)) (neg (sin normAngle))) |
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) |
(* normAngle (cos normAngle)) |
(*.f32 normAngle (cos.f32 normAngle)) |
normAngle |
(cos normAngle) |
(cos.f32 normAngle) |
(neg (sin normAngle)) |
(neg.f32 (sin.f32 normAngle)) |
(sin normAngle) |
(sin.f32 normAngle) |
(* normAngle (/ n1_i (sin normAngle))) |
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
n1_i |
n0_i |
(* (sin (* u normAngle)) (/ n1_i (sin normAngle))) |
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) |
(sin (* u normAngle)) |
(sin.f32 (*.f32 u normAngle)) |
(* u normAngle) |
(*.f32 u normAngle) |
u |
normAngle |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
n1_i |
(sin normAngle) |
(sin.f32 normAngle) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* u n1_i)) |
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u n1_i)) |
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) |
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) |
(sin (* (- 1 u) normAngle)) |
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) |
(* (- 1 u) normAngle) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
normAngle |
(/ 1 (sin normAngle)) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin normAngle) |
(sin.f32 normAngle) |
n0_i |
(* u n1_i) |
(*.f32 u n1_i) |
n1_i |
(+ (* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(fma.f32 n0_i (fma.f32 u (*.f32 (-.f32 #s(literal 2 binary32) u) (*.f32 normAngle (*.f32 normAngle (fma.f32 u #s(literal -1/6 binary32) #s(literal 1/6 binary32))))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))) |
(* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i) |
(fma.f32 n0_i (fma.f32 u (*.f32 (-.f32 #s(literal 2 binary32) u) (*.f32 normAngle (*.f32 normAngle (fma.f32 u #s(literal -1/6 binary32) #s(literal 1/6 binary32))))) (neg.f32 u)) n0_i) |
(+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) |
(fma.f32 u (*.f32 (-.f32 #s(literal 2 binary32) u) (*.f32 normAngle (*.f32 normAngle (fma.f32 u #s(literal -1/6 binary32) #s(literal 1/6 binary32))))) (-.f32 #s(literal 1 binary32) u)) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1)) |
(*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (*.f32 u (+.f32 u #s(literal -2 binary32)))) |
(+ (* u 1/6) -1/6) |
(fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) |
u |
1/6 |
#s(literal 1/6 binary32) |
-1/6 |
#s(literal -1/6 binary32) |
(+ (* (- 1 u) (- 1 u)) -1) |
(*.f32 u (+.f32 u #s(literal -2 binary32))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
-1 |
#s(literal -1 binary32) |
n0_i |
(* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) |
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) |
(* (sin (* u normAngle)) (/ 1 (sin normAngle))) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(sin (* u normAngle)) |
(sin.f32 (*.f32 u normAngle)) |
(* u normAngle) |
(*.f32 u normAngle) |
(/ 1 (sin normAngle)) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin normAngle) |
(sin.f32 normAngle) |
n1_i |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.1% | (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) |
| ✓ | accuracy | 98.8% | (*.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))) |
| ✓ | accuracy | 94.9% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | accuracy | 58.1% | (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) |
| ✓ | accuracy | 99.8% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i)) |
| ✓ | accuracy | 99.6% | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| ✓ | accuracy | 99.6% | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| ✓ | accuracy | 98.7% | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | accuracy | 100.0% | (sin.f32 (*.f32 u normAngle)) |
| ✓ | accuracy | 100.0% | (sin.f32 normAngle) |
| ✓ | accuracy | 99.9% | (/.f32 n1_i (sin.f32 normAngle)) |
| ✓ | accuracy | 95.4% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
| ✓ | accuracy | 99.9% | (*.f32 normAngle (cos.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 | 99.8% | (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) |
| ✓ | accuracy | 99.6% | (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) |
| 149.0ms | 242× | 0 | valid |
| 14.0ms | 11× | 5 | exit |
| 1.0ms | 2× | 1 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 313 to 44 computations (85.9% saved)
ival-mult: 106.0ms (73.5% of total)ival-add: 8.0ms (5.6% of total)const: 7.0ms (4.9% of total)ival-sin: 7.0ms (4.9% of total)ival-div: 5.0ms (3.5% of total)ival-cos: 4.0ms (2.8% of total)adjust: 3.0ms (2.1% of total)ival-sub: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))> |
#<alt (+ (* u (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))) n0_i)> |
#<alt (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))> |
#<alt (* normAngle (cos normAngle))> |
#<alt (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))> |
#<alt (sin (* u normAngle))> |
#<alt (* u normAngle)> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))> |
#<alt (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* u n1_i))> |
#<alt (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)> |
#<alt (sin (* (- 1 u) normAngle))> |
#<alt (* (sin (* u normAngle)) (/ 1 (sin normAngle)))> |
#<alt (+ (* (- 1 u) (- 1 u)) -1)> |
#<alt (+ (* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))> |
#<alt (* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i)> |
#<alt (* normAngle (/ n1_i (sin normAngle)))> |
#<alt (sin normAngle)> |
#<alt (* (- 1 u) normAngle)> |
#<alt (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))> |
#<alt (+ (* u 1/6) -1/6)> |
| 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 (* normAngle u)) (sin normAngle))> |
#<alt (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (* n1_i u)> |
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))> |
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 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)))))) (* -1/6 (* n1_i u)))))> |
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (* normAngle u)> |
#<alt (* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))> |
#<alt (* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))> |
#<alt (* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (* normAngle u)> |
#<alt (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))> |
#<alt (* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))> |
#<alt (* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<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> |
#<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 (+ n1_i (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -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 (* n1_i u)> |
#<alt (* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))> |
#<alt (* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))> |
#<alt (* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))> |
#<alt (* n1_i u)> |
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))> |
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))> |
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* 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 (* n0_i (- 1 u)))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i 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)) (+ (* n1_i 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 (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (* n1_i u)> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i 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) n0_i)))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i)))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i 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) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i)))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (* n1_i u)> |
#<alt (* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))> |
#<alt (* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))> |
#<alt (* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))> |
#<alt (* n1_i u)> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -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 (/ (* 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 (* -2 u)> |
#<alt (* u (- u 2))> |
#<alt (* u (- u 2))> |
#<alt (* u (- u 2))> |
#<alt (pow u 2)> |
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))> |
#<alt (pow u 2)> |
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i u))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 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))))))) (* -1/6 (* n1_i u))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))))) (* -1/6 (* n1_i u))))))> |
#<alt (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))> |
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))> |
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))> |
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))> |
#<alt (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))> |
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))> |
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))> |
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))> |
#<alt (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) 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)) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (* n0_i (pow normAngle 2))))))) (/ (* n1_i normAngle) (sin normAngle))))))> |
#<alt (* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2)))))> |
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))> |
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow u 3) (sin normAngle))))))))> |
#<alt (* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))> |
#<alt (* -1 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))> |
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* 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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))> |
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))> |
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i)))))> |
#<alt (* n0_i (- 1 u))> |
#<alt (+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u)))> |
#<alt (+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u)))> |
#<alt (+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u)))> |
#<alt (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))> |
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))> |
#<alt (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))> |
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))> |
#<alt n0_i> |
#<alt (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))))> |
#<alt (+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))))> |
#<alt (* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2)))))> |
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))> |
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))))> |
#<alt (* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))> |
#<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 normAngle> |
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))> |
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (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))> |
#<alt (* 1/3 u)> |
#<alt (* u (+ 1/3 (* -1/2 u)))> |
#<alt (* u (+ 1/3 (* u (- (* 1/6 u) 1/2))))> |
#<alt (* u (+ 1/3 (* u (- (* 1/6 u) 1/2))))> |
#<alt (* 1/6 (pow u 3))> |
#<alt (* (pow u 3) (- 1/6 (* 1/2 (/ 1 u))))> |
#<alt (* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u))))> |
#<alt (* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u))))> |
#<alt (* 1/6 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- (* 1/2 (/ 1 u)) 1/6)))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6)))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6)))> |
#<alt -1/6> |
#<alt (- (* 1/6 u) 1/6)> |
#<alt (- (* 1/6 u) 1/6)> |
#<alt (- (* 1/6 u) 1/6)> |
#<alt (* 1/6 u)> |
#<alt (* u (- 1/6 (* 1/6 (/ 1 u))))> |
#<alt (* u (- 1/6 (* 1/6 (/ 1 u))))> |
#<alt (* u (- 1/6 (* 1/6 (/ 1 u))))> |
#<alt (* 1/6 u)> |
#<alt (* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))> |
#<alt (* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))> |
#<alt (* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))> |
138 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | normAngle | @ | inf | (/ (* normAngle (cos normAngle)) (neg (sin normAngle))) |
| 4.0ms | normAngle | @ | inf | (+ (* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
| 3.0ms | normAngle | @ | 0 | (/ (* normAngle (cos normAngle)) (neg (sin normAngle))) |
| 2.0ms | normAngle | @ | inf | (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) |
| 2.0ms | normAngle | @ | -inf | (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) |
| 1× | batch-egg-rewrite |
| 5 478× | accelerator-lowering-fma.f32 |
| 5 478× | accelerator-lowering-fma.f64 |
| 4 900× | *-lowering-*.f32 |
| 4 900× | *-lowering-*.f64 |
| 4 198× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 212 |
| 1 | 231 | 212 |
| 2 | 1995 | 208 |
| 0 | 8881 | 197 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) |
(+ (* u (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))) n0_i) |
(/ (* normAngle (cos normAngle)) (neg (sin normAngle))) |
(* normAngle (cos normAngle)) |
(* (sin (* u normAngle)) (/ n1_i (sin normAngle))) |
(sin (* u normAngle)) |
(* u normAngle) |
(/ n1_i (sin normAngle)) |
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* u n1_i)) |
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) |
(sin (* (- 1 u) normAngle)) |
(* (sin (* u normAngle)) (/ 1 (sin normAngle))) |
(+ (* (- 1 u) (- 1 u)) -1) |
(+ (* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(* (+ (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (- 1 u)) n0_i) |
(* normAngle (/ n1_i (sin normAngle))) |
(sin normAngle) |
(* (- 1 u) normAngle) |
(* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1)) |
(+ (* u 1/6) -1/6) |
| Outputs |
|---|
(+.f32 (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(+.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(pow.f32 (/.f32 (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 normAngle n1_i) (neg.f32 (*.f32 n0_i (*.f32 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 n0_i (*.f32 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 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 n0_i #s(literal 1 binary32)) (/.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 n1_i (sin.f32 normAngle)) (/.f32 normAngle #s(literal 1 binary32)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 normAngle (/.f32 #s(literal 1 binary32) n1_i)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(fma.f32 #s(literal -1 binary32) (/.f32 n0_i (*.f32 (tan.f32 normAngle) (/.f32 #s(literal 1 binary32) normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (/.f32 n0_i (/.f32 #s(literal 1 binary32) (*.f32 normAngle (cos.f32 normAngle)))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (tan.f32 normAngle) (/.f32 #s(literal 1 binary32) normAngle))) (/.f32 n0_i #s(literal -1 binary32)) (/.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 (*.f32 normAngle (cos.f32 normAngle))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (/.f32 normAngle #s(literal -1 binary32)) (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (neg.f32 n1_i) #s(literal -1 binary32)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n1_i #s(literal 1 binary32)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) n1_i)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(fma.f32 (/.f32 n0_i #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (tan.f32 normAngle) (/.f32 #s(literal 1 binary32) normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) (/.f32 normAngle #s(literal -1 binary32)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.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))) |
(fma.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) #s(literal -1 binary32)) (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (/.f32 (neg.f32 n1_i) #s(literal -1 binary32)) (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(fma.f32 (/.f32 n1_i #s(literal -1 binary32)) (/.f32 normAngle (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) #s(literal -1 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (/.f32 (*.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) #s(literal -1 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (/.f32 (*.f32 n0_i normAngle) #s(literal -1 binary32)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 normAngle #s(literal -1 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) #s(literal -1 binary32)) (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (/.f32 n0_i (neg.f32 (sin.f32 normAngle))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 normAngle (cos.f32 normAngle)))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (/.f32 n0_i (/.f32 #s(literal -1 binary32) normAngle)) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (/.f32 n0_i (/.f32 #s(literal -1 binary32) (cos.f32 normAngle))) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (/.f32 n0_i #s(literal 1 binary32)) (/.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 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) normAngle)) (/.f32 n0_i (tan.f32 normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (cos.f32 normAngle))) (/.f32 n0_i (/.f32 (sin.f32 normAngle) normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(fma.f32 (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) #s(literal -1 binary32)) (/.f32 n0_i (neg.f32 (sin.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 normAngle n1_i) (neg.f32 (*.f32 n0_i (*.f32 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)))))) |
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(/.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 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (*.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 (*.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 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) |
(/.f32 (fma.f32 (*.f32 n0_i (*.f32 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 (fma.f32 (*.f32 normAngle n1_i) (neg.f32 (sin.f32 normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (*.f32 (sin.f32 normAngle) (neg.f32 (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 n0_i (*.f32 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 (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 (+.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 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)))))) |
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(/.f32 (fma.f32 n0_i (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) normAngle)) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i))) |
(/.f32 (fma.f32 n0_i (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal 1 binary32))) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)))) |
(/.f32 (fma.f32 n0_i (sin.f32 normAngle) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (*.f32 normAngle n1_i))) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (sin.f32 normAngle))) |
(/.f32 (fma.f32 n0_i (neg.f32 (sin.f32 normAngle)) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (neg.f32 (*.f32 normAngle n1_i)))) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) |
(/.f32 (fma.f32 n0_i (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (*.f32 normAngle #s(literal 1 binary32)))) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i))) |
(/.f32 (fma.f32 n0_i (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (*.f32 #s(literal 1 binary32) normAngle))) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i))) |
(/.f32 (fma.f32 n0_i (neg.f32 (sin.f32 normAngle)) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (*.f32 normAngle (neg.f32 n1_i)))) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) |
(/.f32 (fma.f32 n0_i (neg.f32 (sin.f32 normAngle)) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (*.f32 (neg.f32 n1_i) normAngle))) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) |
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(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 n0_i normAngle)) (tan.f32 normAngle)) #s(literal 1 binary32))) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 n0_i normAngle)) (tan.f32 normAngle)) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)))) |
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(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 n0_i normAngle)) (tan.f32 normAngle)) (neg.f32 (*.f32 normAngle n1_i)))) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 n0_i normAngle)) (tan.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) |
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(/.f32 (+.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 n0_i normAngle)) (tan.f32 normAngle)) (*.f32 #s(literal 1 binary32) normAngle))) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 n0_i normAngle)) (tan.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i))) |
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 n0_i normAngle)) (tan.f32 normAngle)) (*.f32 normAngle (neg.f32 n1_i)))) (*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 n0_i normAngle)) (tan.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) |
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(/.f32 (fma.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (*.f32 (neg.f32 (sin.f32 normAngle)) #s(literal 1 binary32))) (*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)))) |
(/.f32 (fma.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (neg.f32 (sin.f32 normAngle)) (*.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 (*.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 (*.f32 normAngle (cos.f32 normAngle))) (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle #s(literal 1 binary32)))) (*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i))) |
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(/.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (*.f32 u #s(literal 1/6 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal -1/6 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (*.f32 u #s(literal 1/6 binary32))) (-.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal -1/6 binary32)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (*.f32 u #s(literal 1/6 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (*.f32 u #s(literal 1/6 binary32))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 u #s(literal 1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 u #s(literal 1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 u #s(literal 1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 #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 -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (*.f32 (*.f32 (*.f32 u #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 -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 u #s(literal 1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 #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 -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 u #s(literal 1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 u #s(literal 1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 u #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 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 u #s(literal 1/6 binary32) #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 (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)))) |
(*.f32 (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) (+.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) |
(+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) |
(+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) |
(pow.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32)) (*.f32 u #s(literal -1/36 binary32))) (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal -1/36 binary32))) #s(literal -1 binary32)) |
(fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) |
(fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) |
(-.f32 (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 u u)) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)))) |
(-.f32 (/.f32 #s(literal 1/36 binary32) (-.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 u u)) (-.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32)) (*.f32 u #s(literal -1/36 binary32))) (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal -1/36 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32)) (*.f32 u #s(literal -1/36 binary32))) (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal -1/36 binary32))))) |
(/.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32)) (-.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32)) (*.f32 u #s(literal -1/36 binary32)))) |
(/.f32 (fma.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 u u)) (*.f32 u #s(literal -1/36 binary32))))) |
(/.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal -1/36 binary32)) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32))) (neg.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32)) (*.f32 u #s(literal -1/36 binary32))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32))) (neg.f32 (+.f32 #s(literal 1/36 binary32) (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 u u)) (*.f32 u #s(literal -1/36 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal -1/36 binary32))) (neg.f32 (fma.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 u u))) (-.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) |
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 u u)) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32))) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32)))) (neg.f32 (neg.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32)) (*.f32 u #s(literal -1/36 binary32)))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal -1/36 binary32)))) (neg.f32 (neg.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 u u)))) (neg.f32 (-.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))) |
(*.f32 (fma.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal 1/36 binary32)) (*.f32 u #s(literal -1/36 binary32))))) |
(*.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u u) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)))) |
| 1× | egg-herbie |
| 12 930× | accelerator-lowering-fma.f32 |
| 12 930× | accelerator-lowering-fma.f64 |
| 8 270× | *-lowering-*.f32 |
| 8 270× | *-lowering-*.f64 |
| 4 690× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 803 | 8652 |
| 1 | 2614 | 8188 |
| 0 | 8328 | 7814 |
| 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 (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 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)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* normAngle u) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(* normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(/ 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 |
(+ 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 (+ n1_i (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))) |
(+ n0_i (* u (+ n1_i (+ (* -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))))))))) |
(* n1_i u) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))))) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))))) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))))) |
(* n1_i u) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle))))))) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle))))))) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* 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 (* n0_i (- 1 u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i 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)) (+ (* n1_i 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))))))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(* n1_i u) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i 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) n0_i))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i 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) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(* n1_i u) |
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i u) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -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))) |
(/ (* 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)) |
(* -2 u) |
(* u (- u 2)) |
(* u (- u 2)) |
(* u (- u 2)) |
(pow u 2) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(pow u 2) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i u)))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 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))))))) (* -1/6 (* n1_i u)))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))))) (* -1/6 (* n1_i u)))))) |
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle)))))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle)))))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle)))))) |
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle)))))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle)))))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle)))))) |
n0_i |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) 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)) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (* n0_i (pow normAngle 2))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow u 3) (sin normAngle)))))))) |
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2)))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u)) |
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u)) |
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u)) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(* -1 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i))))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u))) |
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u))) |
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u))) |
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
n0_i |
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))))) |
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))) |
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2)))))) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
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)) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(sin normAngle) |
(sin normAngle) |
(sin normAngle) |
(sin normAngle) |
(sin normAngle) |
(sin normAngle) |
(sin normAngle) |
(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)) |
(* 1/3 u) |
(* u (+ 1/3 (* -1/2 u))) |
(* u (+ 1/3 (* u (- (* 1/6 u) 1/2)))) |
(* u (+ 1/3 (* u (- (* 1/6 u) 1/2)))) |
(* 1/6 (pow u 3)) |
(* (pow u 3) (- 1/6 (* 1/2 (/ 1 u)))) |
(* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u)))) |
(* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u)))) |
(* 1/6 (pow u 3)) |
(* -1 (* (pow u 3) (- (* 1/2 (/ 1 u)) 1/6))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6))) |
-1/6 |
(- (* 1/6 u) 1/6) |
(- (* 1/6 u) 1/6) |
(- (* 1/6 u) 1/6) |
(* 1/6 u) |
(* u (- 1/6 (* 1/6 (/ 1 u)))) |
(* u (- 1/6 (* 1/6 (/ 1 u)))) |
(* u (- 1/6 (* 1/6 (/ 1 u)))) |
(* 1/6 u) |
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6))) |
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6))) |
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6))) |
| 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 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (neg.f32 n1_i) normAngle) (*.f32 (sin.f32 normAngle) n0_i))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(*.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (neg.f32 n1_i) normAngle) (*.f32 (sin.f32 normAngle) n0_i))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(*.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (neg.f32 n1_i) normAngle) (*.f32 (sin.f32 normAngle) n0_i))) (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 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 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 (*.f32 normAngle normAngle) (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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/360 binary32) (*.f32 n0_i #s(literal -1/5040 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (neg.f32 (+.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)))) (*.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)) |
(* 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 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) (neg.f32 normAngle)) |
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))) |
(*.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) (neg.f32 normAngle)) |
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))) |
(*.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) (neg.f32 normAngle)) |
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))) |
(*.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.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 (-.f32 (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle))) (/.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 (-.f32 (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle))) (/.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 (-.f32 (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle))) (/.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 (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(*.f32 u (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(*.f32 u (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(* 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) (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))))) |
(* -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) (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))))) |
(* -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) (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))))) |
(/ (* 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)) (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.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)) (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.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)) (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle)))) |
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))) |
(* 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 (cos.f32 normAngle) (*.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 (cos.f32 normAngle) (*.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 (cos.f32 normAngle) (*.f32 normAngle u)) (neg.f32 (sin.f32 normAngle)))) n0_i) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(neg.f32 (*.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))) |
(neg.f32 (*.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))) |
(neg.f32 (*.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))) |
(neg.f32 (*.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 normAngle (*.f32 normAngle (*.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))))))))) |
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) 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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/360 binary32) (*.f32 n0_i #s(literal -1/5040 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (neg.f32 (+.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)))) (*.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)) (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.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 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.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 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.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 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.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)))) |
(-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))) |
(+ 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)) (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle)))) |
(+ 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)) (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle)))) |
(+ 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)) (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle)))) |
(/ (* 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 (cos.f32 normAngle) (*.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 (cos.f32 normAngle) (*.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 (cos.f32 normAngle) (*.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 (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 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))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 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))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))) n1_i)))) |
-1 |
#s(literal -1 binary32) |
(- (* 1/3 (pow normAngle 2)) 1) |
(fma.f32 (*.f32 normAngle 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))) |
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) |
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) |
(/.f32 (neg.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 (*.f32 normAngle normAngle) (*.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)) 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 (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 u (fma.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (*.f32 u u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 n1_i (/.f32 (*.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (*.f32 u (*.f32 u (pow.f32 normAngle #s(literal 5 binary32))))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 (*.f32 u u) (fma.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 7 binary32)))) (*.f32 u u)) (sin.f32 normAngle))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 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)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (*.f32 #s(literal 1/120 binary32) u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (*.f32 #s(literal 1/120 binary32) u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u)))))) (fma.f32 n1_i (*.f32 #s(literal -1/5040 binary32) u) (*.f32 #s(literal -1/720 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))))) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (*.f32 #s(literal 1/120 binary32) u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
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(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(* normAngle u) |
(*.f32 normAngle u) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (*.f32 u u) (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))))) normAngle)) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 (*.f32 u u) (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32)))) (*.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))) normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(sin (* normAngle u)) |
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(* normAngle u) |
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(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u)))) u)) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(*.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 u #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u)))) u)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle u) |
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(* normAngle u) |
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(* normAngle u) |
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(* normAngle u) |
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(* normAngle u) |
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(* normAngle u) |
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(* normAngle u) |
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(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle u) |
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(* normAngle u) |
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(* normAngle u) |
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(* normAngle u) |
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(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle u) |
(*.f32 normAngle u) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
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(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
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(/.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)) |
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(/ 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))) (*.f32 (neg.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 |
#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 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/2 binary32) u) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (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 normAngle (*.f32 normAngle #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) #s(literal 1/6 binary32))) (sin.f32 normAngle))) (/.f32 (neg.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 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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) (neg.f32 u) #s(literal 1/120 binary32)))) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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) (+.f32 (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 -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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) (neg.f32 u) #s(literal 1/120 binary32)))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 -1/120 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 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 (+ n1_i (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))) |
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) n1_i) n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))) |
(fma.f32 u (fma.f32 n0_i (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) n1_i)) n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -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 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (*.f32 (cos.f32 normAngle) (*.f32 u (*.f32 normAngle (*.f32 normAngle normAngle))))) (sin.f32 normAngle))) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) n1_i)) n0_i) |
(* n1_i u) |
(*.f32 n1_i u) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))))) |
(*.f32 u (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 (sin.f32 normAngle) u)) n1_i)) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))))) |
(*.f32 u (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 (sin.f32 normAngle) u)) n1_i)) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))))) |
(*.f32 u (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 (sin.f32 normAngle) u)) n1_i)) |
(* n1_i u) |
(*.f32 n1_i u) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle))))))) |
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 (sin.f32 normAngle) u)) n1_i)) (neg.f32 u)) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle))))))) |
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 (sin.f32 normAngle) u)) n1_i)) (neg.f32 u)) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle))))))) |
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 (sin.f32 normAngle) u)) n1_i)) (neg.f32 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))) (* -1/6 (* n0_i (- 1 u))))))) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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))) (* (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 (*.f32 n0_i #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 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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))) (* (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 n0_i (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i #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 (*.f32 n0_i #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 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32)))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n1_i u) (/ (* 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 u)) |
(+ (* n1_i u) (/ (* 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 u)) |
(+ (* n1_i u) (/ (* 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 u)) |
(+ (* n1_i u) (/ (* 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 u)) |
(+ (* n1_i u) (/ (* 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 u)) |
(+ (* n1_i u) (/ (* 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 u)) |
(+ (* n1_i u) (/ (* 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 u)) |
(+ (* n1_i u) (/ (* 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 u)) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* n1_i u) (/ (* 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 u)) |
(+ (* n1_i u) (/ (* 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 u)) |
(+ (* n1_i u) (/ (* 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 u)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 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) n0_i))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 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) n0_i))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 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 (*.f32 n0_i (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) n0_i))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 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) n0_i))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 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) n0_i))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 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 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(+ (* n1_i u) (/ (* 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 u)) |
(+ (* n1_i u) (/ (* 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 u)) |
(+ (* n1_i u) (/ (* 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 u)) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i (+ u (/ (* 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))) u)) |
(* n1_i (+ u (/ (* 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))) u)) |
(* n1_i (+ u (/ (* 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))) u)) |
(* n1_i u) |
(*.f32 n1_i u) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(neg.f32 (*.f32 n1_i (neg.f32 (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) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(neg.f32 (*.f32 n1_i (neg.f32 (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) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(neg.f32 (*.f32 n1_i (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) u)))) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(-.f32 n0_i (/.f32 (*.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 u (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))) (/.f32 (*.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (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 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (*.f32 (cos.f32 normAngle) (*.f32 u (*.f32 normAngle (*.f32 normAngle normAngle))))) (sin.f32 normAngle))) (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 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (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 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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 (*.f32 n0_i #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 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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 n0_i (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i #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 (*.f32 n0_i #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 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32)))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 n0_i (neg.f32 u) n0_i)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (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 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 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)) |
(*.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))) (-.f32 #s(literal 1 binary32) u))) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(*.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)))) (-.f32 #s(literal 1 binary32) 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)) |
(*.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)))) (-.f32 #s(literal 1 binary32) u))) |
(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)) |
(/ (* normAngle u) (sin normAngle)) |
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (*.f32 u u))) (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 #s(literal -1/6 binary32) (/.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 u u) (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32)))) (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 1/120 binary32) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) #s(literal -1/5040 binary32))) (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))) (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle)))) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) 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 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal 1/120 binary32) u (*.f32 #s(literal 1/36 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) 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 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal 1/120 binary32) u (*.f32 #s(literal 1/36 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)) (*.f32 #s(literal -1/5040 binary32) u)))) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal 1/120 binary32) u (*.f32 #s(literal 1/36 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))))) (*.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) u) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(* -2 u) |
(*.f32 u #s(literal -2 binary32)) |
(* u (- u 2)) |
(*.f32 u (+.f32 u #s(literal -2 binary32))) |
(* u (- u 2)) |
(*.f32 u (+.f32 u #s(literal -2 binary32))) |
(* u (- u 2)) |
(*.f32 u (+.f32 u #s(literal -2 binary32))) |
(pow u 2) |
(*.f32 u u) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u))) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u))) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u))) |
(pow u 2) |
(*.f32 u u) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u))) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u))) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) 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 (* n1_i (pow u 3))) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i u)))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 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))))))) (* -1/6 (* n1_i u)))))) |
(fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (*.f32 #s(literal 1/120 binary32) u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u)))))) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -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 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))))) (* -1/6 (* n1_i u)))))) |
(fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n1_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (*.f32 #s(literal 1/120 binary32) u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u)))))) (fma.f32 n1_i (*.f32 #s(literal -1/5040 binary32) u) (*.f32 #s(literal -1/720 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))))) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (*.f32 #s(literal 1/120 binary32) u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))))) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle)))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle)))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle)))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))))) |
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle)))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle)))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle)))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 normAngle (*.f32 normAngle (sin.f32 normAngle)))) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))))) |
n0_i |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) n0_i) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (* n0_i (pow normAngle 2))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 u (fma.f32 u (fma.f32 n1_i (/.f32 (*.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))) (sin.f32 normAngle)) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))) n0_i) |
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3)))) |
(*.f32 (*.f32 u u) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) u))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (*.f32 u u)) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) u)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow u 3) (sin normAngle)))))))) |
(*.f32 u (*.f32 (*.f32 u u) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (fma.f32 n0_i (*.f32 (/.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 normAngle) (*.f32 u (*.f32 u u)))) (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))))))) |
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3)))) |
(*.f32 (*.f32 u u) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(*.f32 (*.f32 u (*.f32 u u)) (neg.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2)))))) |
(*.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (neg.f32 (/.f32 (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (*.f32 normAngle normAngle) n0_i) u))) (neg.f32 u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2)))))) |
(neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (/.f32 (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal -1/3 binary32)) #s(literal 1 binary32)) (/.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i) (neg.f32 u))) (neg.f32 u))) (neg.f32 u))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u)) |
(*.f32 n0_i (-.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) #s(literal 1 binary32))) u)) |
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u)) |
(*.f32 n0_i (-.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) #s(literal 1 binary32))) u)) |
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u)) |
(*.f32 n0_i (-.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) #s(literal 1 binary32))) u)) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)) n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)) n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)) n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)) n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)) n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) n1_i))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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)) n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) |
(* n0_i (- 1 u)) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u))) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u))) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u))) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))) |
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))) |
n0_i |
(+ n0_i (* n0_i (* 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 (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) n0_i) |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))))) |
(fma.f32 u (fma.f32 u (fma.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) n0_i) |
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3)))) |
(*.f32 (*.f32 u u) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) u))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (*.f32 u u)) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) u)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (fma.f32 n0_i (*.f32 (/.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))))) |
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3)))) |
(*.f32 (*.f32 u u) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(*.f32 (*.f32 u (*.f32 u u)) (neg.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2)))))) |
(*.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (neg.f32 (/.f32 (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (*.f32 normAngle normAngle) n0_i) u))) (neg.f32 u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2)))))) |
(*.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (/.f32 (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal -1/3 binary32)) #s(literal 1 binary32)) (/.f32 n0_i (neg.f32 u))) (neg.f32 u))) (neg.f32 u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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))) |
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))) (*.f32 (neg.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)) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(fma.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 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))))) |
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u)))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u)))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u)))) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* 1/3 u) |
(*.f32 u #s(literal 1/3 binary32)) |
(* u (+ 1/3 (* -1/2 u))) |
(*.f32 u (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))) |
(* u (+ 1/3 (* u (- (* 1/6 u) 1/2)))) |
(*.f32 u (fma.f32 u (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/2 binary32)) #s(literal 1/3 binary32))) |
(* u (+ 1/3 (* u (- (* 1/6 u) 1/2)))) |
(*.f32 u (fma.f32 u (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/2 binary32)) #s(literal 1/3 binary32))) |
(* 1/6 (pow u 3)) |
(*.f32 #s(literal 1/6 binary32) (*.f32 u (*.f32 u u))) |
(* (pow u 3) (- 1/6 (* 1/2 (/ 1 u)))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/2 binary32) u))) |
(* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u)))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u u)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/2 binary32) u)))) |
(* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u)))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u u)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/2 binary32) u)))) |
(* 1/6 (pow u 3)) |
(*.f32 #s(literal 1/6 binary32) (*.f32 u (*.f32 u u))) |
(* -1 (* (pow u 3) (- (* 1/2 (/ 1 u)) 1/6))) |
(*.f32 (*.f32 u (*.f32 u u)) (neg.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u) #s(literal -1/6 binary32)))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6))) |
(*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u) #s(literal -1/2 binary32)) (neg.f32 u)) #s(literal -1/6 binary32)) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6))) |
(*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u) #s(literal -1/2 binary32)) (neg.f32 u)) #s(literal -1/6 binary32)) (neg.f32 (*.f32 u (*.f32 u u)))) |
-1/6 |
#s(literal -1/6 binary32) |
(- (* 1/6 u) 1/6) |
(fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) |
(- (* 1/6 u) 1/6) |
(fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) |
(- (* 1/6 u) 1/6) |
(fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) |
(* 1/6 u) |
(*.f32 #s(literal 1/6 binary32) u) |
(* u (- 1/6 (* 1/6 (/ 1 u)))) |
(*.f32 u (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/6 binary32) u))) |
(* u (- 1/6 (* 1/6 (/ 1 u)))) |
(*.f32 u (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/6 binary32) u))) |
(* u (- 1/6 (* 1/6 (/ 1 u)))) |
(*.f32 u (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/6 binary32) u))) |
(* 1/6 u) |
(*.f32 #s(literal 1/6 binary32) u) |
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6))) |
(neg.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1/6 binary32) u) #s(literal -1/6 binary32)))) |
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6))) |
(neg.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1/6 binary32) u) #s(literal -1/6 binary32)))) |
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6))) |
(neg.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1/6 binary32) u) #s(literal -1/6 binary32)))) |
Compiled 53 547 to 4 029 computations (92.5% saved)
29 alts after pruning (28 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 517 | 25 | 1 542 |
| Fresh | 7 | 3 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 528 | 29 | 1 557 |
| Status | Accuracy | Program |
|---|---|---|
| 99.0% | (fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_i) | |
| 98.7% | (fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)) | |
| 97.3% | (fma.f32 (-.f32 n1_i n0_i) u n0_i) | |
| 98.2% | (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))) | |
| 98.8% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/360 binary32) (*.f32 n0_i #s(literal -1/5040 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (neg.f32 (+.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)))) (*.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) | |
| 98.6% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) | |
| 98.3% | (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) | |
| ▶ | 99.1% | (fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
| 98.9% | (fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) | |
| 98.7% | (fma.f32 u (fma.f32 n0_i #s(literal -1 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) | |
| ▶ | 75.9% | (fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) |
| 97.6% | (fma.f32 u n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) | |
| 98.3% | (fma.f32 normAngle (*.f32 normAngle (*.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)) | |
| ▶ | 41.7% | (fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u)) |
| 96.9% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) | |
| 33.3% | (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) | |
| 48.1% | (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) | |
| 97.4% | (+.f32 (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.3% | (+.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 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.2% | (+.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 #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)) | |
| 97.1% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i)) | |
| ▶ | 96.8% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i)) |
| 80.9% | (+.f32 n0_i (*.f32 u n1_i)) | |
| 78.0% | (*.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))) | |
| 40.6% | (*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 n1_i (sin.f32 normAngle))) | |
| 40.2% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) | |
| ▶ | 41.1% | (*.f32 n1_i u) |
| 57.7% | (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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))) | |
| ✓ | 45.5% | n0_i |
Compiled 1 433 to 852 computations (40.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) |
| ✓ | cost-diff | 64 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i)) |
| ✓ | cost-diff | 160 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) |
| ✓ | cost-diff | 0 | (sin.f32 normAngle) |
| ✓ | cost-diff | 0 | (*.f32 n1_i normAngle) |
| ✓ | cost-diff | 0 | (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
| ✓ | cost-diff | 0 | (fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u)))) |
| ✓ | cost-diff | 0 | (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) |
| ✓ | cost-diff | 64 | (fma.f32 u (*.f32 u u) (neg.f32 u)) |
| ✓ | cost-diff | 160 | (fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u)) |
| ✓ | cost-diff | 0 | (*.f32 n1_i u) |
| ✓ | cost-diff | 0 | (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
| ✓ | cost-diff | 160 | (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) |
| ✓ | cost-diff | 416 | (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) |
| 10 994× | accelerator-lowering-fma.f32 |
| 10 994× | accelerator-lowering-fma.f64 |
| 4 638× | *-lowering-*.f32 |
| 4 638× | *-lowering-*.f64 |
| 2 502× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 349 |
| 1 | 143 | 343 |
| 2 | 431 | 339 |
| 3 | 1282 | 327 |
| 4 | 2485 | 323 |
| 5 | 5187 | 323 |
| 0 | 8161 | 302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* u (+ (* n0_i (+ (* (* normAngle normAngle) 1/3) -1)) (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u)))))) n0_i) |
u |
(+ (* n0_i (+ (* (* normAngle normAngle) 1/3) -1)) (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u))))) |
n0_i |
(+ (* (* normAngle normAngle) 1/3) -1) |
(* normAngle normAngle) |
normAngle |
1/3 |
-1 |
(+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u)))) |
n1_i |
(/ normAngle (sin normAngle)) |
(sin normAngle) |
(* -1/2 (* n0_i (* (* normAngle normAngle) u))) |
-1/2 |
(* n0_i (* (* normAngle normAngle) u)) |
(* (* normAngle normAngle) u) |
(* n1_i u) |
n1_i |
u |
(+ (* normAngle (* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))) (* n1_i u)) |
normAngle |
(* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u))))) |
(* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))) |
-1/6 |
(* n1_i (+ (* u (* u u)) (neg u))) |
n1_i |
(+ (* u (* u u)) (neg u)) |
u |
(* u u) |
(neg u) |
(* n1_i u) |
(+ (* u (/ (* n1_i normAngle) (sin normAngle))) n0_i) |
u |
(/ (* n1_i normAngle) (sin normAngle)) |
(* n1_i normAngle) |
n1_i |
normAngle |
(sin normAngle) |
n0_i |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i) (* u n1_i)) |
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i) |
(* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) |
(sin (* (- 1 u) normAngle)) |
(* (- 1 u) normAngle) |
(- 1 u) |
1 |
u |
normAngle |
(/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle)) |
(+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle) |
(* normAngle (* normAngle normAngle)) |
(* normAngle normAngle) |
(+ (* normAngle (* normAngle 1/120)) -1/6) |
(* normAngle 1/120) |
1/120 |
-1/6 |
n0_i |
(* u n1_i) |
n1_i |
| Outputs |
|---|
(+ (* u (+ (* n0_i (+ (* (* normAngle normAngle) 1/3) -1)) (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u)))))) n0_i) |
(fma.f32 u (fma.f32 normAngle (fma.f32 normAngle (*.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) n0_i) |
u |
(+ (* n0_i (+ (* (* normAngle normAngle) 1/3) -1)) (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u))))) |
(fma.f32 normAngle (fma.f32 normAngle (*.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) |
n0_i |
(+ (* (* normAngle normAngle) 1/3) -1) |
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32)) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
1/3 |
#s(literal 1/3 binary32) |
-1 |
#s(literal -1 binary32) |
(+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u)))) |
(*.f32 normAngle (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
n1_i |
(/ normAngle (sin normAngle)) |
(/.f32 normAngle (sin.f32 normAngle)) |
(sin normAngle) |
(sin.f32 normAngle) |
(* -1/2 (* n0_i (* (* normAngle normAngle) u))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))) |
-1/2 |
#s(literal -1/2 binary32) |
(* n0_i (* (* normAngle normAngle) u)) |
(*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle))) |
(* (* normAngle normAngle) u) |
(*.f32 u (*.f32 normAngle normAngle)) |
(* n1_i u) |
(*.f32 u n1_i) |
n1_i |
u |
(+ (* normAngle (* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))) (* n1_i u)) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))) u)) |
normAngle |
(* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u))))) |
(*.f32 n1_i (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 normAngle #s(literal -1/6 binary32)))) |
(* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))) |
(*.f32 n1_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) |
-1/6 |
#s(literal -1/6 binary32) |
(* n1_i (+ (* u (* u u)) (neg u))) |
(*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) |
n1_i |
(+ (* u (* u u)) (neg u)) |
(*.f32 u (fma.f32 u u #s(literal -1 binary32))) |
u |
(* u u) |
(*.f32 u u) |
(neg u) |
(neg.f32 u) |
(* n1_i u) |
(*.f32 u n1_i) |
(+ (* u (/ (* n1_i normAngle) (sin normAngle))) n0_i) |
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) (*.f32 u n1_i) n0_i) |
u |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) |
(* n1_i normAngle) |
(*.f32 normAngle n1_i) |
n1_i |
normAngle |
(sin normAngle) |
(sin.f32 normAngle) |
n0_i |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i) (* u n1_i)) |
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32))) normAngle)) (*.f32 u n1_i)) |
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (fma.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32))) normAngle)) |
(* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) |
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (fma.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32))) normAngle)) |
(sin (* (- 1 u) normAngle)) |
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) |
(* (- 1 u) normAngle) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
normAngle |
(/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle)) |
(/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32))) normAngle)) |
(+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32))) normAngle) |
(* normAngle (* normAngle normAngle)) |
(*.f32 normAngle (*.f32 normAngle normAngle)) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
(+ (* normAngle (* normAngle 1/120)) -1/6) |
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) |
(* normAngle 1/120) |
(*.f32 normAngle #s(literal 1/120 binary32)) |
1/120 |
#s(literal 1/120 binary32) |
-1/6 |
#s(literal -1/6 binary32) |
n0_i |
(* u n1_i) |
(*.f32 u n1_i) |
n1_i |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) |
| ✓ | accuracy | 99.6% | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| ✓ | accuracy | 98.7% | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) |
| ✓ | accuracy | 98.2% | (*.f32 normAngle #s(literal 1/120 binary32)) |
| ✓ | accuracy | 100.0% | (*.f32 n1_i normAngle) |
| ✓ | accuracy | 100.0% | (sin.f32 normAngle) |
| ✓ | accuracy | 100.0% | (fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) |
| ✓ | accuracy | 70.4% | (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
| ✓ | accuracy | 99.9% | (fma.f32 u (*.f32 u u) (neg.f32 u)) |
| ✓ | accuracy | 99.7% | (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))) |
| ✓ | accuracy | 99.7% | (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u)))) |
| ✓ | accuracy | 100.0% | (*.f32 n1_i u) |
| ✓ | accuracy | 99.9% | (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))) |
| ✓ | accuracy | 99.9% | (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) |
| ✓ | accuracy | 99.8% | (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
| ✓ | accuracy | 99.6% | (*.f32 (*.f32 normAngle normAngle) u) |
| 104.0ms | 244× | 0 | valid |
| 13.0ms | 9× | 5 | exit |
| 2.0ms | 2× | 1 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 351 to 54 computations (84.6% saved)
ival-mult: 52.0ms (54.1% of total)const: 12.0ms (12.5% of total)ival-add: 12.0ms (12.5% of total)ival-sin: 7.0ms (7.3% of total)adjust: 5.0ms (5.2% of total)ival-div: 5.0ms (5.2% of total)ival-sub: 1.0ms (1% 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 (+ (* n0_i (+ (* (* normAngle normAngle) 1/3) -1)) (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u)))))> |
#<alt (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u))))> |
#<alt (+ (* u (+ (* n0_i (+ (* (* normAngle normAngle) 1/3) -1)) (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u)))))) n0_i)> |
#<alt (+ (* (* normAngle normAngle) 1/3) -1)> |
#<alt (* n1_i u)> |
#<alt (+ (* normAngle (* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))) (* n1_i u))> |
#<alt (+ (* u (* u u)) (neg u))> |
#<alt (* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))> |
#<alt (* -1/6 (* n1_i (+ (* u (* u u)) (neg u))))> |
#<alt (+ (* u (/ (* n1_i normAngle) (sin normAngle))) n0_i)> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (* n1_i normAngle)> |
#<alt (sin normAngle)> |
#<alt (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle)))> |
#<alt (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i) (* u n1_i))> |
#<alt (* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i)> |
#<alt (sin (* (- 1 u) normAngle))> |
#<alt (* (* normAngle normAngle) u)> |
#<alt (* n0_i (* (* normAngle normAngle) u))> |
#<alt (* -1/2 (* n0_i (* (* normAngle normAngle) u)))> |
#<alt (* n1_i (+ (* u (* u u)) (neg u)))> |
#<alt (* normAngle 1/120)> |
#<alt (* (- 1 u) normAngle)> |
| Outputs |
|---|
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))> |
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1))> |
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1))> |
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1))> |
#<alt (* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))))))> |
#<alt (+ n1_i (* -1 n0_i))> |
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (* 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)))) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (* -1/6 n1_i)))))> |
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* 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 (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))))> |
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i))))> |
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) 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 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i)))))> |
#<alt (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))> |
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))> |
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1 (* u (+ (* -1 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))> |
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))> |
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)))))> |
#<alt n1_i> |
#<alt (+ n1_i (* (pow normAngle 2) (- (* -1/2 (* n0_i u)) (* -1/6 n1_i))))> |
#<alt (+ n1_i (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/2 (* n0_i u))) (* -1/6 n1_i))))> |
#<alt (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (* (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 (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))> |
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))> |
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u)))))> |
#<alt (/ (* n1_i normAngle) (sin normAngle))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))))> |
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))))> |
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1 (* u (+ (* -1 (/ (* n1_i normAngle) (* u (sin normAngle)))) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (* n1_i normAngle) (* u (sin normAngle)))) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (* n1_i normAngle) (* u (sin normAngle)))) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))> |
#<alt (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))))> |
#<alt (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))> |
#<alt (* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))> |
#<alt (* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle)))))))> |
#<alt (* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle)))))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))> |
#<alt (* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))> |
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))> |
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (+ (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (+ (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (+ (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))> |
#<alt (* -1 (* n0_i (- (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u)))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1)))> |
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))> |
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (+ (* -1/2 (* n0_i 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 (- (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)) (* -1/6 n1_i)))))))> |
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i 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 (* (pow normAngle 2) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (/ (* n1_i u) (* normAngle (sin normAngle)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle)))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle)))))))> |
#<alt (* (pow normAngle 2) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (/ (* 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)) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))))> |
#<alt (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))))> |
#<alt (+ n0_i (+ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle))))> |
#<alt (+ n0_i (+ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle))))> |
#<alt (+ n0_i (+ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 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) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) n1_i))))> |
#<alt (* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) n1_i))))> |
#<alt (* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) n1_i))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 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 (* 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 (* n1_i u)> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))> |
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))> |
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))> |
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))> |
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))> |
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))> |
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))> |
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))> |
#<alt (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))> |
#<alt (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))> |
#<alt (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))> |
#<alt (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (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))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))> |
#<alt (* -1 u)> |
#<alt (* u (- (pow u 2) 1))> |
#<alt (* u (- (pow u 2) 1))> |
#<alt (* u (- (pow u 2) 1))> |
#<alt (pow u 3)> |
#<alt (* (pow u 3) (- 1 (/ 1 (pow u 2))))> |
#<alt (* (pow u 3) (- 1 (/ 1 (pow u 2))))> |
#<alt (* (pow u 3) (- 1 (/ 1 (pow u 2))))> |
#<alt (pow u 3)> |
#<alt (* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1)))> |
#<alt (* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1)))> |
#<alt (* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1)))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* -1/6 (* n1_i (* normAngle (- (pow u 3) u))))> |
#<alt (* 1/6 (* n1_i (* normAngle u)))> |
#<alt (* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle))))> |
#<alt (* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle))))> |
#<alt (* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle))))> |
#<alt (* -1/6 (* n1_i (* normAngle (pow u 3))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2)))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2)))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2)))))> |
#<alt (* -1/6 (* n1_i (* normAngle (pow u 3))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle)))))> |
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))> |
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))> |
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))> |
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))> |
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))> |
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))> |
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))> |
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))> |
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))> |
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))> |
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))> |
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))> |
#<alt (* 1/6 (* n1_i u))> |
#<alt (* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))> |
#<alt (* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))> |
#<alt (* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))> |
#<alt (* -1/6 (* n1_i (pow u 3)))> |
#<alt (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))> |
#<alt (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))> |
#<alt (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))> |
#<alt (* -1/6 (* n1_i (pow u 3)))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))> |
#<alt n0_i> |
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))> |
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))> |
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))> |
#<alt n0_i> |
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))> |
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))> |
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))> |
#<alt (+ n0_i (* n1_i u))> |
#<alt (+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))> |
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))> |
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))> |
#<alt (* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))> |
#<alt (* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))> |
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))> |
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt n0_i> |
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))> |
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))> |
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))> |
#<alt n0_i> |
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))> |
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))> |
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))> |
#<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> |
#<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)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt (* n1_i normAngle)> |
#<alt normAngle> |
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))> |
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))> |
#<alt (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* (pow normAngle 2) (* u (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))> |
#<alt (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* (pow normAngle 2) (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))> |
#<alt (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<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))))) (* 1/120 (- (* -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 (* 120 (/ (sin (* normAngle (- 1 u))) (pow normAngle 5)))> |
#<alt (/ (+ (* 120 (sin (* normAngle (- 1 u)))) (* 2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 5))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -48000 (sin (* normAngle (- 1 u)))) (* 14400 (sin (* normAngle (- 1 u))))) (pow normAngle 4))) (* 120 (sin (* normAngle (- 1 u))))) (* -2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 5))> |
#<alt (/ (- (+ (* -1 (/ (+ (* 20 (+ (* -48000 (sin (* normAngle (- 1 u)))) (* 14400 (sin (* normAngle (- 1 u)))))) (* 288000 (sin (* normAngle (- 1 u))))) (pow normAngle 6))) (* 120 (sin (* normAngle (- 1 u))))) (+ (* -48000 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4))) (+ (* -2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* 14400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4)))))) (pow normAngle 5))> |
#<alt (* 120 (/ (sin (* normAngle (- 1 u))) (pow normAngle 5)))> |
#<alt (* -1 (/ (+ (* -2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* -120 (sin (* normAngle (- 1 u))))) (pow normAngle 5)))> |
#<alt (* -1 (/ (- (+ (* -120 (sin (* normAngle (- 1 u)))) (* -1 (/ (+ (* -14400 (sin (* normAngle (- 1 u)))) (* 48000 (sin (* normAngle (- 1 u))))) (pow normAngle 4)))) (* 2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 5)))> |
#<alt (* -1 (/ (- (+ (* -120 (sin (* normAngle (- 1 u)))) (* -1 (/ (+ (* -288000 (sin (* normAngle (- 1 u)))) (* 20 (+ (* -14400 (sin (* normAngle (- 1 u)))) (* 48000 (sin (* normAngle (- 1 u))))))) (pow normAngle 6)))) (+ (* -14400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4))) (+ (* 2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* 48000 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4)))))) (pow normAngle 5)))> |
#<alt (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (+ (* u (+ n1_i (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))> |
#<alt (+ (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))> |
#<alt (+ (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))> |
#<alt (* n1_i u)> |
#<alt (* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))> |
#<alt (* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))> |
#<alt (* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))> |
#<alt (* n1_i u)> |
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))> |
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))> |
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))> |
#<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 (* n0_i (- 1 u)))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i 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)) (+ (* n1_i 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)))))) (* 1/120 (- (* -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 u)> |
#<alt (+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (* n1_i u))> |
#<alt (+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (+ (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 7))) (* n1_i u)))> |
#<alt (- (+ (* -1 (/ (+ (* -48000 (* n0_i (sin (* normAngle (- 1 u))))) (* 14400 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 9))) (+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (* n1_i u))) (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 7))))> |
#<alt (* n1_i u)> |
#<alt (+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (* n1_i u))> |
#<alt (+ (* -1 (/ (+ (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* -120 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 5))) (* n1_i u))> |
#<alt (+ (* -1 (/ (- (+ (* -120 (* n0_i (sin (* normAngle (- 1 u))))) (* -1 (/ (+ (* -14400 (* n0_i (sin (* normAngle (- 1 u))))) (* 48000 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 4)))) (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5))) (* n1_i u))> |
#<alt (* n1_i u)> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) (/ (* n1_i u) n0_i)))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) (/ (* n1_i u) n0_i)))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) (/ (* n1_i u) n0_i)))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i)))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))> |
#<alt (* n1_i u)> |
#<alt (* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))> |
#<alt (* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))> |
#<alt (* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))> |
#<alt (* n1_i u)> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))> |
#<alt (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))> |
#<alt (+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))> |
#<alt (+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<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)))))) (* 1/120 (- (* -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 (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5)))> |
#<alt (/ (+ (* 120 (* n0_i (sin (* normAngle (- 1 u))))) (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -48000 (* n0_i (sin (* normAngle (- 1 u))))) (* 14400 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 4))) (* 120 (* n0_i (sin (* normAngle (- 1 u)))))) (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5))> |
#<alt (/ (- (+ (* -1 (/ (+ (* 20 (+ (* -48000 (* n0_i (sin (* normAngle (- 1 u))))) (* 14400 (* n0_i (sin (* normAngle (- 1 u))))))) (* 288000 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 6))) (* 120 (* n0_i (sin (* normAngle (- 1 u)))))) (+ (* -48000 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4))) (+ (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* 14400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4)))))) (pow normAngle 5))> |
#<alt (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5)))> |
#<alt (* -1 (/ (+ (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* -120 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 5)))> |
#<alt (* -1 (/ (- (+ (* -120 (* n0_i (sin (* normAngle (- 1 u))))) (* -1 (/ (+ (* -14400 (* n0_i (sin (* normAngle (- 1 u))))) (* 48000 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 4)))) (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5)))> |
#<alt (* -1 (/ (- (+ (* -120 (* n0_i (sin (* normAngle (- 1 u))))) (* -1 (/ (+ (* -288000 (* n0_i (sin (* normAngle (- 1 u))))) (* 20 (+ (* -14400 (* n0_i (sin (* normAngle (- 1 u))))) (* 48000 (* n0_i (sin (* normAngle (- 1 u)))))))) (pow normAngle 6)))) (+ (* -14400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4))) (+ (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* 48000 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4)))))) (pow normAngle 5)))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<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 (* (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 (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* n0_i (* (pow normAngle 2) u))> |
#<alt (* 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 (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* n1_i (- (pow u 3) u))> |
#<alt (* n1_i (- (pow u 3) u))> |
#<alt (* n1_i (- (pow u 3) u))> |
#<alt (* n1_i (- (pow u 3) u))> |
#<alt (* n1_i (- (pow u 3) u))> |
#<alt (* n1_i (- (pow u 3) u))> |
#<alt (* n1_i (- (pow u 3) u))> |
#<alt (* n1_i (- (pow u 3) u))> |
#<alt (* n1_i (- (pow u 3) u))> |
#<alt (* n1_i (- (pow u 3) u))> |
#<alt (* n1_i (- (pow u 3) u))> |
#<alt (* n1_i (- (pow u 3) u))> |
#<alt (* -1 (* n1_i u))> |
#<alt (* u (+ (* -1 n1_i) (* n1_i (pow u 2))))> |
#<alt (* u (+ (* -1 n1_i) (* n1_i (pow u 2))))> |
#<alt (* u (+ (* -1 n1_i) (* n1_i (pow u 2))))> |
#<alt (* n1_i (pow u 3))> |
#<alt (* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))> |
#<alt (* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))> |
#<alt (* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))> |
#<alt (* n1_i (pow u 3))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))> |
#<alt (* 1/120 normAngle)> |
#<alt (* 1/120 normAngle)> |
#<alt (* 1/120 normAngle)> |
#<alt (* 1/120 normAngle)> |
#<alt (* 1/120 normAngle)> |
#<alt (* 1/120 normAngle)> |
#<alt (* 1/120 normAngle)> |
#<alt (* 1/120 normAngle)> |
#<alt (* 1/120 normAngle)> |
#<alt (* 1/120 normAngle)> |
#<alt (* 1/120 normAngle)> |
#<alt (* 1/120 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))> |
171 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | u | @ | 0 | (* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u))))) |
| 5.0ms | normAngle | @ | inf | (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i) (* u n1_i)) |
| 5.0ms | n1_i | @ | -inf | (+ (* normAngle (* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))) (* n1_i u)) |
| 1.0ms | u | @ | inf | (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) |
| 1.0ms | n1_i | @ | 0 | (+ (* normAngle (* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))) (* n1_i u)) |
| 1× | batch-egg-rewrite |
| 4 956× | *-lowering-*.f32 |
| 4 956× | *-lowering-*.f64 |
| 4 240× | accelerator-lowering-fma.f32 |
| 4 240× | accelerator-lowering-fma.f64 |
| 3 614× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 255 |
| 1 | 299 | 255 |
| 2 | 2528 | 255 |
| 0 | 8378 | 237 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* n0_i (+ (* (* normAngle normAngle) 1/3) -1)) (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u))))) |
(+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u)))) |
(+ (* u (+ (* n0_i (+ (* (* normAngle normAngle) 1/3) -1)) (+ (* n1_i (/ normAngle (sin normAngle))) (* -1/2 (* n0_i (* (* normAngle normAngle) u)))))) n0_i) |
(+ (* (* normAngle normAngle) 1/3) -1) |
(* n1_i u) |
(+ (* normAngle (* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))))) (* n1_i u)) |
(+ (* u (* u u)) (neg u)) |
(* normAngle (* -1/6 (* n1_i (+ (* u (* u u)) (neg u))))) |
(* -1/6 (* n1_i (+ (* u (* u u)) (neg u)))) |
(+ (* u (/ (* n1_i normAngle) (sin normAngle))) n0_i) |
(/ (* n1_i normAngle) (sin normAngle)) |
(* n1_i normAngle) |
(sin normAngle) |
(* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i) (* u n1_i)) |
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* (* normAngle (* normAngle normAngle)) (+ (* normAngle (* normAngle 1/120)) -1/6)) normAngle))) n0_i) |
(sin (* (- 1 u) normAngle)) |
(* (* normAngle normAngle) u) |
(* n0_i (* (* normAngle normAngle) u)) |
(* -1/2 (* n0_i (* (* normAngle normAngle) u))) |
(* n1_i (+ (* u (* u u)) (neg u))) |
(* normAngle 1/120) |
(* (- 1 u) normAngle) |
| Outputs |
|---|
(+.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) |
(+.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))) |
(+.f32 (*.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) |
(+.f32 (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) |
(+.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32))) (+.f32 (neg.f32 n0_i) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))) |
(+.f32 (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)))) |
(+.f32 (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (*.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
(+.f32 (+.f32 (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)))) (neg.f32 n0_i)) |
(pow.f32 (/.f32 (fma.f32 (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) (-.f32 (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) (*.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))) (fma.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (*.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) (pow.f32 (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) (-.f32 (*.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) (pow.f32 (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) #s(literal 2 binary32)))) #s(literal -1 binary32)) |
(fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (neg.f32 n0_i) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) |
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(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) (-.f32 (*.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) (pow.f32 (fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) #s(literal 2 binary32))))) |
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(/.f32 (fma.f32 n0_i (*.f32 n0_i n0_i) (pow.f32 (/.f32 (*.f32 u (*.f32 normAngle n1_i)) (sin.f32 normAngle)) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 u (*.f32 normAngle n1_i)) (sin.f32 normAngle)) (*.f32 u (*.f32 normAngle n1_i))) (*.f32 (*.f32 u (*.f32 normAngle n1_i)) n0_i)) (sin.f32 normAngle)))) |
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(neg.f32 (/.f32 (neg.f32 (*.f32 normAngle n1_i)) (sin.f32 normAngle))) |
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(pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
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(/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)) |
(/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) |
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) #s(literal 1 binary32))) |
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(/.f32 (*.f32 (*.f32 normAngle n1_i) #s(literal 1 binary32)) (sin.f32 normAngle)) |
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(/.f32 (neg.f32 n1_i) (neg.f32 (/.f32 (sin.f32 normAngle) normAngle))) |
(/.f32 (*.f32 n1_i #s(literal 1 binary32)) (/.f32 (sin.f32 normAngle) normAngle)) |
(/.f32 (*.f32 #s(literal 1 binary32) n1_i) (/.f32 (sin.f32 normAngle) normAngle)) |
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(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) n1_i)) (neg.f32 (/.f32 (sin.f32 normAngle) normAngle))) |
(*.f32 normAngle (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)) |
(*.f32 normAngle (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) |
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) |
(*.f32 (*.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) |
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(*.f32 normAngle n1_i) |
(*.f32 n1_i normAngle) |
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(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) |
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(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) |
(/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) |
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(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32))) (neg.f32 (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (neg.f32 (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))) |
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 normAngle (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (*.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32))))))))) (fma.f32 normAngle (-.f32 normAngle (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32))))) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (*.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)))))))) |
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(pow.f32 (/.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (neg.f32 (*.f32 n1_i u))) (fma.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))) (neg.f32 (*.f32 n1_i (*.f32 u (*.f32 n1_i u)))))) #s(literal -1 binary32)) |
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (*.f32 n1_i u)) |
(fma.f32 n1_i u (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))) |
(fma.f32 u n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))) |
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) (*.f32 n1_i u)) |
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 n1_i u)) |
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) n0_i (*.f32 n1_i u)) |
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(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 n1_i u) (*.f32 n1_i (*.f32 u (*.f32 n1_i u))) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))))))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))) (neg.f32 (*.f32 n1_i (*.f32 u (*.f32 n1_i u))))))) (neg.f32 (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (neg.f32 (*.f32 n1_i u)))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 n1_i (*.f32 u (*.f32 n1_i u))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))))))) (neg.f32 (-.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))))) |
(*.f32 (fma.f32 (*.f32 n1_i u) (*.f32 n1_i (*.f32 u (*.f32 n1_i u))) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))))))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))) (neg.f32 (*.f32 n1_i (*.f32 u (*.f32 n1_i u))))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (neg.f32 (*.f32 n1_i u))))) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) |
(/.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) n0_i) |
(*.f32 (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) |
(+.f32 (*.f32 (sin.f32 (*.f32 normAngle #s(literal 1 binary32))) (cos.f32 (*.f32 normAngle (neg.f32 u)))) (*.f32 (cos.f32 (*.f32 normAngle #s(literal 1 binary32))) (sin.f32 (*.f32 normAngle (neg.f32 u))))) |
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 1 binary32) normAngle)) (cos.f32 (*.f32 (neg.f32 u) normAngle))) (*.f32 (cos.f32 (*.f32 #s(literal 1 binary32) normAngle)) (sin.f32 (*.f32 (neg.f32 u) normAngle)))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(fma.f32 (sin.f32 (*.f32 normAngle #s(literal 1 binary32))) (cos.f32 (*.f32 normAngle (neg.f32 u))) (*.f32 (cos.f32 (*.f32 normAngle #s(literal 1 binary32))) (sin.f32 (*.f32 normAngle (neg.f32 u))))) |
(fma.f32 (sin.f32 (*.f32 #s(literal 1 binary32) normAngle)) (cos.f32 (*.f32 (neg.f32 u) normAngle)) (*.f32 (cos.f32 (*.f32 #s(literal 1 binary32) normAngle)) (sin.f32 (*.f32 (neg.f32 u) normAngle)))) |
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) |
(*.f32 normAngle (*.f32 normAngle u)) |
(*.f32 (*.f32 normAngle normAngle) u) |
(*.f32 u (*.f32 normAngle normAngle)) |
(*.f32 (*.f32 normAngle u) normAngle) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(*.f32 normAngle (*.f32 (*.f32 normAngle u) n0_i)) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 u n0_i)) |
(*.f32 u (*.f32 n0_i (*.f32 normAngle normAngle))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) |
(*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) u) |
(*.f32 (*.f32 n0_i normAngle) (*.f32 normAngle u)) |
(*.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) |
(*.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) |
(*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 n0_i (*.f32 normAngle normAngle)))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal -1/2 binary32))) |
(*.f32 (*.f32 u (*.f32 n0_i (*.f32 normAngle normAngle))) #s(literal -1/2 binary32)) |
(*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 (*.f32 normAngle normAngle) u)) |
(*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u #s(literal -1/2 binary32))) |
(*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) n0_i) |
(*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) u) |
(*.f32 (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) normAngle) (*.f32 normAngle u)) |
(*.f32 (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle normAngle)) u) |
(*.f32 (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (*.f32 normAngle normAngle)) |
(+.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (neg.f32 (*.f32 n1_i u))) |
(+.f32 (neg.f32 (*.f32 n1_i u)) (*.f32 n1_i (*.f32 u (*.f32 u u)))) |
(fma.f32 #s(literal -1 binary32) (*.f32 n1_i u) (*.f32 n1_i (*.f32 u (*.f32 u u)))) |
(fma.f32 n1_i (*.f32 u (*.f32 u u)) (neg.f32 (*.f32 n1_i u))) |
(fma.f32 n1_i (neg.f32 u) (*.f32 n1_i (*.f32 u (*.f32 u u)))) |
(fma.f32 u (*.f32 (*.f32 u u) n1_i) (neg.f32 (*.f32 n1_i u))) |
(fma.f32 (*.f32 n1_i u) (*.f32 u u) (neg.f32 (*.f32 n1_i u))) |
(fma.f32 (*.f32 u u) (*.f32 n1_i u) (neg.f32 (*.f32 n1_i u))) |
(fma.f32 (*.f32 u (*.f32 u u)) n1_i (neg.f32 (*.f32 n1_i u))) |
(fma.f32 (neg.f32 u) n1_i (*.f32 n1_i (*.f32 u (*.f32 u u)))) |
(fma.f32 (*.f32 n1_i (*.f32 u u)) u (neg.f32 (*.f32 n1_i u))) |
(fma.f32 (*.f32 n1_i #s(literal -1 binary32)) u (*.f32 n1_i (*.f32 u (*.f32 u u)))) |
(-.f32 (/.f32 (*.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (*.f32 n1_i (*.f32 u (*.f32 u u)))) (-.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (neg.f32 (*.f32 n1_i u)))) (/.f32 (*.f32 n1_i (*.f32 u (*.f32 n1_i u))) (-.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (neg.f32 (*.f32 n1_i u))))) |
(/.f32 (fma.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (*.f32 (*.f32 n1_i u) (*.f32 n1_i (*.f32 u (*.f32 n1_i u)))) (*.f32 (*.f32 n1_i u) (*.f32 n1_i (*.f32 u (*.f32 n1_i u))))) (fma.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (*.f32 n1_i (*.f32 u (*.f32 u u))) (-.f32 (*.f32 n1_i (*.f32 u (*.f32 n1_i u))) (*.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (neg.f32 (*.f32 n1_i u)))))) |
(/.f32 (-.f32 (*.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (*.f32 n1_i (*.f32 u (*.f32 u u)))) (*.f32 n1_i (*.f32 u (*.f32 n1_i u)))) (-.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (neg.f32 (*.f32 n1_i u)))) |
(/.f32 (*.f32 n1_i (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (*.f32 u (*.f32 u u)))) (fma.f32 u (*.f32 (*.f32 u u) (*.f32 u (*.f32 u u))) (fma.f32 u u (*.f32 u (*.f32 u (*.f32 u u)))))) |
(/.f32 (*.f32 n1_i (*.f32 (fma.f32 u (*.f32 u u) u) (fma.f32 u (*.f32 u u) u))) (fma.f32 u (*.f32 u u) u)) |
(/.f32 (*.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (*.f32 u (*.f32 u u))) n1_i) (fma.f32 u (*.f32 (*.f32 u u) (*.f32 u (*.f32 u u))) (fma.f32 u u (*.f32 u (*.f32 u (*.f32 u u)))))) |
(/.f32 (*.f32 (*.f32 (fma.f32 u (*.f32 u u) u) (fma.f32 u (*.f32 u u) u)) n1_i) (fma.f32 u (*.f32 u u) u)) |
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (*.f32 (*.f32 n1_i u) (*.f32 n1_i (*.f32 u (*.f32 n1_i u)))) (*.f32 (*.f32 n1_i u) (*.f32 n1_i (*.f32 u (*.f32 n1_i u)))))) (neg.f32 (fma.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (*.f32 n1_i (*.f32 u (*.f32 u u))) (-.f32 (*.f32 n1_i (*.f32 u (*.f32 n1_i u))) (*.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (neg.f32 (*.f32 n1_i u))))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (*.f32 n1_i (*.f32 u (*.f32 u u)))) (*.f32 n1_i (*.f32 u (*.f32 n1_i u))))) (neg.f32 (-.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (neg.f32 (*.f32 n1_i u))))) |
(/.f32 (neg.f32 (*.f32 n1_i (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (*.f32 u (*.f32 u u))))) (neg.f32 (fma.f32 u (*.f32 (*.f32 u u) (*.f32 u (*.f32 u u))) (fma.f32 u u (*.f32 u (*.f32 u (*.f32 u u))))))) |
(/.f32 (neg.f32 (*.f32 n1_i (*.f32 (fma.f32 u (*.f32 u u) u) (fma.f32 u (*.f32 u u) u)))) (neg.f32 (fma.f32 u (*.f32 u u) u))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 u (*.f32 u u))) (*.f32 u (*.f32 u u))) n1_i)) (neg.f32 (fma.f32 u (*.f32 (*.f32 u u) (*.f32 u (*.f32 u u))) (fma.f32 u u (*.f32 u (*.f32 u (*.f32 u u))))))) |
(/.f32 (neg.f32 (*.f32 (*.f32 (fma.f32 u (*.f32 u u) u) (fma.f32 u (*.f32 u u) u)) n1_i)) (neg.f32 (fma.f32 u (*.f32 u u) u))) |
(*.f32 n1_i (fma.f32 u (*.f32 u u) u)) |
(*.f32 (fma.f32 u (*.f32 u u) u) n1_i) |
(*.f32 normAngle #s(literal 1/120 binary32)) |
(*.f32 #s(literal 1/120 binary32) normAngle) |
(+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u))) |
(+.f32 (*.f32 #s(literal 1 binary32) normAngle) (*.f32 (neg.f32 u) normAngle)) |
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (neg.f32 u))) |
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 (neg.f32 u) normAngle)) |
(/.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) normAngle) (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (neg.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))))) (neg.f32 (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) normAngle)) (neg.f32 (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (neg.f32 (+.f32 u #s(literal 1 binary32)))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| 1× | egg-herbie |
| 14 016× | accelerator-lowering-fma.f32 |
| 14 016× | accelerator-lowering-fma.f64 |
| 8 212× | *-lowering-*.f32 |
| 8 212× | *-lowering-*.f64 |
| 4 558× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 803 | 10688 |
| 1 | 2678 | 10390 |
| 0 | 8345 | 9740 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1)) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1)) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1)) |
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) |
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u)))))) |
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u)))))) |
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u)))))) |
(+ n1_i (* -1 n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (* 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)))) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (* -1/6 n1_i))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* 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))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))) |
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))) |
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) 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 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i))))) |
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle)))))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle)))))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle)))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1 (* u (+ (* -1 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* -1 (* u (+ (* -1 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* -1 (* u (+ (* -1 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle)))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle)))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle)))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))))) |
n1_i |
(+ n1_i (* (pow normAngle 2) (- (* -1/2 (* n0_i u)) (* -1/6 n1_i)))) |
(+ n1_i (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/2 (* n0_i u))) (* -1/6 n1_i)))) |
(+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (* (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)))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1 (* u (+ (* -1 (/ (* n1_i normAngle) (* u (sin normAngle)))) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* -1 (* u (+ (* -1 (/ (* n1_i normAngle) (* u (sin normAngle)))) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* -1 (* u (+ (* -1 (/ (* n1_i normAngle) (* u (sin normAngle)))) (* 1/2 (* n0_i (pow normAngle 2)))))) |
n0_i |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle)))))) |
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))) |
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle)))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(+ (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) |
(* n0_i (+ 1 (+ (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* n0_i (+ 1 (+ (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* n0_i (+ 1 (+ (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* -1 (* n0_i (- (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u)))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (+ (* -1/2 (* n0_i 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 (- (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)) (* -1/6 n1_i))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i 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)))))))))))))) |
(* (pow normAngle 2) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))) |
(* (pow normAngle 2) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (/ (* n1_i u) (* normAngle (sin normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle))))))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle))))))) |
(* (pow normAngle 2) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))) |
(* (pow normAngle 2) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (/ (* 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)) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) |
(+ n0_i (+ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(+ n0_i (+ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(+ n0_i (+ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) n1_i)))) |
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) n1_i)))) |
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) n1_i)))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 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)))) |
(* 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) |
(* n1_i u) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(* -1 u) |
(* u (- (pow u 2) 1)) |
(* u (- (pow u 2) 1)) |
(* u (- (pow u 2) 1)) |
(pow u 3) |
(* (pow u 3) (- 1 (/ 1 (pow u 2)))) |
(* (pow u 3) (- 1 (/ 1 (pow u 2)))) |
(* (pow u 3) (- 1 (/ 1 (pow u 2)))) |
(pow u 3) |
(* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1))) |
(* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1))) |
(* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(* 1/6 (* n1_i (* normAngle u))) |
(* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle)))) |
(* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle)))) |
(* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle)))) |
(* -1/6 (* n1_i (* normAngle (pow u 3)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2))))) |
(* -1/6 (* n1_i (* normAngle (pow u 3)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* 1/6 (* n1_i u)) |
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i))) |
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i))) |
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i))) |
(* -1/6 (* n1_i (pow u 3))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) |
(* -1/6 (* n1_i (pow u 3))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i)))) |
n0_i |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle)))))) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle)))))) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle)))))) |
n0_i |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))) |
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))) |
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle)))))) |
(+ n0_i (* n1_i u)) |
(+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))) |
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u)))))) |
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u)))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle)))) |
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle)))) |
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle)))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle)))))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle)))))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle)))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
n0_i |
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) |
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) |
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) |
n0_i |
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1))) |
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1))) |
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1))) |
(/ (* 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 |
(+ 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) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
(* n1_i normAngle) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(sin normAngle) |
(sin normAngle) |
(sin normAngle) |
(sin normAngle) |
(sin normAngle) |
(sin normAngle) |
(sin normAngle) |
(sin normAngle) |
(/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(+ (* -1 (/ (* normAngle (* u (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* (pow normAngle 2) (* u (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* (pow normAngle 2) (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(- 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))))) (* 1/120 (- (* -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) |
(* 120 (/ (sin (* normAngle (- 1 u))) (pow normAngle 5))) |
(/ (+ (* 120 (sin (* normAngle (- 1 u)))) (* 2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 5)) |
(/ (- (+ (* -1 (/ (+ (* -48000 (sin (* normAngle (- 1 u)))) (* 14400 (sin (* normAngle (- 1 u))))) (pow normAngle 4))) (* 120 (sin (* normAngle (- 1 u))))) (* -2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 5)) |
(/ (- (+ (* -1 (/ (+ (* 20 (+ (* -48000 (sin (* normAngle (- 1 u)))) (* 14400 (sin (* normAngle (- 1 u)))))) (* 288000 (sin (* normAngle (- 1 u))))) (pow normAngle 6))) (* 120 (sin (* normAngle (- 1 u))))) (+ (* -48000 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4))) (+ (* -2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* 14400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4)))))) (pow normAngle 5)) |
(* 120 (/ (sin (* normAngle (- 1 u))) (pow normAngle 5))) |
(* -1 (/ (+ (* -2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* -120 (sin (* normAngle (- 1 u))))) (pow normAngle 5))) |
(* -1 (/ (- (+ (* -120 (sin (* normAngle (- 1 u)))) (* -1 (/ (+ (* -14400 (sin (* normAngle (- 1 u)))) (* 48000 (sin (* normAngle (- 1 u))))) (pow normAngle 4)))) (* 2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 5))) |
(* -1 (/ (- (+ (* -120 (sin (* normAngle (- 1 u)))) (* -1 (/ (+ (* -288000 (sin (* normAngle (- 1 u)))) (* 20 (+ (* -14400 (sin (* normAngle (- 1 u)))) (* 48000 (sin (* normAngle (- 1 u))))))) (pow normAngle 6)))) (+ (* -14400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4))) (+ (* 2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* 48000 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4)))))) (pow normAngle 5))) |
(/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(+ (* u (+ n1_i (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(+ (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(+ (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(* n1_i u) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) |
(* n1_i u) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) |
(+ (* 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 (* n0_i (- 1 u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i 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)) (+ (* n1_i 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)))))) (* 1/120 (- (* -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 u) |
(+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (* n1_i u)) |
(+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (+ (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 7))) (* n1_i u))) |
(- (+ (* -1 (/ (+ (* -48000 (* n0_i (sin (* normAngle (- 1 u))))) (* 14400 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 9))) (+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (* n1_i u))) (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 7)))) |
(* n1_i u) |
(+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (* n1_i u)) |
(+ (* -1 (/ (+ (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* -120 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 5))) (* n1_i u)) |
(+ (* -1 (/ (- (+ (* -120 (* n0_i (sin (* normAngle (- 1 u))))) (* -1 (/ (+ (* -14400 (* n0_i (sin (* normAngle (- 1 u))))) (* 48000 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 4)))) (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5))) (* n1_i u)) |
(* n1_i u) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) (/ (* n1_i u) n0_i))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) (/ (* n1_i u) n0_i))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) (/ (* n1_i u) n0_i))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(* n1_i u) |
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) |
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) |
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) |
(* n1_i u) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) |
(/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(* 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)))))) (* 1/120 (- (* -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)))))) |
(* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) |
(/ (+ (* 120 (* n0_i (sin (* normAngle (- 1 u))))) (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5)) |
(/ (- (+ (* -1 (/ (+ (* -48000 (* n0_i (sin (* normAngle (- 1 u))))) (* 14400 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 4))) (* 120 (* n0_i (sin (* normAngle (- 1 u)))))) (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5)) |
(/ (- (+ (* -1 (/ (+ (* 20 (+ (* -48000 (* n0_i (sin (* normAngle (- 1 u))))) (* 14400 (* n0_i (sin (* normAngle (- 1 u))))))) (* 288000 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 6))) (* 120 (* n0_i (sin (* normAngle (- 1 u)))))) (+ (* -48000 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4))) (+ (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* 14400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4)))))) (pow normAngle 5)) |
(* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) |
(* -1 (/ (+ (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* -120 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 5))) |
(* -1 (/ (- (+ (* -120 (* n0_i (sin (* normAngle (- 1 u))))) (* -1 (/ (+ (* -14400 (* n0_i (sin (* normAngle (- 1 u))))) (* 48000 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 4)))) (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5))) |
(* -1 (/ (- (+ (* -120 (* n0_i (sin (* normAngle (- 1 u))))) (* -1 (/ (+ (* -288000 (* n0_i (sin (* normAngle (- 1 u))))) (* 20 (+ (* -14400 (* n0_i (sin (* normAngle (- 1 u))))) (* 48000 (* n0_i (sin (* normAngle (- 1 u)))))))) (pow normAngle 6)))) (+ (* -14400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4))) (+ (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* 48000 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4)))))) (pow normAngle 5))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(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))) |
(* (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) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(* 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))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (pow u 3) u)) |
(* -1 (* n1_i u)) |
(* u (+ (* -1 n1_i) (* n1_i (pow u 2)))) |
(* u (+ (* -1 n1_i) (* n1_i (pow u 2)))) |
(* u (+ (* -1 n1_i) (* n1_i (pow u 2)))) |
(* n1_i (pow u 3)) |
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
(* n1_i (pow u 3)) |
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2))))) |
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2))))) |
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2))))) |
(* 1/120 normAngle) |
(* 1/120 normAngle) |
(* 1/120 normAngle) |
(* 1/120 normAngle) |
(* 1/120 normAngle) |
(* 1/120 normAngle) |
(* 1/120 normAngle) |
(* 1/120 normAngle) |
(* 1/120 normAngle) |
(* 1/120 normAngle) |
(* 1/120 normAngle) |
(* 1/120 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 |
|---|
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) |
(*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1)) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1)) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) 1)) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))) |
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) |
(neg.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (neg.f32 (fma.f32 (*.f32 normAngle 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)))) (* 1/2 (* (pow normAngle 2) u)))))) |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u)))))) |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u)))))) |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))))) (neg.f32 n0_i)) |
(+ n1_i (* -1 n0_i)) |
(-.f32 n1_i n0_i) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)) (* -1/6 n1_i))))) |
(fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 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 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (+ (* -1/2 (* n0_i u)) (* 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 n0_i #s(literal 1/3 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) (- (+ (* -1/2 (* n0_i u)) (+ (* 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 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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)) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) |
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle)))))) |
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))) (/.f32 n0_i (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))) (/.f32 n0_i (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) |
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle)))))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))) (/.f32 (-.f32 (/.f32 n0_i normAngle) (/.f32 n1_i (sin.f32 normAngle))) normAngle))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))) (/.f32 (-.f32 (/.f32 n0_i normAngle) (/.f32 n1_i (sin.f32 normAngle))) normAngle))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) |
(*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) n1_i) (/.f32 normAngle (sin.f32 normAngle))))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) n1_i) (/.f32 normAngle (sin.f32 normAngle))))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) n1_i) (/.f32 normAngle (sin.f32 normAngle))))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i))))) |
(*.f32 (-.f32 (neg.f32 (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n1_i)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i))))) |
(*.f32 (-.f32 (neg.f32 (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n1_i)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) n1_i))))) |
(*.f32 (-.f32 (neg.f32 (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n1_i)) (neg.f32 n1_i)) |
(+ (* 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 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.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 (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle)))))) |
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) u) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle)))))) |
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) u) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle)))))) |
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) u) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))))) |
(* -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 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(neg.f32 (*.f32 u (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) (neg.f32 (/.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) u))))) |
(* -1 (* u (+ (* -1 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(neg.f32 (*.f32 u (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) (neg.f32 (/.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) u))))) |
(* -1 (* u (+ (* -1 (/ (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(neg.f32 (*.f32 u (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) (neg.f32 (/.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) 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))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle)))) |
(*.f32 n1_i (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) n1_i) (/.f32 normAngle (sin.f32 normAngle)))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle)))) |
(*.f32 n1_i (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) n1_i) (/.f32 normAngle (sin.f32 normAngle)))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle)))) |
(*.f32 n1_i (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) n1_i) (/.f32 normAngle (sin.f32 normAngle)))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))))) |
(*.f32 (fma.f32 n0_i (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i) #s(literal 1/2 binary32)) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))))) |
(*.f32 (fma.f32 n0_i (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i) #s(literal 1/2 binary32)) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))))) |
(*.f32 (fma.f32 n0_i (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i) #s(literal 1/2 binary32)) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i)) |
n1_i |
(+ n1_i (* (pow normAngle 2) (- (* -1/2 (* n0_i u)) (* -1/6 n1_i)))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) |
(+ n1_i (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/2 (* n0_i u))) (* -1/6 n1_i)))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (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) (- (+ (* -1/2 (* n0_i u)) (* (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))) (*.f32 (neg.f32 normAngle) normAngle) (*.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) n1_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) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))) |
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle)))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))) |
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle)))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))) |
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.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) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))) |
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle)))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))) |
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle)))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))) |
(*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle)))))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n1_i (/.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))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) 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 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))))) |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (/.f32 (*.f32 (neg.f32 n1_i) normAngle) (*.f32 (sin.f32 normAngle) n0_i))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))))) |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (/.f32 (*.f32 (neg.f32 n1_i) normAngle) (*.f32 (sin.f32 normAngle) n0_i))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))))) |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (/.f32 (*.f32 (neg.f32 n1_i) normAngle) (*.f32 (sin.f32 normAngle) n0_i))) (neg.f32 n0_i)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n1_i (/.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 (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))) |
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) u)) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))) |
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) u)) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))) |
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) u)) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))))) |
(* -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 (/ (* n1_i normAngle) (* u (sin normAngle)))) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(*.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (*.f32 (sin.f32 normAngle) u)) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))) (neg.f32 u)) |
(* -1 (* u (+ (* -1 (/ (* n1_i normAngle) (* u (sin normAngle)))) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(*.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (*.f32 (sin.f32 normAngle) u)) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))) (neg.f32 u)) |
(* -1 (* u (+ (* -1 (/ (* n1_i normAngle) (* u (sin normAngle)))) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(*.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (*.f32 (sin.f32 normAngle) u)) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))) (neg.f32 u)) |
n0_i |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) n0_i) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) n0_i) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) n0_i) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) u)) |
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle)))))) |
(*.f32 (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) u) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))))) (*.f32 u u)) |
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))) |
(*.f32 (*.f32 u u) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) u) (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) u)) (/.f32 n0_i (*.f32 u u)))))) |
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle))))))) |
(*.f32 (*.f32 u u) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) u) (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) u)) (/.f32 n0_i (*.f32 u u)))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) u)) |
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) u) (/ (* n1_i normAngle) (* u (sin normAngle)))))) |
(*.f32 (fma.f32 n1_i (/.f32 normAngle (*.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) u) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))))) (*.f32 u u)) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2))))) |
(*.f32 u (*.f32 u (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (neg.f32 (/.f32 (neg.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 n0_i u)))) u))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2))))) |
(*.f32 u (*.f32 u (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (neg.f32 (/.f32 (neg.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (/.f32 n0_i u)))) u))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) |
(+ (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n0_i u) (fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i)) |
(+ (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n0_i u) (fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i)) |
(+ (* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n0_i u) (fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i)) |
(* n0_i (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n0_i u) n0_i) |
(* n0_i (+ 1 (+ (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* 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 u (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))))) n0_i) |
(* n0_i (+ 1 (+ (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* 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 u (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))))) n0_i) |
(* n0_i (+ 1 (+ (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)) (/ (* 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 u (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))))) n0_i) |
(* -1 (* n0_i (- (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u)))) 1))) |
(*.f32 (neg.f32 n0_i) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) #s(literal -1 binary32))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1))) |
(*.f32 (neg.f32 n0_i) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) (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)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1))) |
(*.f32 (neg.f32 n0_i) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) (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)))) (* u (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* 1/2 (* (pow normAngle 2) u))))) 1))) |
(*.f32 (neg.f32 n0_i) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/2 binary32)) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) (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 u (-.f32 n1_i n0_i) n0_i) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)) (* -1/6 n1_i)))))) |
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) 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 (- (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)) (* -1/6 n1_i))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i 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 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(* (pow normAngle 2) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))) |
(* (pow normAngle 2) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (/ (* n1_i u) (* normAngle (sin normAngle))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))) (/.f32 (*.f32 n1_i u) (*.f32 normAngle (sin.f32 normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle))))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (neg.f32 (/.f32 u (*.f32 normAngle normAngle))) (fma.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle (sin.f32 normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle)))))) |
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (* normAngle (sin normAngle))))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (neg.f32 (/.f32 u (*.f32 normAngle normAngle))) (fma.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle (sin.f32 normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle)))))) |
(* (pow normAngle 2) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))) |
(* (pow normAngle 2) (+ (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) (/ (* n1_i u) (* normAngle (sin normAngle))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))) (/.f32 (*.f32 n1_i u) (*.f32 normAngle (sin.f32 normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))) (/.f32 (neg.f32 (fma.f32 n1_i (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) normAngle))) normAngle))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ (* n1_i u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) normAngle))) normAngle)) (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))) (/.f32 (neg.f32 (fma.f32 n1_i (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) normAngle))) normAngle))) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n0_i u) n0_i) |
(+ n0_i (+ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n0_i u) (fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i)) |
(+ n0_i (+ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n0_i u) (fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i)) |
(+ n0_i (+ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n0_i u) (fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) |
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) n1_i)))) |
(*.f32 n1_i (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i)))) |
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) n1_i)))) |
(*.f32 n1_i (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i)))) |
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) n1_i)))) |
(*.f32 n1_i (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n1_i) (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 (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) n1_i))))) |
(neg.f32 (*.f32 n1_i (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n0_i u) n0_i) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) n1_i))))) |
(neg.f32 (*.f32 n1_i (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n0_i u) n0_i) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) n1_i))))) |
(neg.f32 (*.f32 n1_i (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (*.f32 n0_i u) n0_i) n1_i))))) |
-1 |
#s(literal -1 binary32) |
(- (* 1/3 (pow normAngle 2)) 1) |
(fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) |
(- (* 1/3 (pow normAngle 2)) 1) |
(fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) |
(- (* 1/3 (pow normAngle 2)) 1) |
(fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) |
(* 1/3 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(*.f32 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 normAngle (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -1 binary32) (*.f32 normAngle normAngle))))) |
(* 1/3 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) |
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2)))) |
(*.f32 normAngle (*.f32 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 normAngle (*.f32 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 normAngle (*.f32 normAngle (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -1 binary32) (*.f32 normAngle normAngle))))) |
(* 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) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(*.f32 normAngle (*.f32 normAngle (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(*.f32 normAngle (*.f32 normAngle (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(*.f32 normAngle (*.f32 normAngle (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(*.f32 normAngle (*.f32 normAngle (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(*.f32 normAngle (*.f32 normAngle (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(*.f32 normAngle (*.f32 normAngle (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(*.f32 (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (neg.f32 u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(*.f32 (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (neg.f32 u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(*.f32 (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (neg.f32 u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(*.f32 (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (neg.f32 u)) (neg.f32 n1_i)) |
(* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i)) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 n1_i (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 (*.f32 normAngle normAngle) u))) n1_i))) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 n1_i (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 (*.f32 normAngle normAngle) u))) n1_i))) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 n1_i (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 (*.f32 normAngle normAngle) u))) n1_i))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 u (*.f32 u (*.f32 (*.f32 normAngle normAngle) u)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 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 u (*.f32 u (*.f32 (*.f32 normAngle normAngle) u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 (neg.f32 n1_i) (*.f32 u u)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 (neg.f32 n1_i) (*.f32 u u)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 (neg.f32 n1_i) (*.f32 u u)))))) |
(* -1 u) |
(neg.f32 u) |
(* u (- (pow u 2) 1)) |
(*.f32 u (fma.f32 u u #s(literal -1 binary32))) |
(* u (- (pow u 2) 1)) |
(*.f32 u (fma.f32 u u #s(literal -1 binary32))) |
(* u (- (pow u 2) 1)) |
(*.f32 u (fma.f32 u u #s(literal -1 binary32))) |
(pow u 3) |
(*.f32 u (*.f32 u u)) |
(* (pow u 3) (- 1 (/ 1 (pow u 2)))) |
(*.f32 (*.f32 u u) (*.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u u))))) |
(* (pow u 3) (- 1 (/ 1 (pow u 2)))) |
(*.f32 (*.f32 u u) (*.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u u))))) |
(* (pow u 3) (- 1 (/ 1 (pow u 2)))) |
(*.f32 (*.f32 u u) (*.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u u))))) |
(pow u 3) |
(*.f32 u (*.f32 u u)) |
(* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1))) |
(*.f32 (*.f32 u (*.f32 u u)) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -1 binary32)))) |
(* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1))) |
(*.f32 (*.f32 u (*.f32 u u)) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -1 binary32)))) |
(* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1))) |
(*.f32 (*.f32 u (*.f32 u u)) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal -1 binary32)))) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* -1/6 (* n1_i (* normAngle (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
(* 1/6 (* n1_i (* normAngle u))) |
(*.f32 n1_i (*.f32 (*.f32 normAngle u) #s(literal 1/6 binary32))) |
(* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle)))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle (*.f32 u u)))))) |
(* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle)))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle (*.f32 u u)))))) |
(* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle)))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle (*.f32 u u)))))) |
(* -1/6 (* n1_i (* normAngle (pow u 3)))) |
(*.f32 n1_i (*.f32 (*.f32 normAngle (*.f32 u (*.f32 u u))) #s(literal -1/6 binary32))) |
(* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (/.f32 normAngle (*.f32 u u)) #s(literal 1/6 binary32)) (*.f32 normAngle (*.f32 n1_i #s(literal -1/6 binary32))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (/.f32 normAngle (*.f32 u u)) #s(literal 1/6 binary32)) (*.f32 normAngle (*.f32 n1_i #s(literal -1/6 binary32))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (/.f32 normAngle (*.f32 u u)) #s(literal 1/6 binary32)) (*.f32 normAngle (*.f32 n1_i #s(literal -1/6 binary32))))) |
(* -1/6 (* n1_i (* normAngle (pow u 3)))) |
(*.f32 n1_i (*.f32 (*.f32 normAngle (*.f32 u (*.f32 u u))) #s(literal -1/6 binary32))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle))))) |
(*.f32 (fma.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (/.f32 normAngle (*.f32 u u)) (*.f32 normAngle (*.f32 n1_i #s(literal 1/6 binary32)))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle))))) |
(*.f32 (fma.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (/.f32 normAngle (*.f32 u u)) (*.f32 normAngle (*.f32 n1_i #s(literal 1/6 binary32)))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle))))) |
(*.f32 (fma.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (/.f32 normAngle (*.f32 u u)) (*.f32 normAngle (*.f32 n1_i #s(literal 1/6 binary32)))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) |
(* 1/6 (* n1_i u)) |
(*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))) |
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) |
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) |
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) |
(* -1/6 (* n1_i (pow u 3))) |
(*.f32 n1_i (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/6 binary32))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (*.f32 u u)) (*.f32 n1_i #s(literal -1/6 binary32)))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (*.f32 u u)) (*.f32 n1_i #s(literal -1/6 binary32)))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (*.f32 u u)) (*.f32 n1_i #s(literal -1/6 binary32)))) |
(* -1/6 (* n1_i (pow u 3))) |
(*.f32 n1_i (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/6 binary32))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i)))) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 n1_i (*.f32 u u)) (*.f32 n1_i #s(literal 1/6 binary32))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i)))) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 n1_i (*.f32 u u)) (*.f32 n1_i #s(literal 1/6 binary32))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i)))) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 n1_i (*.f32 u u)) (*.f32 n1_i #s(literal 1/6 binary32))) (neg.f32 (*.f32 u (*.f32 u u)))) |
n0_i |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i) |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i) |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) |
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u))) |
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u))) |
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 u (fma.f32 n1_i (/.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)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle)))))) |
(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)))) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle)))))) |
(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)))) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle)))))) |
(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)))) |
n0_i |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i) |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i) |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) |
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))) |
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))) |
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))) |
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))) |
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))) |
(*.f32 n1_i (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 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle)))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i)))) |
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle)))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i)))) |
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle)))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i)))) |
(+ n0_i (* n1_i u)) |
(fma.f32 n1_i u n0_i) |
(+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))) |
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i) |
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u)))))) |
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i)) |
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u)))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (fma.f32 n1_i u n0_i)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle)))) |
(*.f32 normAngle (fma.f32 n1_i (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i normAngle))) |
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle)))) |
(*.f32 normAngle (fma.f32 n1_i (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i normAngle))) |
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle)))) |
(*.f32 normAngle (fma.f32 n1_i (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i normAngle))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle)))))) |
(*.f32 (neg.f32 (fma.f32 n1_i (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i normAngle))) (neg.f32 normAngle)) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle)))))) |
(*.f32 (neg.f32 (fma.f32 n1_i (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i normAngle))) (neg.f32 normAngle)) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle)))))) |
(*.f32 (neg.f32 (fma.f32 n1_i (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i normAngle))) (neg.f32 normAngle)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i) |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i) |
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i) |
n0_i |
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) |
(fma.f32 (*.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) n0_i) |
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) |
(fma.f32 (*.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) n0_i) |
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) |
(fma.f32 (*.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) n0_i) |
n0_i |
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1))) |
(neg.f32 (*.f32 n0_i (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)))) 1))) |
(neg.f32 (*.f32 n0_i (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)))) 1))) |
(neg.f32 (*.f32 n0_i (fma.f32 (neg.f32 n1_i) (/.f32 (*.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32)))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
n1_i |
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) |
(fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) 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))) (*.f32 (neg.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 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(fma.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (sin.f32 normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(+ (* -1 (/ (* normAngle (* u (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(fma.f32 (neg.f32 normAngle) (/.f32 (*.f32 u (cos.f32 normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (/.f32 (sin.f32 normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) |
(+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* (pow normAngle 2) (* u (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(fma.f32 u (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (/.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) (/.f32 (sin.f32 normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) |
(+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* (pow normAngle 2) (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) (/ (sin normAngle) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(fma.f32 u (fma.f32 u (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (sin.f32 normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (/.f32 (*.f32 (*.f32 u (cos.f32 normAngle)) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) #s(literal 1/6 binary32))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) (neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))) (/.f32 (sin.f32 normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) |
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) 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 #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) (-.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) (-.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) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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))))) (* 1/120 (- (* -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) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))) (*.f32 #s(literal -1/720 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))))) (-.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) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (-.f32 #s(literal 1 binary32) u)) |
(* 120 (/ (sin (* normAngle (- 1 u))) (pow normAngle 5))) |
(*.f32 #s(literal 120 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 5 binary32)))) |
(/ (+ (* 120 (sin (* normAngle (- 1 u)))) (* 2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 5)) |
(/.f32 (fma.f32 #s(literal 2400 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 normAngle normAngle)) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 120 binary32))) (pow.f32 normAngle #s(literal 5 binary32))) |
(/ (- (+ (* -1 (/ (+ (* -48000 (sin (* normAngle (- 1 u)))) (* 14400 (sin (* normAngle (- 1 u))))) (pow normAngle 4))) (* 120 (sin (* normAngle (- 1 u))))) (* -2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 5)) |
(/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -33600 binary32)) (neg.f32 (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 #s(literal 2400 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 normAngle normAngle)) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 120 binary32)))) (pow.f32 normAngle #s(literal 5 binary32))) |
(/ (- (+ (* -1 (/ (+ (* 20 (+ (* -48000 (sin (* normAngle (- 1 u)))) (* 14400 (sin (* normAngle (- 1 u)))))) (* 288000 (sin (* normAngle (- 1 u))))) (pow normAngle 6))) (* 120 (sin (* normAngle (- 1 u))))) (+ (* -48000 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4))) (+ (* -2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* 14400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4)))))) (pow normAngle 5)) |
(/.f32 (-.f32 (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 120 binary32) (/.f32 (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -672000 binary32) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 288000 binary32))) (neg.f32 (pow.f32 normAngle #s(literal 6 binary32))))) (fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 normAngle normAngle)) #s(literal -2400 binary32) (fma.f32 #s(literal 14400 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -48000 binary32)) (pow.f32 normAngle #s(literal 4 binary32)))))) (pow.f32 normAngle #s(literal 5 binary32))) |
(* 120 (/ (sin (* normAngle (- 1 u))) (pow normAngle 5))) |
(*.f32 #s(literal 120 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 5 binary32)))) |
(* -1 (/ (+ (* -2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* -120 (sin (* normAngle (- 1 u))))) (pow normAngle 5))) |
(/.f32 (fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 normAngle normAngle)) #s(literal -2400 binary32) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -120 binary32))) (neg.f32 (pow.f32 normAngle #s(literal 5 binary32)))) |
(* -1 (/ (- (+ (* -120 (sin (* normAngle (- 1 u)))) (* -1 (/ (+ (* -14400 (sin (* normAngle (- 1 u)))) (* 48000 (sin (* normAngle (- 1 u))))) (pow normAngle 4)))) (* 2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 5))) |
(/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 33600 binary32)) (neg.f32 (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 normAngle normAngle)) #s(literal -2400 binary32) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -120 binary32)))) (neg.f32 (pow.f32 normAngle #s(literal 5 binary32)))) |
(* -1 (/ (- (+ (* -120 (sin (* normAngle (- 1 u)))) (* -1 (/ (+ (* -288000 (sin (* normAngle (- 1 u)))) (* 20 (+ (* -14400 (sin (* normAngle (- 1 u)))) (* 48000 (sin (* normAngle (- 1 u))))))) (pow normAngle 6)))) (+ (* -14400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4))) (+ (* 2400 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* 48000 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4)))))) (pow normAngle 5))) |
(neg.f32 (/.f32 (-.f32 (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -120 binary32) (/.f32 (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 672000 binary32) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -288000 binary32))) (neg.f32 (pow.f32 normAngle #s(literal 6 binary32))))) (fma.f32 #s(literal 2400 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 normAngle normAngle)) (fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 4 binary32))) #s(literal 48000 binary32) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -14400 binary32)) (pow.f32 normAngle #s(literal 4 binary32)))))) (pow.f32 normAngle #s(literal 5 binary32)))) |
(/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 (sin.f32 normAngle) n0_i) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(+ (* u (+ n1_i (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n1_i) (/.f32 (*.f32 (sin.f32 normAngle) n0_i) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) |
(+ (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(fma.f32 n0_i (/.f32 (sin.f32 normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 u (fma.f32 n0_i (/.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n1_i)))) |
(+ (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(fma.f32 n0_i (/.f32 (sin.f32 normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 u (fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 (sin.f32 normAngle) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 normAngle (cos.f32 normAngle))))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n1_i)))) |
(* n1_i u) |
(*.f32 n1_i u) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) |
(*.f32 u (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 u (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) n1_i)) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) |
(*.f32 u (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 u (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) n1_i)) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) |
(*.f32 u (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 u (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) n1_i)) |
(* n1_i u) |
(*.f32 n1_i u) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) |
(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 u (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) n1_i))) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) |
(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 u (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) n1_i))) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) |
(neg.f32 (*.f32 (neg.f32 u) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 u (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) n1_i))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i 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) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))))) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i 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)))))) (* 1/120 (- (* -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 normAngle (*.f32 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) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))))) (*.f32 #s(literal -1/720 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))))))) (fma.f32 n0_i (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))))))) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (* n1_i u)) |
(fma.f32 (*.f32 #s(literal 120 binary32) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 5 binary32))) (*.f32 n1_i u)) |
(+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (+ (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 7))) (* n1_i u))) |
(fma.f32 n1_i u (fma.f32 (*.f32 #s(literal 2400 binary32) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 7 binary32))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 120 binary32))) (pow.f32 normAngle #s(literal 5 binary32))))) |
(- (+ (* -1 (/ (+ (* -48000 (* n0_i (sin (* normAngle (- 1 u))))) (* 14400 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 9))) (+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (* n1_i u))) (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 7)))) |
(+.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal -33600 binary32))) (neg.f32 (pow.f32 normAngle #s(literal 9 binary32)))) (fma.f32 n1_i u (fma.f32 (*.f32 #s(literal 2400 binary32) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 7 binary32))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 120 binary32))) (pow.f32 normAngle #s(literal 5 binary32)))))) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (* n1_i u)) |
(fma.f32 (*.f32 #s(literal 120 binary32) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 5 binary32))) (*.f32 n1_i u)) |
(+ (* -1 (/ (+ (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* -120 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 5))) (* n1_i u)) |
(fma.f32 n1_i u (/.f32 (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal -120 binary32)) (/.f32 (*.f32 (*.f32 #s(literal -2400 binary32) n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle normAngle))) (neg.f32 (pow.f32 normAngle #s(literal 5 binary32))))) |
(+ (* -1 (/ (- (+ (* -120 (* n0_i (sin (* normAngle (- 1 u))))) (* -1 (/ (+ (* -14400 (* n0_i (sin (* normAngle (- 1 u))))) (* 48000 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 4)))) (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5))) (* n1_i u)) |
(fma.f32 n1_i u (/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 33600 binary32))) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal -120 binary32)) (/.f32 (*.f32 (*.f32 #s(literal -2400 binary32) n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle normAngle)))) (neg.f32 (pow.f32 normAngle #s(literal 5 binary32))))) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(fma.f32 n1_i u (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(fma.f32 n1_i u (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(fma.f32 n1_i u (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) (/ (* n1_i u) n0_i))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) (/ (* n1_i u) n0_i))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) (/ (* n1_i u) n0_i))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(fma.f32 n1_i u (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(fma.f32 n1_i u (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(fma.f32 n1_i u (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) u)) |
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) u)) |
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) u)) |
(* n1_i u) |
(*.f32 n1_i u) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) u))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) u))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) u))) |
(/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 (sin.f32 normAngle) n0_i) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 u (*.f32 normAngle (cos.f32 normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (/.f32 (*.f32 (sin.f32 normAngle) n0_i) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))) (/.f32 (*.f32 (sin.f32 normAngle) n0_i) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6))))) |
(fma.f32 u (fma.f32 u (fma.f32 n0_i (/.f32 (*.f32 (sin.f32 normAngle) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 normAngle (cos.f32 normAngle))))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) (*.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)))) (/.f32 (*.f32 (sin.f32 normAngle) n0_i) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) 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 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) 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)))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))))) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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)))))) (* 1/120 (- (* -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 normAngle (*.f32 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) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))))) (*.f32 #s(literal -1/720 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))))))) (fma.f32 n0_i (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))))))) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 n0_i (neg.f32 u) n0_i)) |
(* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 120 binary32))) (pow.f32 normAngle #s(literal 5 binary32))) |
(/ (+ (* 120 (* n0_i (sin (* normAngle (- 1 u))))) (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5)) |
(/.f32 (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 120 binary32)) (/.f32 (*.f32 (*.f32 #s(literal 2400 binary32) n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle normAngle))) (pow.f32 normAngle #s(literal 5 binary32))) |
(/ (- (+ (* -1 (/ (+ (* -48000 (* n0_i (sin (* normAngle (- 1 u))))) (* 14400 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 4))) (* 120 (* n0_i (sin (* normAngle (- 1 u)))))) (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5)) |
(/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal -33600 binary32))) (neg.f32 (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 120 binary32)) (/.f32 (*.f32 (*.f32 #s(literal 2400 binary32) n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle normAngle)))) (pow.f32 normAngle #s(literal 5 binary32))) |
(/ (- (+ (* -1 (/ (+ (* 20 (+ (* -48000 (* n0_i (sin (* normAngle (- 1 u))))) (* 14400 (* n0_i (sin (* normAngle (- 1 u))))))) (* 288000 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 6))) (* 120 (* n0_i (sin (* normAngle (- 1 u)))))) (+ (* -48000 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4))) (+ (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* 14400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4)))))) (pow normAngle 5)) |
(/.f32 (-.f32 (fma.f32 n0_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 120 binary32)) (/.f32 (fma.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) #s(literal -672000 binary32) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 288000 binary32)))) (neg.f32 (pow.f32 normAngle #s(literal 6 binary32))))) (fma.f32 (*.f32 #s(literal -48000 binary32) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 #s(literal 14400 binary32) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -2400 binary32) n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle normAngle))))) (pow.f32 normAngle #s(literal 5 binary32))) |
(* 120 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 120 binary32))) (pow.f32 normAngle #s(literal 5 binary32))) |
(* -1 (/ (+ (* -2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* -120 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 5))) |
(/.f32 (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal -120 binary32)) (/.f32 (*.f32 (*.f32 #s(literal -2400 binary32) n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle normAngle))) (neg.f32 (pow.f32 normAngle #s(literal 5 binary32)))) |
(* -1 (/ (- (+ (* -120 (* n0_i (sin (* normAngle (- 1 u))))) (* -1 (/ (+ (* -14400 (* n0_i (sin (* normAngle (- 1 u))))) (* 48000 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 4)))) (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5))) |
(/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal 33600 binary32))) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal -120 binary32)) (/.f32 (*.f32 (*.f32 #s(literal -2400 binary32) n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle normAngle)))) (neg.f32 (pow.f32 normAngle #s(literal 5 binary32)))) |
(* -1 (/ (- (+ (* -120 (* n0_i (sin (* normAngle (- 1 u))))) (* -1 (/ (+ (* -288000 (* n0_i (sin (* normAngle (- 1 u))))) (* 20 (+ (* -14400 (* n0_i (sin (* normAngle (- 1 u))))) (* 48000 (* n0_i (sin (* normAngle (- 1 u)))))))) (pow normAngle 6)))) (+ (* -14400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4))) (+ (* 2400 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* 48000 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4)))))) (pow normAngle 5))) |
(/.f32 (-.f32 (fma.f32 n0_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -120 binary32)) (/.f32 (fma.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) #s(literal 672000 binary32) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal -288000 binary32)))) (neg.f32 (pow.f32 normAngle #s(literal 6 binary32))))) (fma.f32 n0_i (/.f32 (*.f32 #s(literal 2400 binary32) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 normAngle normAngle)) (fma.f32 (*.f32 #s(literal 48000 binary32) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n0_i #s(literal -14400 binary32))) (pow.f32 normAngle #s(literal 4 binary32)))))) (neg.f32 (pow.f32 normAngle #s(literal 5 binary32)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* (pow normAngle 3) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(sin normAngle) |
(sin.f32 normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(fma.f32 u (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(fma.f32 u (fma.f32 normAngle (neg.f32 (cos.f32 normAngle)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))) (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 normAngle (neg.f32 (cos.f32 normAngle)) (*.f32 u (fma.f32 (*.f32 u (cos.f32 normAngle)) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 (sin.f32 normAngle) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))))) (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)) |
(*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))) (-.f32 #s(literal 1 binary32) 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)) |
(*.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) (neg.f32 u) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 #s(literal 1 binary32) u))) |
(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)) |
(* (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) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) |
(* n0_i (* (pow normAngle 2) u)) |
(*.f32 n0_i (*.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))) |
(* n1_i (- (pow u 3) u)) |
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) |
(* n1_i (- (pow u 3) u)) |
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) |
(* n1_i (- (pow u 3) u)) |
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) |
(* n1_i (- (pow u 3) u)) |
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) |
(* n1_i (- (pow u 3) u)) |
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) |
(* n1_i (- (pow u 3) u)) |
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) |
(* n1_i (- (pow u 3) u)) |
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) |
(* n1_i (- (pow u 3) u)) |
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) |
(* n1_i (- (pow u 3) u)) |
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) |
(* n1_i (- (pow u 3) u)) |
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) |
(* n1_i (- (pow u 3) u)) |
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) |
(* n1_i (- (pow u 3) u)) |
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) |
(* -1 (* n1_i u)) |
(*.f32 n1_i (neg.f32 u)) |
(* u (+ (* -1 n1_i) (* n1_i (pow u 2)))) |
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) |
(* u (+ (* -1 n1_i) (* n1_i (pow u 2)))) |
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) |
(* u (+ (* -1 n1_i) (* n1_i (pow u 2)))) |
(*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) |
(* n1_i (pow u 3)) |
(*.f32 n1_i (*.f32 u (*.f32 u u))) |
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
(*.f32 u (*.f32 (*.f32 u u) (-.f32 n1_i (/.f32 n1_i (*.f32 u u))))) |
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
(*.f32 u (*.f32 (*.f32 u u) (-.f32 n1_i (/.f32 n1_i (*.f32 u u))))) |
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
(*.f32 u (*.f32 (*.f32 u u) (-.f32 n1_i (/.f32 n1_i (*.f32 u u))))) |
(* n1_i (pow u 3)) |
(*.f32 n1_i (*.f32 u (*.f32 u u))) |
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2))))) |
(neg.f32 (*.f32 u (*.f32 (*.f32 u u) (-.f32 (/.f32 n1_i (*.f32 u u)) n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2))))) |
(neg.f32 (*.f32 u (*.f32 (*.f32 u u) (-.f32 (/.f32 n1_i (*.f32 u u)) n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2))))) |
(neg.f32 (*.f32 u (*.f32 (*.f32 u u) (-.f32 (/.f32 n1_i (*.f32 u u)) n1_i)))) |
(* 1/120 normAngle) |
(*.f32 normAngle #s(literal 1/120 binary32)) |
(* 1/120 normAngle) |
(*.f32 normAngle #s(literal 1/120 binary32)) |
(* 1/120 normAngle) |
(*.f32 normAngle #s(literal 1/120 binary32)) |
(* 1/120 normAngle) |
(*.f32 normAngle #s(literal 1/120 binary32)) |
(* 1/120 normAngle) |
(*.f32 normAngle #s(literal 1/120 binary32)) |
(* 1/120 normAngle) |
(*.f32 normAngle #s(literal 1/120 binary32)) |
(* 1/120 normAngle) |
(*.f32 normAngle #s(literal 1/120 binary32)) |
(* 1/120 normAngle) |
(*.f32 normAngle #s(literal 1/120 binary32)) |
(* 1/120 normAngle) |
(*.f32 normAngle #s(literal 1/120 binary32)) |
(* 1/120 normAngle) |
(*.f32 normAngle #s(literal 1/120 binary32)) |
(* 1/120 normAngle) |
(*.f32 normAngle #s(literal 1/120 binary32)) |
(* 1/120 normAngle) |
(*.f32 normAngle #s(literal 1/120 binary32)) |
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 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(* normAngle (- 1 u)) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
Compiled 51 823 to 3 101 computations (94% saved)
43 alts after pruning (40 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 304 | 22 | 1 326 |
| Fresh | 5 | 18 | 23 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 312 | 43 | 1 355 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.0% | (fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_i) |
| 97.3% | (fma.f32 (-.f32 n1_i n0_i) u n0_i) | |
| 98.8% | (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) | |
| 98.6% | (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) | |
| ▶ | 98.2% | (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))) |
| 98.8% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/360 binary32) (*.f32 n0_i #s(literal -1/5040 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (neg.f32 (+.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)))) (*.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) | |
| 98.6% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n0_i #s(literal 1/3 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) | |
| 82.0% | (fma.f32 u (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) n0_i) | |
| 98.8% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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) | |
| 98.6% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) | |
| 98.3% | (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) | |
| 81.9% | (fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i) | |
| 98.9% | (fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) | |
| 98.8% | (fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) | |
| 97.5% | (fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i) | |
| 75.7% | (fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i) | |
| 75.6% | (fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i) | |
| ✓ | 75.9% | (fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) |
| 57.8% | (fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i) | |
| 97.0% | (fma.f32 u n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))) | |
| ▶ | 81.0% | (fma.f32 u n1_i n0_i) |
| ▶ | 41.7% | (fma.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u)) |
| 41.6% | (fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u)) | |
| 82.0% | (fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i)) | |
| 96.9% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) | |
| 33.3% | (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) | |
| 47.5% | (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) | |
| 48.1% | (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) | |
| 97.4% | (+.f32 (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.3% | (+.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 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.2% | (+.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 #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)) | |
| 96.4% | (+.f32 (*.f32 (*.f32 (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i)) | |
| 97.1% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i)) | |
| 80.9% | (+.f32 n0_i (*.f32 u n1_i)) | |
| 78.0% | (*.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))) | |
| 41.5% | (*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u))))) | |
| ▶ | 40.6% | (*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 n1_i (sin.f32 normAngle))) |
| 40.2% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) | |
| 41.6% | (*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i)) | |
| 41.7% | (*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) | |
| ✓ | 41.1% | (*.f32 n1_i u) |
| 57.7% | (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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))) | |
| ✓ | 45.5% | n0_i |
Compiled 2 235 to 1 289 computations (42.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 u (*.f32 u u)) |
| ✓ | cost-diff | 0 | (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u) |
| ✓ | cost-diff | 0 | (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 n1_i (sin.f32 normAngle))) |
| ✓ | cost-diff | 0 | (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))) |
| ✓ | cost-diff | 64 | (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))))) |
| ✓ | cost-diff | 96 | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
| ✓ | cost-diff | 128 | (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) |
| ✓ | cost-diff | 0 | (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
| ✓ | cost-diff | 160 | (fma.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u)) |
| ✓ | cost-diff | 0 | (fma.f32 u n1_i n0_i) |
| ✓ | cost-diff | 0 | (fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_i) |
| ✓ | cost-diff | 96 | (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) |
| ✓ | cost-diff | 160 | (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
| ✓ | cost-diff | 192 | (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) |
| 24 382× | accelerator-lowering-fma.f32 |
| 24 382× | accelerator-lowering-fma.f64 |
| 4 418× | *-lowering-*.f32 |
| 4 418× | *-lowering-*.f64 |
| 4 282× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 369 |
| 1 | 154 | 356 |
| 2 | 503 | 337 |
| 3 | 2426 | 319 |
| 4 | 4744 | 318 |
| 0 | 8217 | 303 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) u) n0_i) |
(+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) |
normAngle |
(/ n1_i (sin normAngle)) |
n1_i |
(sin normAngle) |
(/ n0_i (* (/ -1 normAngle) (tan normAngle))) |
n0_i |
(* (/ -1 normAngle) (tan normAngle)) |
(/ -1 normAngle) |
-1 |
(tan normAngle) |
u |
(+ (* u n1_i) n0_i) |
u |
n1_i |
n0_i |
(+ (* normAngle (* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle)) (* n1_i u)) |
normAngle |
(* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle) |
(* -1/6 (* u (* n1_i (+ (* u u) -1)))) |
-1/6 |
(* u (* n1_i (+ (* u u) -1))) |
u |
(* n1_i (+ (* u u) -1)) |
n1_i |
(+ (* u u) -1) |
-1 |
(* n1_i u) |
(+ (* (* normAngle normAngle) (* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1)))))) (+ (* n0_i (- 1 u)) (* u n1_i))) |
(* normAngle normAngle) |
normAngle |
(* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1))))) |
-1/6 |
(+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1)))) |
(- 1 u) |
1 |
u |
(+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i)) |
n0_i |
(* (- 1 u) (- 1 u)) |
(neg n0_i) |
(* n1_i (* u (+ (* u u) -1))) |
n1_i |
(* u (+ (* u u) -1)) |
(+ (* u u) -1) |
-1 |
(+ (* n0_i (- 1 u)) (* u n1_i)) |
(* u n1_i) |
(* (* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)) (/ n1_i (sin normAngle))) |
(* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)) |
normAngle |
(+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u) |
(* u (* u u)) |
u |
(* u u) |
(* (* normAngle normAngle) -1/6) |
(* normAngle normAngle) |
-1/6 |
(/ n1_i (sin normAngle)) |
n1_i |
(sin normAngle) |
| Outputs |
|---|
(+ (* (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) u) n0_i) |
(fma.f32 (*.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) n0_i) |
(+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) |
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) |
normAngle |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
n1_i |
(sin normAngle) |
(sin.f32 normAngle) |
(/ n0_i (* (/ -1 normAngle) (tan normAngle))) |
(neg.f32 (*.f32 n0_i (/.f32 normAngle (tan.f32 normAngle)))) |
n0_i |
(* (/ -1 normAngle) (tan normAngle)) |
(/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) |
(/ -1 normAngle) |
(/.f32 #s(literal -1 binary32) normAngle) |
-1 |
#s(literal -1 binary32) |
(tan normAngle) |
(tan.f32 normAngle) |
u |
(+ (* u n1_i) n0_i) |
(fma.f32 n1_i u n0_i) |
u |
n1_i |
n0_i |
(+ (* normAngle (* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle)) (* n1_i u)) |
(*.f32 (*.f32 n1_i u) (fma.f32 (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))) (fma.f32 u u #s(literal -1 binary32)) #s(literal 1 binary32))) |
normAngle |
(* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle) |
(*.f32 (*.f32 n1_i u) (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 u u #s(literal -1 binary32))) normAngle)) |
(* -1/6 (* u (* n1_i (+ (* u u) -1)))) |
(*.f32 (*.f32 n1_i u) (*.f32 #s(literal -1/6 binary32) (fma.f32 u u #s(literal -1 binary32)))) |
-1/6 |
#s(literal -1/6 binary32) |
(* u (* n1_i (+ (* u u) -1))) |
(*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))) |
u |
(* n1_i (+ (* u u) -1)) |
(*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))) |
n1_i |
(+ (* u u) -1) |
(fma.f32 u u #s(literal -1 binary32)) |
-1 |
#s(literal -1 binary32) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* (* normAngle normAngle) (* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1)))))) (+ (* n0_i (- 1 u)) (* u n1_i))) |
(fma.f32 normAngle (*.f32 (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 n0_i (fma.f32 u u (neg.f32 u))) (-.f32 #s(literal 2 binary32) u))) (*.f32 normAngle #s(literal -1/6 binary32))) (fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i)) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1))))) |
(*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 n0_i (fma.f32 u u (neg.f32 u))) (-.f32 #s(literal 2 binary32) u)))) |
-1/6 |
#s(literal -1/6 binary32) |
(+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1)))) |
(fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 n0_i (fma.f32 u u (neg.f32 u))) (-.f32 #s(literal 2 binary32) u))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
(+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i)) |
(*.f32 (*.f32 n0_i (neg.f32 u)) (-.f32 #s(literal 2 binary32) u)) |
n0_i |
(* (- 1 u) (- 1 u)) |
(fma.f32 (neg.f32 u) (-.f32 #s(literal 2 binary32) u) #s(literal 1 binary32)) |
(neg n0_i) |
(neg.f32 n0_i) |
(* n1_i (* u (+ (* u u) -1))) |
(*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))) |
n1_i |
(* u (+ (* u u) -1)) |
(*.f32 u (fma.f32 u u #s(literal -1 binary32))) |
(+ (* u u) -1) |
(fma.f32 u u #s(literal -1 binary32)) |
-1 |
#s(literal -1 binary32) |
(+ (* n0_i (- 1 u)) (* u n1_i)) |
(fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i) |
(* u n1_i) |
(*.f32 n1_i u) |
(* (* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)) (/ n1_i (sin normAngle))) |
(*.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 u (*.f32 normAngle (*.f32 u u)))) u)) |
(* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)) |
(*.f32 (fma.f32 (*.f32 normAngle #s(literal -1/6 binary32)) (*.f32 normAngle (*.f32 u u)) #s(literal 1 binary32)) (*.f32 normAngle u)) |
normAngle |
(+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 u (*.f32 normAngle (*.f32 u u)))) u) |
(* u (* u u)) |
(*.f32 u (*.f32 u u)) |
u |
(* u u) |
(*.f32 u u) |
(* (* normAngle normAngle) -1/6) |
(*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
-1/6 |
#s(literal -1/6 binary32) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
n1_i |
(sin normAngle) |
(sin.f32 normAngle) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.f32 n1_i (sin.f32 normAngle)) |
| ✓ | accuracy | 99.4% | (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
| ✓ | accuracy | 99.2% | (*.f32 u (*.f32 u u)) |
| ✓ | accuracy | 95.4% | (*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 n1_i (sin.f32 normAngle))) |
| ✓ | accuracy | 99.2% | (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))))) |
| ✓ | accuracy | 98.8% | (*.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)))))) |
| ✓ | accuracy | 98.6% | (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
| ✓ | accuracy | 65.6% | (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) |
| ✓ | accuracy | 99.8% | (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))) |
| ✓ | accuracy | 99.7% | (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) |
| ✓ | accuracy | 99.7% | (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) |
| ✓ | accuracy | 100.0% | (fma.f32 u n1_i n0_i) |
| ✓ | accuracy | 99.9% | (fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_i) |
| ✓ | accuracy | 99.9% | (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) |
| ✓ | accuracy | 99.7% | (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) |
| ✓ | accuracy | 99.5% | (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) |
| 85.0ms | 254× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 353 to 51 computations (85.6% saved)
ival-mult: 38.0ms (57.5% of total)ival-add: 11.0ms (16.6% of total)ival-div: 5.0ms (7.6% of total)const: 4.0ms (6% of total)ival-sin: 3.0ms (4.5% of total)ival-tan: 2.0ms (3% of total)ival-sub: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% 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 (/ n0_i (* (/ -1 normAngle) (tan normAngle)))> |
#<alt (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle))))> |
#<alt (* (/ -1 normAngle) (tan normAngle))> |
#<alt (+ (* (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) u) n0_i)> |
#<alt (+ (* u n1_i) n0_i)> |
#<alt (+ (* normAngle (* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle)) (* n1_i u))> |
#<alt (* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle)> |
#<alt (* -1/6 (* u (* n1_i (+ (* u u) -1))))> |
#<alt (* u (* n1_i (+ (* u u) -1)))> |
#<alt (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))> |
#<alt (+ (* n0_i (- 1 u)) (* u n1_i))> |
#<alt (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1))))> |
#<alt (+ (* (* normAngle normAngle) (* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1)))))) (+ (* n0_i (- 1 u)) (* u n1_i)))> |
#<alt (* (* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)) (/ n1_i (sin normAngle)))> |
#<alt (* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u))> |
#<alt (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)> |
#<alt (* u (* u u))> |
#<alt (* n1_i (+ (* u u) -1))> |
#<alt (* (- 1 u) (- 1 u))> |
#<alt (* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1)))))> |
#<alt (* (* normAngle normAngle) -1/6)> |
#<alt (/ n1_i (sin normAngle))> |
| Outputs |
|---|
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 n0_i)> |
#<alt (+ (* -1 n0_i) (* 1/3 (* n0_i (pow normAngle 2))))> |
#<alt (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (* 2/15 n0_i))))))> |
#<alt (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (+ (* 2/15 n0_i) (* (pow normAngle 2) (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 n0_i))))))))))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))> |
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (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) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))> |
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* -1/9 n0_i) (+ (* 2/15 n0_i) (* (pow normAngle 2) (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 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 (/ (* 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 -1> |
#<alt (- (* -1/3 (pow normAngle 2)) 1)> |
#<alt (- (* (pow normAngle 2) (- (* -2/15 (pow normAngle 2)) 1/3)) 1)> |
#<alt (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -17/315 (pow normAngle 2)) 2/15)) 1/3)) 1)> |
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))> |
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))> |
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))> |
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))> |
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))> |
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))> |
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))> |
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))> |
#<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) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 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) (+ (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 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 (/ (* 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> |
#<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 n0_i> |
#<alt (+ n0_i (* n1_i u))> |
#<alt (+ n0_i (* n1_i u))> |
#<alt (+ n0_i (* n1_i u))> |
#<alt (* n1_i u)> |
#<alt (* u (+ n1_i (/ n0_i u)))> |
#<alt (* u (+ n1_i (/ n0_i u)))> |
#<alt (* u (+ n1_i (/ n0_i u)))> |
#<alt (* n1_i u)> |
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))> |
#<alt n0_i> |
#<alt (+ n0_i (* n1_i u))> |
#<alt (+ n0_i (* n1_i u))> |
#<alt (+ n0_i (* n1_i u))> |
#<alt (* n1_i u)> |
#<alt (* n1_i (+ u (/ n0_i n1_i)))> |
#<alt (* n1_i (+ u (/ n0_i n1_i)))> |
#<alt (* n1_i (+ u (/ n0_i n1_i)))> |
#<alt (* n1_i u)> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))> |
#<alt (* n1_i u)> |
#<alt (+ n0_i (* n1_i u))> |
#<alt (+ n0_i (* n1_i u))> |
#<alt (+ n0_i (* n1_i u))> |
#<alt n0_i> |
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))> |
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))> |
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))> |
#<alt n0_i> |
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))> |
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))> |
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))> |
#<alt (* n1_i u)> |
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#<alt n0_i> |
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#<alt (* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i))))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (* u (+ n0_i (* 2 n0_i))))) (* -1/6 (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i)))))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i)))) (* u (+ (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i)))))))))))> |
#<alt (* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i)))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u))))> |
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i))) (pow u 2))) (/ n1_i (pow u 2)))))))> |
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))))> |
#<alt (* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (+ n1_i (* 2 n0_i)))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* 2 n0_i))))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u)) (* n1_i u)))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u)) (* n1_i u)))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u)) (* n1_i u)))> |
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)))) u))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))))))> |
#<alt (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u)))> |
#<alt (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))> |
#<alt (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))> |
#<alt (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))> |
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))> |
#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (* -1/6 (/ (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))> |
#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (* -1/6 (/ (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))> |
#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (* -1/6 (/ (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))> |
#<alt (* n1_i u)> |
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))> |
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (* n1_i u)))))> |
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/6 (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))> |
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle)))> |
#<alt (* (pow normAngle 3) (+ (* -1/6 (/ (* n1_i (pow u 3)) (sin normAngle))) (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))))> |
#<alt (* (pow normAngle 3) (+ (* -1/6 (/ (* n1_i (pow u 3)) (sin normAngle))) (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))))> |
#<alt (* (pow normAngle 3) (+ (* -1/6 (/ (* n1_i (pow u 3)) (sin normAngle))) (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))))> |
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle)))> |
#<alt (* -1 (* (pow normAngle 3) (+ (* -1 (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow u 3)) (sin normAngle))))))> |
#<alt (* -1 (* (pow normAngle 3) (+ (* -1 (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow u 3)) (sin normAngle))))))> |
#<alt (* -1 (* (pow normAngle 3) (+ (* -1 (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow u 3)) (sin normAngle))))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle)))> |
#<alt (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))))> |
#<alt (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))))> |
#<alt (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))))> |
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle)))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))))))> |
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))> |
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))> |
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))> |
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))> |
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))> |
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))> |
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))> |
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))> |
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))> |
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))> |
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))> |
#<alt (/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle))> |
#<alt (* normAngle u)> |
#<alt (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))> |
#<alt (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))> |
#<alt (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))> |
#<alt (* -1/6 (* (pow normAngle 3) (pow u 3)))> |
#<alt (* (pow normAngle 3) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 3) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 3) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))> |
#<alt (* -1/6 (* (pow normAngle 3) (pow u 3)))> |
#<alt (* -1 (* (pow normAngle 3) (+ (* -1 (/ u (pow normAngle 2))) (* 1/6 (pow u 3)))))> |
#<alt (* -1 (* (pow normAngle 3) (+ (* -1 (/ u (pow normAngle 2))) (* 1/6 (pow u 3)))))> |
#<alt (* -1 (* (pow normAngle 3) (+ (* -1 (/ u (pow normAngle 2))) (* 1/6 (pow u 3)))))> |
#<alt (* normAngle u)> |
#<alt (* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))> |
#<alt (* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))> |
#<alt (* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))> |
#<alt (* -1/6 (* (pow normAngle 3) (pow u 3)))> |
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 3)) (/ normAngle (pow u 2))))> |
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 3)) (/ normAngle (pow u 2))))> |
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 3)) (/ normAngle (pow u 2))))> |
#<alt (* -1/6 (* (pow normAngle 3) (pow u 3)))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ normAngle (pow u 2))) (* 1/6 (pow normAngle 3)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ normAngle (pow u 2))) (* 1/6 (pow normAngle 3)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ normAngle (pow u 2))) (* 1/6 (pow normAngle 3)))))> |
#<alt u> |
#<alt (* u (+ 1 (* -1/6 (* (pow normAngle 2) (pow u 2)))))> |
#<alt (* u (+ 1 (* -1/6 (* (pow normAngle 2) (pow u 2)))))> |
#<alt (* u (+ 1 (* -1/6 (* (pow normAngle 2) (pow u 2)))))> |
#<alt (* -1/6 (* (pow normAngle 2) (pow u 3)))> |
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2))))> |
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2))))> |
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2))))> |
#<alt (* -1/6 (* (pow normAngle 2) (pow u 3)))> |
#<alt (* -1 (* (pow u 3) (- (* 1/6 (pow normAngle 2)) (/ 1 (pow u 2)))))> |
#<alt (* -1 (* (pow u 3) (- (* 1/6 (pow normAngle 2)) (/ 1 (pow u 2)))))> |
#<alt (* -1 (* (pow u 3) (- (* 1/6 (pow normAngle 2)) (/ 1 (pow u 2)))))> |
#<alt u> |
#<alt (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))> |
#<alt (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))> |
#<alt (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))> |
#<alt (* -1/6 (* (pow normAngle 2) (pow u 3)))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))> |
#<alt (* -1/6 (* (pow normAngle 2) (pow u 3)))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2))))> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (pow u 3)> |
#<alt (* n1_i (- (pow u 2) 1))> |
#<alt (* n1_i (- (pow u 2) 1))> |
#<alt (* n1_i (- (pow u 2) 1))> |
#<alt (* n1_i (- (pow u 2) 1))> |
#<alt (* n1_i (- (pow u 2) 1))> |
#<alt (* n1_i (- (pow u 2) 1))> |
#<alt (* n1_i (- (pow u 2) 1))> |
#<alt (* n1_i (- (pow u 2) 1))> |
#<alt (* n1_i (- (pow u 2) 1))> |
#<alt (* n1_i (- (pow u 2) 1))> |
#<alt (* n1_i (- (pow u 2) 1))> |
#<alt (* n1_i (- (pow u 2) 1))> |
#<alt (* -1 n1_i)> |
#<alt (+ (* -1 n1_i) (* n1_i (pow u 2)))> |
#<alt (+ (* -1 n1_i) (* n1_i (pow u 2)))> |
#<alt (+ (* -1 n1_i) (* n1_i (pow u 2)))> |
#<alt (* n1_i (pow u 2))> |
#<alt (* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))> |
#<alt (* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))> |
#<alt (* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))> |
#<alt (* n1_i (pow u 2))> |
#<alt (* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))> |
#<alt (* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))> |
#<alt (* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -2 u))> |
#<alt (+ 1 (* u (- u 2)))> |
#<alt (+ 1 (* u (- u 2)))> |
#<alt (pow u 2)> |
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))> |
#<alt (pow u 2)> |
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))> |
#<alt (* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))> |
#<alt (* -1/6 (* u (+ (* -2 n0_i) (* -1 n1_i))))> |
#<alt (* u (+ (* -1/6 (* u (+ n0_i (* 2 n0_i)))) (* -1/6 (+ (* -2 n0_i) (* -1 n1_i)))))> |
#<alt (* u (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* u (+ (* -1/6 (* u (+ n1_i (* -1 n0_i)))) (* -1/6 (+ n0_i (* 2 n0_i)))))))> |
#<alt (* u (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* u (+ (* -1/6 (* u (+ n1_i (* -1 n0_i)))) (* -1/6 (+ n0_i (* 2 n0_i)))))))> |
#<alt (* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i))))> |
#<alt (* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (+ n0_i (* 2 n0_i)) u))))> |
#<alt (* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (* -1/6 (/ (+ (* -2 n0_i) (* -1 n1_i)) (pow u 2))))))> |
#<alt (* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (* -1/6 (/ (+ (* -2 n0_i) (* -1 n1_i)) (pow u 2))))))> |
#<alt (* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/6 (/ (+ n0_i (* 2 n0_i)) u)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (/ (+ n1_i (* 2 n0_i)) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (/ (+ n1_i (* 2 n0_i)) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))> |
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i (* u (- (pow u 2) 1)))))> |
#<alt (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i (* u (- (pow u 2) 1)))))> |
#<alt (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i (* u (- (pow u 2) 1)))))> |
#<alt (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))> |
#<alt (* n0_i (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))> |
#<alt (* n0_i (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))> |
#<alt (* n0_i (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))> |
#<alt (* 1/6 (* n0_i (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))> |
#<alt (* -1 (* n0_i (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* 1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* 1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* 1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))> |
#<alt (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))> |
#<alt (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))> |
#<alt (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))> |
#<alt (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))> |
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* n1_i (+ (* -1/6 (* u (- (pow u 2) 1))) (* -1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))> |
#<alt (* n1_i (+ (* -1/6 (* u (- (pow u 2) 1))) (* -1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))> |
#<alt (* n1_i (+ (* -1/6 (* u (- (pow u 2) 1))) (* -1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))> |
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* -1 (* n1_i (+ (* 1/6 (* u (- (pow u 2) 1))) (* 1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* 1/6 (* u (- (pow u 2) 1))) (* 1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* 1/6 (* u (- (pow u 2) 1))) (* 1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))> |
#<alt (* -1/6 (pow normAngle 2))> |
#<alt (* -1/6 (pow normAngle 2))> |
#<alt (* -1/6 (pow normAngle 2))> |
#<alt (* -1/6 (pow normAngle 2))> |
#<alt (* -1/6 (pow normAngle 2))> |
#<alt (* -1/6 (pow normAngle 2))> |
#<alt (* -1/6 (pow normAngle 2))> |
#<alt (* -1/6 (pow normAngle 2))> |
#<alt (* -1/6 (pow normAngle 2))> |
#<alt (* -1/6 (pow normAngle 2))> |
#<alt (* -1/6 (pow normAngle 2))> |
#<alt (* -1/6 (pow normAngle 2))> |
#<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))> |
156 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | normAngle | @ | 0 | (+ (* normAngle (* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle)) (* n1_i u)) |
| 2.0ms | n1_i | @ | inf | (* n1_i (+ (* u u) -1)) |
| 2.0ms | n0_i | @ | -inf | (+ (* n0_i (- 1 u)) (* u n1_i)) |
| 2.0ms | n1_i | @ | 0 | (* (* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)) (/ n1_i (sin normAngle))) |
| 1.0ms | normAngle | @ | inf | (/ n0_i (* (/ -1 normAngle) (tan normAngle))) |
| 1× | batch-egg-rewrite |
| 6 612× | *-lowering-*.f32 |
| 6 612× | *-lowering-*.f64 |
| 4 988× | accelerator-lowering-fma.f32 |
| 4 988× | accelerator-lowering-fma.f64 |
| 3 040× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 276 |
| 1 | 309 | 265 |
| 2 | 2832 | 265 |
| 0 | 8509 | 250 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ n0_i (* (/ -1 normAngle) (tan normAngle))) |
(+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) |
(* (/ -1 normAngle) (tan normAngle)) |
(+ (* (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) u) n0_i) |
(+ (* u n1_i) n0_i) |
(+ (* normAngle (* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle)) (* n1_i u)) |
(* (* -1/6 (* u (* n1_i (+ (* u u) -1)))) normAngle) |
(* -1/6 (* u (* n1_i (+ (* u u) -1)))) |
(* u (* n1_i (+ (* u u) -1))) |
(+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i)) |
(+ (* n0_i (- 1 u)) (* u n1_i)) |
(+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1)))) |
(+ (* (* normAngle normAngle) (* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1)))))) (+ (* n0_i (- 1 u)) (* u n1_i))) |
(* (* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)) (/ n1_i (sin normAngle))) |
(* normAngle (+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u)) |
(+ (* (* u (* u u)) (* (* normAngle normAngle) -1/6)) u) |
(* u (* u u)) |
(* n1_i (+ (* u u) -1)) |
(* (- 1 u) (- 1 u)) |
(* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1))))) |
(* (* normAngle normAngle) -1/6) |
(/ n1_i (sin normAngle)) |
| Outputs |
|---|
(neg.f32 (/.f32 n0_i (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))) |
(neg.f32 (/.f32 (neg.f32 n0_i) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (tan.f32 normAngle) (*.f32 n0_i (*.f32 normAngle #s(literal -1 binary32)))) #s(literal -1 binary32)) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)))) (/.f32 n0_i (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))) |
(/.f32 n0_i (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (tan.f32 normAngle) (*.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))))) |
(/.f32 (neg.f32 n0_i) (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)))) |
(/.f32 (*.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))) (tan.f32 normAngle)) |
(/.f32 (*.f32 n0_i #s(literal 1 binary32)) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))) |
(/.f32 (neg.f32 (neg.f32 n0_i)) (neg.f32 (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))) |
(/.f32 (neg.f32 (*.f32 n0_i (*.f32 normAngle #s(literal -1 binary32)))) (neg.f32 (tan.f32 normAngle))) |
(/.f32 (/.f32 n0_i (tan.f32 normAngle)) (/.f32 #s(literal -1 binary32) normAngle)) |
(*.f32 n0_i (/.f32 (*.f32 normAngle #s(literal -1 binary32)) (tan.f32 normAngle))) |
(*.f32 #s(literal -1 binary32) (/.f32 n0_i (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))) |
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle)) |
(*.f32 (neg.f32 n0_i) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))) |
(*.f32 (*.f32 normAngle #s(literal -1 binary32)) (pow.f32 (/.f32 (tan.f32 normAngle) n0_i) #s(literal -1 binary32))) |
(*.f32 (/.f32 (*.f32 normAngle #s(literal -1 binary32)) (tan.f32 normAngle)) n0_i) |
(*.f32 (/.f32 (*.f32 normAngle #s(literal -1 binary32)) (tan.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32))) |
(*.f32 (*.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle))) |
(*.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) (*.f32 n0_i (*.f32 normAngle #s(literal -1 binary32)))) |
(*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) |
(*.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))) (sin.f32 normAngle)) (cos.f32 normAngle)) |
(+.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(+.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle)) |
(pow.f32 (/.f32 (fma.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (-.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (/.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 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) 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))))) (pow.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 2 binary32)))) #s(literal -1 binary32)) |
(fma.f32 n0_i (/.f32 (*.f32 normAngle #s(literal -1 binary32)) (tan.f32 normAngle)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 #s(literal -1 binary32) (/.f32 n0_i (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle)) |
(fma.f32 n1_i (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) normAngle) (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle)) |
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle)) |
(fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 (neg.f32 n0_i) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 (*.f32 normAngle #s(literal -1 binary32)) (pow.f32 (/.f32 (tan.f32 normAngle) n0_i) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 (/.f32 (*.f32 normAngle #s(literal -1 binary32)) (tan.f32 normAngle)) n0_i (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 (/.f32 (*.f32 normAngle #s(literal -1 binary32)) (tan.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 (*.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle)) |
(fma.f32 (*.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) (*.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(fma.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))) (sin.f32 normAngle)) (cos.f32 normAngle) (*.f32 normAngle (/.f32 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))))) (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle)))) (/.f32 (pow.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 2 binary32)) (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (-.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (/.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 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) 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))))) (pow.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 2 binary32))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (-.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (/.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 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (*.f32 normAngle n1_i)) (*.f32 (*.f32 normAngle n1_i) (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle))) (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))))) (pow.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 2 binary32))) (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle)))) |
(/.f32 (fma.f32 n0_i (sin.f32 normAngle) (*.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (*.f32 normAngle n1_i))) (*.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (sin.f32 normAngle))) |
(/.f32 (fma.f32 #s(literal 1 binary32) (sin.f32 normAngle) (*.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) (*.f32 normAngle n1_i))) (*.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) (sin.f32 normAngle))) |
(/.f32 (fma.f32 (neg.f32 n0_i) (sin.f32 normAngle) (*.f32 (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))) (*.f32 normAngle n1_i))) (*.f32 (neg.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))) (sin.f32 normAngle))) |
(/.f32 (fma.f32 (*.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))) (sin.f32 normAngle) (*.f32 (tan.f32 normAngle) (*.f32 normAngle n1_i))) (*.f32 (tan.f32 normAngle) (sin.f32 normAngle))) |
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(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)) (fma.f32 u u #s(literal -1 binary32)) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) u (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) n1_i (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32)))) |
(fma.f32 (*.f32 (*.f32 u #s(literal -1/6 binary32)) n1_i) (fma.f32 u u #s(literal -1 binary32)) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32)))) |
(fma.f32 (*.f32 (*.f32 u #s(literal -1/6 binary32)) (fma.f32 u u #s(literal -1 binary32))) n1_i (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32)))) |
(/.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))) #s(literal -1/216 binary32) (*.f32 (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) #s(literal -1/216 binary32))) (fma.f32 (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 n1_i u) (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 n1_i u) (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))) (*.f32 (*.f32 n1_i u) (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/6 binary32))))))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32)))) (*.f32 (*.f32 (*.f32 n1_i u) (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 n1_i u) (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/6 binary32))))) (-.f32 (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/6 binary32))) (*.f32 (*.f32 n1_i u) (*.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal -1/6 binary32))))) |
(/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (-.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))) |
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (neg.f32 n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (neg.f32 n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) |
(/.f32 (*.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (-.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))) |
(/.f32 (*.f32 (*.f32 (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (neg.f32 n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (neg.f32 n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) |
(*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))) |
(*.f32 (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) #s(literal -1/6 binary32)) |
(*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(*.f32 (*.f32 normAngle #s(literal -1/6 binary32)) normAngle) |
(neg.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle)))) |
(neg.f32 (/.f32 (neg.f32 n1_i) (sin.f32 normAngle))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) n1_i)) #s(literal -1 binary32))) |
(pow.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) n1_i))) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) n1_i)) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32))) |
(/.f32 (neg.f32 n1_i) (neg.f32 (sin.f32 normAngle))) |
(/.f32 (neg.f32 (neg.f32 n1_i)) (neg.f32 (neg.f32 (sin.f32 normAngle)))) |
(/.f32 (*.f32 n1_i #s(literal 1 binary32)) (sin.f32 normAngle)) |
(*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 #s(literal 1 binary32) (/.f32 n1_i (sin.f32 normAngle))) |
(*.f32 (neg.f32 n1_i) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) n1_i) #s(literal -1 binary32))) |
| 1× | egg-herbie |
| 10 610× | accelerator-lowering-fma.f32 |
| 10 610× | accelerator-lowering-fma.f64 |
| 7 372× | *-lowering-*.f32 |
| 7 372× | *-lowering-*.f64 |
| 5 936× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 761 | 9911 |
| 1 | 2721 | 9445 |
| 2 | 7755 | 9424 |
| 0 | 8593 | 9016 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 n0_i) |
(+ (* -1 n0_i) (* 1/3 (* n0_i (pow normAngle 2)))) |
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (* 2/15 n0_i)))))) |
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (+ (* 2/15 n0_i) (* (pow normAngle 2) (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 n0_i)))))))))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (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) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* -1/9 n0_i) (+ (* 2/15 n0_i) (* (pow normAngle 2) (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 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)))))) |
(/ (* 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))))) |
-1 |
(- (* -1/3 (pow normAngle 2)) 1) |
(- (* (pow normAngle 2) (- (* -2/15 (pow normAngle 2)) 1/3)) 1) |
(- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -17/315 (pow normAngle 2)) 2/15)) 1/3)) 1) |
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle)))) |
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle)))) |
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle)))) |
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle)))) |
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle)))) |
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle)))) |
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle)))) |
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle)))) |
(+ 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) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 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) (+ (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 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))))) |
(/ (* 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 |
(+ 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))))) |
n0_i |
(+ n0_i (* n1_i u)) |
(+ n0_i (* n1_i u)) |
(+ n0_i (* n1_i u)) |
(* n1_i u) |
(* u (+ n1_i (/ n0_i u))) |
(* u (+ n1_i (/ n0_i u))) |
(* u (+ n1_i (/ n0_i u))) |
(* n1_i u) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u))))) |
n0_i |
(+ n0_i (* n1_i u)) |
(+ n0_i (* n1_i u)) |
(+ n0_i (* n1_i u)) |
(* n1_i u) |
(* n1_i (+ u (/ n0_i n1_i))) |
(* n1_i (+ u (/ n0_i n1_i))) |
(* n1_i (+ u (/ n0_i n1_i))) |
(* n1_i u) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i))))) |
(* n1_i u) |
(+ n0_i (* n1_i u)) |
(+ n0_i (* n1_i u)) |
(+ n0_i (* n1_i u)) |
n0_i |
(* n0_i (+ 1 (/ (* n1_i u) n0_i))) |
(* n0_i (+ 1 (/ (* n1_i u) n0_i))) |
(* n0_i (+ 1 (/ (* n1_i u) n0_i))) |
n0_i |
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1))) |
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1))) |
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1))) |
(* n1_i u) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2)))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n1_i u) (pow normAngle 2)))) |
(* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))) |
(* 1/6 (* n1_i (* normAngle u))) |
(* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle)))) |
(* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle)))) |
(* u (+ (* -1/6 (* n1_i (* normAngle (pow u 2)))) (* 1/6 (* n1_i normAngle)))) |
(* -1/6 (* n1_i (* normAngle (pow u 3)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i normAngle)) (* 1/6 (/ (* n1_i normAngle) (pow u 2))))) |
(* -1/6 (* n1_i (* normAngle (pow u 3)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i normAngle) (pow u 2))) (* 1/6 (* n1_i normAngle))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* normAngle (* u (- (pow u 2) 1))))) |
(* 1/6 (* n1_i u)) |
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i))) |
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i))) |
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i))) |
(* -1/6 (* n1_i (pow u 3))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) |
(* -1/6 (* n1_i (pow u 3))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1 (* n1_i u)) |
(* u (+ (* -1 n1_i) (* n1_i (pow u 2)))) |
(* u (+ (* -1 n1_i) (* n1_i (pow u 2)))) |
(* u (+ (* -1 n1_i) (* n1_i (pow u 2)))) |
(* n1_i (pow u 3)) |
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
(* n1_i (pow u 3)) |
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2))))) |
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2))))) |
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2))))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n0_i (- (pow (- 1 u) 2) 1)) |
(* n0_i (- (pow (- 1 u) 2) 1)) |
(* n0_i (- (pow (- 1 u) 2) 1)) |
(* n0_i (- (pow (- 1 u) 2) 1)) |
(* n0_i (- (pow (- 1 u) 2) 1)) |
(* n0_i (- (pow (- 1 u) 2) 1)) |
(* n0_i (- (pow (- 1 u) 2) 1)) |
(* n0_i (- (pow (- 1 u) 2) 1)) |
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2))))) |
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2))))) |
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2))))) |
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2))))) |
(* -2 (* n0_i u)) |
(* u (+ (* -2 n0_i) (* n0_i u))) |
(* u (+ (* -2 n0_i) (* n0_i u))) |
(* u (+ (* -2 n0_i) (* n0_i u))) |
(* n0_i (pow u 2)) |
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u)))) |
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u)))) |
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u)))) |
(* n0_i (pow u 2)) |
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u)))) |
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u)))) |
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u)))) |
(* 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))))) |
(* u (+ (* -2 n0_i) (* -1 n1_i))) |
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ n0_i (* 2 n0_i)))))) |
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ n0_i (+ (* 2 n0_i) (* u (+ n1_i (* -1 n0_i))))))))) |
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ n0_i (+ (* 2 n0_i) (* u (+ n1_i (* -1 n0_i))))))))) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (+ (* 2 (/ n0_i u)) (/ n0_i u))))) |
(* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (+ (* 2 (/ n0_i u)) (/ n0_i u))))))) |
(* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (+ (* 2 (/ n0_i u)) (/ n0_i u))))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ n0_i (* 2 n0_i)) u)))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ n0_i (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 2 n0_i))) u)))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ n0_i (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 2 n0_i))) u)))))) |
(* n1_i (* u (- (pow u 2) 1))) |
(+ (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* n1_i (* u (- (pow u 2) 1)))) |
(+ (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* n1_i (* u (- (pow u 2) 1)))) |
(+ (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* n1_i (* u (- (pow u 2) 1)))) |
(* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))) |
(* n0_i (+ (* (- 1 u) (- (pow (- 1 u) 2) 1)) (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))) |
(* n0_i (+ (* (- 1 u) (- (pow (- 1 u) 2) 1)) (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))) |
(* n0_i (+ (* (- 1 u) (- (pow (- 1 u) 2) 1)) (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))) |
(* -1 (* n0_i (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))) |
(* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) |
(+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) |
(+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) |
(+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))) |
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))) |
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(+ (* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(+ (* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) |
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) |
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
n0_i |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i)))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (* u (+ n0_i (* 2 n0_i))))) (* -1/6 (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i)))) (* u (+ (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))))))))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i))) (pow u 2))) (/ n1_i (pow u 2))))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))) |
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (+ n1_i (* 2 n0_i)))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* 2 n0_i))))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u)) (* n1_i u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u)) (* n1_i u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u)) (* n1_i u))) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)))) u)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))) |
(+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (* -1/6 (/ (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (* -1/6 (/ (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (* -1/6 (/ (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/6 (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle))) |
(* (pow normAngle 3) (+ (* -1/6 (/ (* n1_i (pow u 3)) (sin normAngle))) (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle))))) |
(* (pow normAngle 3) (+ (* -1/6 (/ (* n1_i (pow u 3)) (sin normAngle))) (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle))))) |
(* (pow normAngle 3) (+ (* -1/6 (/ (* n1_i (pow u 3)) (sin normAngle))) (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle))))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle))) |
(* -1 (* (pow normAngle 3) (+ (* -1 (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow u 3)) (sin normAngle)))))) |
(* -1 (* (pow normAngle 3) (+ (* -1 (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow u 3)) (sin normAngle)))))) |
(* -1 (* (pow normAngle 3) (+ (* -1 (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow u 3)) (sin normAngle)))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle))) |
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle))))) |
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle))))) |
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle))))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle)))))) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(* normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(* -1/6 (* (pow normAngle 3) (pow u 3))) |
(* (pow normAngle 3) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2)))) |
(* (pow normAngle 3) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2)))) |
(* (pow normAngle 3) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2)))) |
(* -1/6 (* (pow normAngle 3) (pow u 3))) |
(* -1 (* (pow normAngle 3) (+ (* -1 (/ u (pow normAngle 2))) (* 1/6 (pow u 3))))) |
(* -1 (* (pow normAngle 3) (+ (* -1 (/ u (pow normAngle 2))) (* 1/6 (pow u 3))))) |
(* -1 (* (pow normAngle 3) (+ (* -1 (/ u (pow normAngle 2))) (* 1/6 (pow u 3))))) |
(* normAngle u) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(* -1/6 (* (pow normAngle 3) (pow u 3))) |
(* (pow u 3) (+ (* -1/6 (pow normAngle 3)) (/ normAngle (pow u 2)))) |
(* (pow u 3) (+ (* -1/6 (pow normAngle 3)) (/ normAngle (pow u 2)))) |
(* (pow u 3) (+ (* -1/6 (pow normAngle 3)) (/ normAngle (pow u 2)))) |
(* -1/6 (* (pow normAngle 3) (pow u 3))) |
(* -1 (* (pow u 3) (+ (* -1 (/ normAngle (pow u 2))) (* 1/6 (pow normAngle 3))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ normAngle (pow u 2))) (* 1/6 (pow normAngle 3))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ normAngle (pow u 2))) (* 1/6 (pow normAngle 3))))) |
u |
(* u (+ 1 (* -1/6 (* (pow normAngle 2) (pow u 2))))) |
(* u (+ 1 (* -1/6 (* (pow normAngle 2) (pow u 2))))) |
(* u (+ 1 (* -1/6 (* (pow normAngle 2) (pow u 2))))) |
(* -1/6 (* (pow normAngle 2) (pow u 3))) |
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) |
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) |
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) |
(* -1/6 (* (pow normAngle 2) (pow u 3))) |
(* -1 (* (pow u 3) (- (* 1/6 (pow normAngle 2)) (/ 1 (pow u 2))))) |
(* -1 (* (pow u 3) (- (* 1/6 (pow normAngle 2)) (/ 1 (pow u 2))))) |
(* -1 (* (pow u 3) (- (* 1/6 (pow normAngle 2)) (/ 1 (pow u 2))))) |
u |
(+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))) |
(+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))) |
(+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))) |
(* -1/6 (* (pow normAngle 2) (pow u 3))) |
(* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2)))) |
(* -1/6 (* (pow normAngle 2) (pow u 3))) |
(* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2)))) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(pow u 3) |
(* n1_i (- (pow u 2) 1)) |
(* n1_i (- (pow u 2) 1)) |
(* n1_i (- (pow u 2) 1)) |
(* n1_i (- (pow u 2) 1)) |
(* n1_i (- (pow u 2) 1)) |
(* n1_i (- (pow u 2) 1)) |
(* n1_i (- (pow u 2) 1)) |
(* n1_i (- (pow u 2) 1)) |
(* n1_i (- (pow u 2) 1)) |
(* n1_i (- (pow u 2) 1)) |
(* n1_i (- (pow u 2) 1)) |
(* n1_i (- (pow u 2) 1)) |
(* -1 n1_i) |
(+ (* -1 n1_i) (* n1_i (pow u 2))) |
(+ (* -1 n1_i) (* n1_i (pow u 2))) |
(+ (* -1 n1_i) (* n1_i (pow u 2))) |
(* n1_i (pow u 2)) |
(* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
(* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
(* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
(* n1_i (pow u 2)) |
(* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
(* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
(* (pow u 2) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
1 |
(+ 1 (* -2 u)) |
(+ 1 (* u (- u 2))) |
(+ 1 (* u (- u 2))) |
(pow u 2) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u)))) |
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u)))) |
(pow u 2) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u)))) |
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u)))) |
(* -1/6 (* u (+ (* -2 n0_i) (* -1 n1_i)))) |
(* u (+ (* -1/6 (* u (+ n0_i (* 2 n0_i)))) (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))))) |
(* u (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* u (+ (* -1/6 (* u (+ n1_i (* -1 n0_i)))) (* -1/6 (+ n0_i (* 2 n0_i))))))) |
(* u (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* u (+ (* -1/6 (* u (+ n1_i (* -1 n0_i)))) (* -1/6 (+ n0_i (* 2 n0_i))))))) |
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i)))) |
(* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)))) |
(* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (* -1/6 (/ (+ (* -2 n0_i) (* -1 n1_i)) (pow u 2)))))) |
(* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (* -1/6 (/ (+ (* -2 n0_i) (* -1 n1_i)) (pow u 2)))))) |
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/6 (/ (+ n0_i (* 2 n0_i)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (/ (+ n1_i (* 2 n0_i)) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (/ (+ n1_i (* 2 n0_i)) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i)))))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i (* u (- (pow u 2) 1))))) |
(+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i (* u (- (pow u 2) 1))))) |
(+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i (* u (- (pow u 2) 1))))) |
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) |
(* n0_i (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))) |
(* n0_i (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))) |
(* n0_i (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))) |
(* 1/6 (* n0_i (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))) |
(* -1 (* n0_i (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* 1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))) |
(* -1 (* n0_i (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* 1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))) |
(* -1 (* n0_i (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* 1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))) |
(* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) |
(+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) |
(+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) |
(+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* n1_i (+ (* -1/6 (* u (- (pow u 2) 1))) (* -1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))) |
(* n1_i (+ (* -1/6 (* u (- (pow u 2) 1))) (* -1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))) |
(* n1_i (+ (* -1/6 (* u (- (pow u 2) 1))) (* -1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1 (* n1_i (+ (* 1/6 (* u (- (pow u 2) 1))) (* 1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))) |
(* -1 (* n1_i (+ (* 1/6 (* u (- (pow u 2) 1))) (* 1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))) |
(* -1 (* n1_i (+ (* 1/6 (* u (- (pow u 2) 1))) (* 1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(/ 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)) |
| Outputs |
|---|
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 n0_i) |
(neg.f32 n0_i) |
(+ (* -1 n0_i) (* 1/3 (* n0_i (pow normAngle 2)))) |
(fma.f32 #s(literal 1/3 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (neg.f32 n0_i)) |
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (* 2/15 n0_i)))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) |
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (+ (* 2/15 n0_i) (* (pow normAngle 2) (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 n0_i)))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #s(literal 1/45 binary32)) #s(literal -1/3 binary32) (*.f32 n0_i #s(literal 1/105 binary32))) (*.f32 n0_i #s(literal 1/45 binary32))) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(+ 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 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) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* -1/9 n0_i) (* 2/15 n0_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 n0_i #s(literal 1/45 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) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* -1/9 n0_i) (+ (* 2/15 n0_i) (* (pow normAngle 2) (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 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 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #s(literal 1/45 binary32)) #s(literal -1/3 binary32) (-.f32 (*.f32 n0_i #s(literal 1/105 binary32)) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 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)) |
(* 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 (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 normAngle (/.f32 n1_i (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 (sin.f32 normAngle) n1_i)) (/.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 (sin.f32 normAngle) n1_i)) (/.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 (sin.f32 normAngle) n1_i)) (/.f32 normAngle (sin.f32 normAngle)))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(neg.f32 (*.f32 n1_i (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i)) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(neg.f32 (*.f32 n1_i (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i)) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(neg.f32 (*.f32 n1_i (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (*.f32 (sin.f32 normAngle) n1_i)) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(neg.f32 (*.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(*.f32 (neg.f32 n0_i) (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (sin.f32 normAngle)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(*.f32 (neg.f32 n0_i) (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (sin.f32 normAngle)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(*.f32 (neg.f32 n0_i) (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (sin.f32 normAngle)))))) |
-1 |
#s(literal -1 binary32) |
(- (* -1/3 (pow normAngle 2)) 1) |
(fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal -1 binary32)) |
(- (* (pow normAngle 2) (- (* -2/15 (pow normAngle 2)) 1/3)) 1) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -2/15 binary32) #s(literal -1/3 binary32)) #s(literal -1 binary32)) |
(- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -17/315 (pow normAngle 2)) 2/15)) 1/3)) 1) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -17/315 binary32) #s(literal -2/15 binary32)) #s(literal -1/3 binary32)) #s(literal -1 binary32)) |
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle)))) |
(/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle (cos.f32 normAngle))) |
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle)))) |
(/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle (cos.f32 normAngle))) |
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle)))) |
(/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle (cos.f32 normAngle))) |
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle)))) |
(/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle (cos.f32 normAngle))) |
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle)))) |
(/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle (cos.f32 normAngle))) |
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle)))) |
(/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle (cos.f32 normAngle))) |
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle)))) |
(/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle (cos.f32 normAngle))) |
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle)))) |
(/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 normAngle (cos.f32 normAngle))) |
(+ 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 normAngle normAngle) (*.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 (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal 1/45 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 (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 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 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 n0_i #s(literal 1/45 binary32)) #s(literal -1/3 binary32) (-.f32 (*.f32 n0_i #s(literal 1/105 binary32)) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 binary32))))) (*.f32 (fma.f32 n0_i #s(literal 1/45 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 (*.f32 normAngle u) (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 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))) |
(* 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 (neg.f32 (*.f32 normAngle 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 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(fma.f32 n0_i (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle))) (fma.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n0_i)) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(fma.f32 n0_i (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle))) (fma.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n0_i)) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(fma.f32 n0_i (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle))) (fma.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n0_i)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(*.f32 n1_i (*.f32 u (/.f32 normAngle (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 (cos.f32 normAngle) u) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n1_i))) (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 (cos.f32 normAngle) u) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n1_i))) (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 (cos.f32 normAngle) u) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n1_i))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i)))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(*.f32 n1_i (*.f32 u (/.f32 normAngle (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 n1_i (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (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 n1_i (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (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 n1_i (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) n1_i))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 n0_i (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle))) (fma.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n0_i)) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 n0_i (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle))) (fma.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n0_i)) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 n0_i (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle))) (fma.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n0_i)) |
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (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 (*.f32 normAngle n1_i) (/.f32 u (*.f32 n0_i (sin.f32 normAngle))) (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (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 (*.f32 normAngle n1_i) (/.f32 u (*.f32 n0_i (sin.f32 normAngle))) (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (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 (*.f32 normAngle n1_i) (/.f32 u (*.f32 n0_i (sin.f32 normAngle))) (*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)))) n0_i) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(*.f32 (neg.f32 n0_i) (fma.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (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 n0_i (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 n0_i (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 n0_i (sin.f32 normAngle))) #s(literal -1 binary32)))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (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 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (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 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) u n0_i) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (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 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 n1_i (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 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 n1_i (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 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i u)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) u) |
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))))) |
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i u)))) (neg.f32 u)) |
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))))) |
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(* n1_i (* u (- (pow u 2) 1))) |
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(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))) |
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(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))) |
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(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))) |
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(* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) |
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(+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)))) |
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(+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)))) |
(* n1_i (* u (- (pow u 2) 1))) |
(*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))) |
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))) |
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(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))) |
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(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))) |
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(* n1_i (* u (- (pow u 2) 1))) |
(*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))) |
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))) |
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(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))) |
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(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))) |
(neg.f32 (*.f32 n1_i (neg.f32 (fma.f32 u (fma.f32 u u #s(literal -1 binary32)) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) |
(+ (* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
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(+ (* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
(+ (* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
(* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))))) |
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)) (/.f32 (*.f32 n1_i u) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)) (/.f32 (*.f32 n1_i u) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)) (/.f32 (*.f32 n1_i u) (*.f32 normAngle normAngle))))) |
(* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))))) |
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)) (/.f32 (*.f32 n1_i u) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)) (/.f32 (*.f32 n1_i u) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)) (/.f32 (*.f32 n1_i u) (*.f32 normAngle normAngle))))) |
n0_i |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i)))))))) |
(fma.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (-.f32 n1_i n0_i)) n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (* u (+ n0_i (* 2 n0_i))))) (* -1/6 (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i))))))))) |
(fma.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 #s(literal 3 binary32) n0_i) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i))) (-.f32 n1_i n0_i)) n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i)))) (* u (+ (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))))))))) |
(fma.f32 u (+.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (-.f32 n1_i n0_i)) (*.f32 u (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i))))) n0_i) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i))))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 n1_i n0_i) (*.f32 u (*.f32 u u)))) |
(* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)))) |
(*.f32 (*.f32 u (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 3 binary32) (/.f32 n0_i u) (-.f32 n1_i n0_i))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i))) (pow u 2))) (/ n1_i (pow u 2))))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 3 binary32) (/.f32 n0_i u) (-.f32 n1_i n0_i))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (/.f32 #s(literal -1/6 binary32) (*.f32 u u)) (/.f32 n1_i (*.f32 u u)))) (/.f32 n0_i (*.f32 u u)))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (+ (* -2 n0_i) (* -1 n1_i))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 3 binary32) (/.f32 n0_i u) (-.f32 n1_i n0_i))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i) (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (/.f32 n1_i (*.f32 u u))) (/.f32 n0_i (*.f32 u u)))) |
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i))))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 n0_i n1_i))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u))))) |
(*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 #s(literal 3 binary32) n0_i) u)) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 n0_i n1_i))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (+ n1_i (* 2 n0_i)))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (-.f32 n0_i n1_i)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 3 binary32) n0_i)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 2 binary32) n1_i)) (-.f32 n0_i n1_i)) (neg.f32 u))) (neg.f32 u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* 2 n0_i))))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (-.f32 n0_i n1_i)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 3 binary32) n0_i)) (/.f32 (+.f32 (-.f32 (/.f32 n0_i (neg.f32 u)) n1_i) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i #s(literal 2 binary32) n1_i) n0_i)) (neg.f32 u))) (neg.f32 u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n1_i u)) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u)) (* n1_i u))) |
(fma.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n1_i u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u)) (* n1_i u))) |
(fma.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n1_i u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u)) (* n1_i u))) |
(fma.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n1_i u))) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (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 (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)))) u)) |
(*.f32 n0_i (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (/.f32 n1_i n0_i))) (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)))) u)) |
(*.f32 n0_i (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (/.f32 n1_i n0_i))) (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)))) u)) |
(*.f32 n0_i (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (/.f32 n1_i n0_i))) (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))) u)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))))) |
(*.f32 (neg.f32 n0_i) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))) |
(*.f32 (neg.f32 n0_i) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u)) (-.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n1_i u)) n0_i)))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))) |
(*.f32 (neg.f32 n0_i) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u)) (-.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n1_i u)) n0_i)))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))) |
(*.f32 (neg.f32 n0_i) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u)) (-.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n1_i u)) n0_i)))) |
(+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(fma.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(fma.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(fma.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u)) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (* -1/6 (/ (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 n1_i (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (* -1/6 (/ (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
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(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (* -1/6 (/ (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 n1_i (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))) |
(*.f32 (neg.f32 n1_i) (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (neg.f32 u))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
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(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(*.f32 (neg.f32 n1_i) (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (-.f32 (neg.f32 u) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) n1_i)))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(*.f32 (neg.f32 n1_i) (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) (-.f32 (neg.f32 u) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) n1_i)))) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u)) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (* n1_i u))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/6 (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u)) (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n1_i u)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle normAngle))) (/.f32 (*.f32 u (*.f32 u u)) (sin.f32 normAngle)))) |
(* (pow normAngle 3) (+ (* -1/6 (/ (* n1_i (pow u 3)) (sin normAngle))) (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle))))) |
(*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 n1_i (/.f32 u (*.f32 (sin.f32 normAngle) (*.f32 normAngle normAngle))) (*.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle))))) |
(* (pow normAngle 3) (+ (* -1/6 (/ (* n1_i (pow u 3)) (sin normAngle))) (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle))))) |
(*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 n1_i (/.f32 u (*.f32 (sin.f32 normAngle) (*.f32 normAngle normAngle))) (*.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle))))) |
(* (pow normAngle 3) (+ (* -1/6 (/ (* n1_i (pow u 3)) (sin normAngle))) (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle))))) |
(*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 n1_i (/.f32 u (*.f32 (sin.f32 normAngle) (*.f32 normAngle normAngle))) (*.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle))))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle normAngle))) (/.f32 (*.f32 u (*.f32 u u)) (sin.f32 normAngle)))) |
(* -1 (* (pow normAngle 3) (+ (* -1 (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow u 3)) (sin normAngle)))))) |
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(* -1 (* (pow normAngle 3) (+ (* -1 (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow u 3)) (sin normAngle)))))) |
(*.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (sin.f32 normAngle)) (/.f32 (*.f32 u (neg.f32 n1_i)) (*.f32 (sin.f32 normAngle) (*.f32 normAngle normAngle)))) (neg.f32 (*.f32 normAngle (*.f32 normAngle normAngle)))) |
(* -1 (* (pow normAngle 3) (+ (* -1 (/ (* n1_i u) (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow u 3)) (sin normAngle)))))) |
(*.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (sin.f32 normAngle)) (/.f32 (*.f32 u (neg.f32 n1_i)) (*.f32 (sin.f32 normAngle) (*.f32 normAngle normAngle)))) (neg.f32 (*.f32 normAngle (*.f32 normAngle normAngle)))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(*.f32 n1_i (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
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(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u)) (sin.f32 normAngle)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u)) (sin.f32 normAngle)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle normAngle))) (/.f32 (*.f32 u (*.f32 u u)) (sin.f32 normAngle)))) |
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 normAngle (/.f32 n1_i (*.f32 (sin.f32 normAngle) (*.f32 u u))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle normAngle)))) (sin.f32 normAngle)))) |
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 normAngle (/.f32 n1_i (*.f32 (sin.f32 normAngle) (*.f32 u u))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle normAngle)))) (sin.f32 normAngle)))) |
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 normAngle (/.f32 n1_i (*.f32 (sin.f32 normAngle) (*.f32 u u))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle normAngle)))) (sin.f32 normAngle)))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 3))) (sin normAngle))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle normAngle))) (/.f32 (*.f32 u (*.f32 u u)) (sin.f32 normAngle)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle)))))) |
(*.f32 (fma.f32 n1_i (neg.f32 (/.f32 normAngle (*.f32 (sin.f32 normAngle) (*.f32 u u)))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle normAngle)))) (sin.f32 normAngle))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle)))))) |
(*.f32 (fma.f32 n1_i (neg.f32 (/.f32 normAngle (*.f32 (sin.f32 normAngle) (*.f32 u u)))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle normAngle)))) (sin.f32 normAngle))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i normAngle) (* (pow u 2) (sin normAngle)))) (* 1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle)))))) |
(*.f32 (fma.f32 n1_i (neg.f32 (/.f32 normAngle (*.f32 (sin.f32 normAngle) (*.f32 u u)))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle normAngle)))) (sin.f32 normAngle))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(*.f32 (*.f32 normAngle n1_i) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (*.f32 u u)) u) (sin.f32 normAngle))) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(*.f32 (*.f32 normAngle n1_i) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (*.f32 u u)) u) (sin.f32 normAngle))) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(*.f32 (*.f32 normAngle n1_i) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (*.f32 u u)) u) (sin.f32 normAngle))) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(*.f32 (*.f32 normAngle n1_i) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (*.f32 u u)) u) (sin.f32 normAngle))) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(*.f32 (*.f32 normAngle n1_i) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (*.f32 u u)) u) (sin.f32 normAngle))) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(*.f32 (*.f32 normAngle n1_i) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (*.f32 u u)) u) (sin.f32 normAngle))) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(*.f32 (*.f32 normAngle n1_i) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (*.f32 u u)) u) (sin.f32 normAngle))) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(*.f32 (*.f32 normAngle n1_i) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (*.f32 u u)) u) (sin.f32 normAngle))) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(*.f32 (*.f32 normAngle n1_i) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (*.f32 u u)) u) (sin.f32 normAngle))) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(*.f32 (*.f32 normAngle n1_i) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (*.f32 u u)) u) (sin.f32 normAngle))) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(*.f32 (*.f32 normAngle n1_i) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (*.f32 u u)) u) (sin.f32 normAngle))) |
(/ (* n1_i (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))) (sin normAngle)) |
(*.f32 (*.f32 normAngle n1_i) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (*.f32 u u)) u) (sin.f32 normAngle))) |
(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(*.f32 normAngle (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (*.f32 u u)) u)) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(*.f32 normAngle (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (*.f32 u u)) u)) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(*.f32 normAngle (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (*.f32 u u)) u)) |
(* -1/6 (* (pow normAngle 3) (pow u 3))) |
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(* (pow normAngle 3) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u)) (/.f32 u (*.f32 normAngle normAngle)))) |
(* (pow normAngle 3) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u)) (/.f32 u (*.f32 normAngle normAngle)))) |
(* (pow normAngle 3) (+ (* -1/6 (pow u 3)) (/ u (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u)) (/.f32 u (*.f32 normAngle normAngle)))) |
(* -1/6 (* (pow normAngle 3) (pow u 3))) |
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(* -1 (* (pow normAngle 3) (+ (* -1 (/ u (pow normAngle 2))) (* 1/6 (pow u 3))))) |
(*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 u (*.f32 u u)) (neg.f32 (/.f32 u (*.f32 normAngle normAngle)))) (neg.f32 (*.f32 normAngle (*.f32 normAngle normAngle)))) |
(* -1 (* (pow normAngle 3) (+ (* -1 (/ u (pow normAngle 2))) (* 1/6 (pow u 3))))) |
(*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 u (*.f32 u u)) (neg.f32 (/.f32 u (*.f32 normAngle normAngle)))) (neg.f32 (*.f32 normAngle (*.f32 normAngle normAngle)))) |
(* -1 (* (pow normAngle 3) (+ (* -1 (/ u (pow normAngle 2))) (* 1/6 (pow u 3))))) |
(*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 u (*.f32 u u)) (neg.f32 (/.f32 u (*.f32 normAngle normAngle)))) (neg.f32 (*.f32 normAngle (*.f32 normAngle normAngle)))) |
(* normAngle u) |
(*.f32 normAngle u) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(*.f32 u (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u) normAngle)) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(*.f32 u (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u) normAngle)) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
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(* -1/6 (* (pow normAngle 3) (pow u 3))) |
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(* (pow u 3) (+ (* -1/6 (pow normAngle 3)) (/ normAngle (pow u 2)))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)) (/.f32 normAngle (*.f32 u u)))) |
(* (pow u 3) (+ (* -1/6 (pow normAngle 3)) (/ normAngle (pow u 2)))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)) (/.f32 normAngle (*.f32 u u)))) |
(* (pow u 3) (+ (* -1/6 (pow normAngle 3)) (/ normAngle (pow u 2)))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)) (/.f32 normAngle (*.f32 u u)))) |
(* -1/6 (* (pow normAngle 3) (pow u 3))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u (*.f32 u u))) |
(* -1 (* (pow u 3) (+ (* -1 (/ normAngle (pow u 2))) (* 1/6 (pow normAngle 3))))) |
(*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)) (/.f32 (neg.f32 normAngle) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ normAngle (pow u 2))) (* 1/6 (pow normAngle 3))))) |
(*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)) (/.f32 (neg.f32 normAngle) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ normAngle (pow u 2))) (* 1/6 (pow normAngle 3))))) |
(*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)) (/.f32 (neg.f32 normAngle) (*.f32 u u))) (neg.f32 (*.f32 u (*.f32 u u)))) |
u |
(* u (+ 1 (* -1/6 (* (pow normAngle 2) (pow u 2))))) |
(*.f32 u (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u u) #s(literal 1 binary32))) |
(* u (+ 1 (* -1/6 (* (pow normAngle 2) (pow u 2))))) |
(*.f32 u (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u u) #s(literal 1 binary32))) |
(* u (+ 1 (* -1/6 (* (pow normAngle 2) (pow u 2))))) |
(*.f32 u (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u u) #s(literal 1 binary32))) |
(* -1/6 (* (pow normAngle 2) (pow u 3))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (*.f32 u u))) |
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(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)))) |
(* n1_i (+ (* -1/6 (* u (- (pow u 2) 1))) (* -1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))) |
(*.f32 n1_i (*.f32 #s(literal -1/6 binary32) (fma.f32 u (fma.f32 u u #s(literal -1 binary32)) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))))) |
(* n1_i (+ (* -1/6 (* u (- (pow u 2) 1))) (* -1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))) |
(*.f32 n1_i (*.f32 #s(literal -1/6 binary32) (fma.f32 u (fma.f32 u u #s(literal -1 binary32)) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))))) |
(* n1_i (+ (* -1/6 (* u (- (pow u 2) 1))) (* -1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))) |
(*.f32 n1_i (*.f32 #s(literal -1/6 binary32) (fma.f32 u (fma.f32 u u #s(literal -1 binary32)) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)))) |
(* -1 (* n1_i (+ (* 1/6 (* u (- (pow u 2) 1))) (* 1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))) |
(*.f32 (neg.f32 n1_i) (*.f32 #s(literal 1/6 binary32) (fma.f32 u (fma.f32 u u #s(literal -1 binary32)) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))))) |
(* -1 (* n1_i (+ (* 1/6 (* u (- (pow u 2) 1))) (* 1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))) |
(*.f32 (neg.f32 n1_i) (*.f32 #s(literal 1/6 binary32) (fma.f32 u (fma.f32 u u #s(literal -1 binary32)) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))))) |
(* -1 (* n1_i (+ (* 1/6 (* u (- (pow u 2) 1))) (* 1/6 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i))))) |
(*.f32 (neg.f32 n1_i) (*.f32 #s(literal 1/6 binary32) (fma.f32 u (fma.f32 u u #s(literal -1 binary32)) (*.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))))) |
(* -1/6 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(* -1/6 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(* -1/6 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(* -1/6 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(* -1/6 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(* -1/6 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(* -1/6 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(* -1/6 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(* -1/6 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(* -1/6 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(* -1/6 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(* -1/6 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(/ 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 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n1_i) 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) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 binary32))) (*.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)) |
Compiled 56 769 to 3 818 computations (93.3% saved)
45 alts after pruning (40 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 414 | 16 | 1 430 |
| Fresh | 11 | 24 | 35 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 428 | 45 | 1 473 |
| Status | Accuracy | Program |
|---|---|---|
| 98.8% | (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #s(literal 1/45 binary32)) #s(literal -1/3 binary32) (-.f32 (*.f32 n0_i #s(literal 1/105 binary32)) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 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)) u n0_i) | |
| 98.6% | (fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u n0_i) | |
| 98.3% | (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i) | |
| 98.6% | (fma.f32 (fma.f32 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) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_i) | |
| 98.9% | (fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -2/15 binary32) #s(literal -1/3 binary32)) #s(literal -1 binary32)))) u n0_i) | |
| 97.4% | (fma.f32 (fma.f32 normAngle (/.f32 n1_i normAngle) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_i) | |
| 97.3% | (fma.f32 (-.f32 n1_i n0_i) u n0_i) | |
| 42.0% | (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n1_i u)) | |
| 98.8% | (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) | |
| 98.0% | (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) | |
| 98.2% | (fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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))) | |
| 82.0% | (fma.f32 u (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) n0_i) | |
| 98.8% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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) | |
| 81.9% | (fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i) | |
| 98.9% | (fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) | |
| 98.8% | (fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) | |
| 97.5% | (fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i) | |
| 75.7% | (fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i) | |
| 75.6% | (fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i) | |
| ✓ | 75.9% | (fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) |
| 57.8% | (fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i) | |
| 98.4% | (fma.f32 u n1_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))))) | |
| ✓ | 81.0% | (fma.f32 u n1_i n0_i) |
| 41.6% | (fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u)) | |
| ✓ | 41.7% | (fma.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u)) |
| 82.0% | (fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i)) | |
| 80.9% | (fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i) | |
| 96.9% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) | |
| 33.3% | (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) | |
| 47.5% | (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) | |
| 48.1% | (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)) | |
| 97.4% | (+.f32 (fma.f32 n0_i (*.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.3% | (+.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 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.2% | (+.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 #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)) | |
| 96.4% | (+.f32 (*.f32 (*.f32 (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i)) | |
| 97.1% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i)) | |
| 80.9% | (+.f32 (*.f32 n1_i u) n0_i) | |
| 78.0% | (*.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))) | |
| 40.3% | (*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.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)) | |
| 41.6% | (*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i)) | |
| 80.8% | (*.f32 u (+.f32 n1_i (/.f32 n0_i u))) | |
| 41.7% | (*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u)) | |
| ✓ | 41.1% | (*.f32 n1_i u) |
| 57.7% | (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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))) | |
| ✓ | 45.5% | n0_i |
Compiled 2 969 to 1 027 computations (65.4% saved)
| Inputs |
|---|
n0_i |
(*.f32 n1_i u) |
(fma.f32 u n1_i n0_i) |
(+.f32 n0_i (*.f32 u n1_i)) |
(+.f32 (*.f32 n1_i u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(*.f32 u (+.f32 n1_i (/.f32 n0_i u))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i)) |
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(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 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))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_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)) |
| Outputs |
|---|
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
5 calls:
| 45.0ms | normAngle |
| 42.0ms | u |
| 25.0ms | (+.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)) |
| 22.0ms | n0_i |
| 22.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | normAngle |
| 99.1% | 1 | u |
| 99.1% | 1 | n0_i |
| 99.1% | 1 | n1_i |
| 99.1% | 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)) |
Compiled 49 to 33 computations (32.7% saved)
| Inputs |
|---|
n0_i |
(*.f32 n1_i u) |
(fma.f32 u n1_i n0_i) |
(+.f32 n0_i (*.f32 u n1_i)) |
(+.f32 (*.f32 n1_i u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(*.f32 u (+.f32 n1_i (/.f32 n0_i u))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i)) |
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i) |
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u)) |
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u)) |
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u)) |
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u)) |
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i) |
(fma.f32 u (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) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) |
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i)) |
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i) |
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i #s(literal 1/3 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 (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (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) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u n1_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))))) |
(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))) |
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.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)) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u))))) |
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n1_i u)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(+.f32 (*.f32 (*.f32 (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i)) |
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #s(literal 1/45 binary32)) #s(literal -1/3 binary32) (-.f32 (*.f32 n0_i #s(literal 1/105 binary32)) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 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)) u n0_i) |
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) |
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) |
(fma.f32 u (fma.f32 n0_i #s(literal -1 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle 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 (*.f32 normAngle normAngle) (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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/360 binary32) (*.f32 n0_i #s(literal -1/5040 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))))) (neg.f32 (+.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)))) (*.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) |
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.f32 n1_i (sin.f32 normAngle))) |
(fma.f32 (fma.f32 normAngle (/.f32 n1_i normAngle) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_i) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) |
(fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -2/15 binary32) #s(literal -1/3 binary32)) #s(literal -1 binary32)))) u n0_i) |
(fma.f32 u n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))) |
| Outputs |
|---|
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
5 calls:
| 148.0ms | n1_i |
| 63.0ms | (+.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)) |
| 44.0ms | u |
| 44.0ms | normAngle |
| 16.0ms | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 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)) |
| 98.9% | 1 | normAngle |
Compiled 49 to 33 computations (32.7% saved)
| Inputs |
|---|
n0_i |
(*.f32 n1_i u) |
(fma.f32 u n1_i n0_i) |
(+.f32 n0_i (*.f32 u n1_i)) |
(+.f32 (*.f32 n1_i u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(*.f32 u (+.f32 n1_i (/.f32 n0_i u))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i)) |
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i) |
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u)) |
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u)) |
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u)) |
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u)) |
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i) |
(fma.f32 u (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) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) |
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i)) |
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i) |
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i #s(literal 1/3 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 (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (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) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u n1_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))))) |
(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))) |
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.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)) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u))))) |
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n1_i u)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(+.f32 (*.f32 (*.f32 (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (*.f32 u n1_i)) |
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #s(literal 1/45 binary32)) #s(literal -1/3 binary32) (-.f32 (*.f32 n0_i #s(literal 1/105 binary32)) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 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)) u n0_i) |
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) |
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) |
(fma.f32 u (fma.f32 n0_i #s(literal -1 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (fma.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) |
| Outputs |
|---|
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
5 calls:
| 54.0ms | (+.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)) |
| 33.0ms | n0_i |
| 29.0ms | n1_i |
| 19.0ms | normAngle |
| 14.0ms | u |
| 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 n1_i u) |
(fma.f32 u n1_i n0_i) |
(+.f32 n0_i (*.f32 u n1_i)) |
(+.f32 (*.f32 n1_i u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(*.f32 u (+.f32 n1_i (/.f32 n0_i u))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i)) |
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i) |
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u)) |
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u)) |
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u)) |
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u)) |
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i) |
(fma.f32 u (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) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) |
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i)) |
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i) |
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i #s(literal 1/3 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 (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (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) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u n1_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))))) |
(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))) |
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.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)) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u))))) |
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n1_i u)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
| Outputs |
|---|
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
5 calls:
| 37.0ms | normAngle |
| 35.0ms | n0_i |
| 21.0ms | n1_i |
| 13.0ms | (+.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)) |
| 12.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | normAngle |
| 98.8% | 1 | u |
| 98.8% | 1 | n0_i |
| 98.8% | 1 | n1_i |
| 98.8% | 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 n1_i u) |
(fma.f32 u n1_i n0_i) |
(+.f32 n0_i (*.f32 u n1_i)) |
(+.f32 (*.f32 n1_i u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(*.f32 u (+.f32 n1_i (/.f32 n0_i u))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i)) |
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i) |
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u)) |
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u)) |
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u)) |
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u)) |
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i) |
(fma.f32 u (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) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) |
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i)) |
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i) |
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i #s(literal 1/3 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 (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (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) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u n1_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))))) |
(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))) |
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.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)) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u))))) |
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))) (neg.f32 (*.f32 normAngle normAngle)) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n1_i u)) |
| Outputs |
|---|
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
5 calls:
| 44.0ms | normAngle |
| 34.0ms | n0_i |
| 12.0ms | 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)) |
| 12.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 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)) |
| 98.8% | 1 | normAngle |
| 98.8% | 1 | u |
| 98.8% | 1 | n0_i |
| 98.8% | 1 | n1_i |
Compiled 49 to 33 computations (32.7% saved)
| Inputs |
|---|
n0_i |
(*.f32 n1_i u) |
(fma.f32 u n1_i n0_i) |
(+.f32 n0_i (*.f32 u n1_i)) |
(+.f32 (*.f32 n1_i u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(*.f32 u (+.f32 n1_i (/.f32 n0_i u))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i)) |
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i) |
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u)) |
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u)) |
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u)) |
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u)) |
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i) |
(fma.f32 u (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) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) |
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i)) |
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i) |
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i #s(literal 1/3 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 (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (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) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u n1_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))))) |
(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))) |
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.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)) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u))))) |
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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) |
| Outputs |
|---|
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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) |
5 calls:
| 31.0ms | (+.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)) |
| 23.0ms | n0_i |
| 19.0ms | u |
| 11.0ms | n1_i |
| 11.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 1 | normAngle |
| 98.8% | 1 | u |
| 98.8% | 1 | n0_i |
| 98.8% | 1 | n1_i |
| 98.8% | 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 n1_i u) |
(fma.f32 u n1_i n0_i) |
(+.f32 n0_i (*.f32 u n1_i)) |
(+.f32 (*.f32 n1_i u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(*.f32 u (+.f32 n1_i (/.f32 n0_i u))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i)) |
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i) |
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u)) |
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u)) |
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u)) |
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u)) |
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i) |
(fma.f32 u (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) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) |
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i)) |
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i) |
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i #s(literal 1/3 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 (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (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) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u n1_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))))) |
(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))) |
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.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)) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u))))) |
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)) |
| Outputs |
|---|
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)) |
5 calls:
| 25.0ms | (+.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)) |
| 25.0ms | n0_i |
| 11.0ms | n1_i |
| 11.0ms | u |
| 11.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | normAngle |
| 98.7% | 1 | n0_i |
| 98.7% | 1 | n1_i |
| 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 | u |
Compiled 49 to 33 computations (32.7% saved)
| Inputs |
|---|
n0_i |
(*.f32 n1_i u) |
(fma.f32 u n1_i n0_i) |
(+.f32 n0_i (*.f32 u n1_i)) |
(+.f32 (*.f32 n1_i u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(*.f32 u (+.f32 n1_i (/.f32 n0_i u))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i)) |
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i) |
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u)) |
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u)) |
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u)) |
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u)) |
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i) |
(fma.f32 u (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) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) |
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i)) |
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i) |
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i #s(literal 1/3 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 (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (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) (neg.f32 (+.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)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u n1_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))))) |
(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))) |
(*.f32 (*.f32 normAngle (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) (/.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)) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (/.f32 n1_i (*.f32 u u))))) |
| Outputs |
|---|
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
5 calls:
| 41.0ms | normAngle |
| 30.0ms | n1_i |
| 11.0ms | (+.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 | n0_i |
| 10.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | normAngle |
| 98.6% | 1 | u |
| 98.6% | 1 | n0_i |
| 98.6% | 1 | n1_i |
| 98.6% | 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 n1_i u) |
(fma.f32 u n1_i n0_i) |
(+.f32 n0_i (*.f32 u n1_i)) |
(+.f32 (*.f32 n1_i u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(*.f32 u (+.f32 n1_i (/.f32 n0_i u))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i)) |
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i) |
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u)) |
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u)) |
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u)) |
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u)) |
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i) |
(fma.f32 u (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) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) |
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i)) |
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) n0_i) |
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i #s(literal 1/3 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 (/.f32 (*.f32 n1_i normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -2 binary32) (*.f32 n0_i u)) (*.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))) |
| Outputs |
|---|
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u n0_i) |
5 calls:
| 39.0ms | n1_i |
| 18.0ms | u |
| 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)) |
| 9.0ms | n0_i |
| 9.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | normAngle |
| 98.6% | 1 | u |
| 98.6% | 1 | n0_i |
| 98.6% | 1 | n1_i |
| 98.6% | 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 n1_i u) |
(fma.f32 u n1_i n0_i) |
(+.f32 n0_i (*.f32 u n1_i)) |
(+.f32 (*.f32 n1_i u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(*.f32 u (+.f32 n1_i (/.f32 n0_i u))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i)) |
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i) |
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u)) |
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u)) |
(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 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u)) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) u)) |
(fma.f32 normAngle (*.f32 normAngle (*.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 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) normAngle) (*.f32 n1_i u)) |
(fma.f32 u (*.f32 n0_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i) |
(fma.f32 u (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) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (fma.f32 u (*.f32 u u) (neg.f32 u))))) (*.f32 n1_i u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #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))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 n0_i #s(literal -2 binary32)) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) |
(fma.f32 n1_i u (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) normAngle) normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32))))) n0_i)) |
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) 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:
| 28.0ms | n1_i |
| 26.0ms | normAngle |
| 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)) |
| 8.0ms | n0_i |
| 8.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | normAngle |
| 98.3% | 1 | u |
| 98.3% | 1 | n0_i |
| 98.3% | 1 | n1_i |
| 98.3% | 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 n1_i u) |
(fma.f32 u n1_i n0_i) |
(+.f32 n0_i (*.f32 u n1_i)) |
(+.f32 (*.f32 n1_i u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(*.f32 u (+.f32 n1_i (/.f32 n0_i u))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i)) |
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i) |
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 n1_i (*.f32 u #s(literal 1/6 binary32)))) (*.f32 n1_i u)) |
(fma.f32 normAngle (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) normAngle) (*.f32 n1_i u)) |
| Outputs |
|---|
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i) |
5 calls:
| 23.0ms | n1_i |
| 5.0ms | (+.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)) |
| 5.0ms | u |
| 5.0ms | n0_i |
| 5.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | normAngle |
| 97.5% | 1 | u |
| 97.5% | 1 | n0_i |
| 97.5% | 1 | n1_i |
| 97.5% | 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 n1_i u) |
(fma.f32 u n1_i n0_i) |
(+.f32 n0_i (*.f32 u n1_i)) |
(+.f32 (*.f32 n1_i u) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(*.f32 u (+.f32 n1_i (/.f32 n0_i u))) |
(*.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i)) |
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i) |
(fma.f32 u (fma.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) n1_i) n0_i) |
| Outputs |
|---|
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
5 calls:
| 32.0ms | n0_i |
| 4.0ms | (+.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)) |
| 4.0ms | n1_i |
| 4.0ms | u |
| 4.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 1 | normAngle |
| 97.3% | 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)) |
| 97.3% | 1 | u |
| 97.3% | 1 | n0_i |
| 97.3% | 1 | n1_i |
Compiled 49 to 33 computations (32.7% saved)
| Inputs |
|---|
n0_i |
(*.f32 n1_i u) |
(fma.f32 u n1_i n0_i) |
(+.f32 n0_i (*.f32 u n1_i)) |
(+.f32 (*.f32 n1_i u) n0_i) |
| Outputs |
|---|
(fma.f32 u n1_i n0_i) |
5 calls:
| 12.0ms | n1_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)) |
| 2.0ms | n0_i |
| 2.0ms | normAngle |
| 2.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.0% | 1 | normAngle |
| 81.0% | 1 | u |
| 81.0% | 1 | n0_i |
| 81.0% | 1 | n1_i |
| 81.0% | 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)) |
Compiled 49 to 33 computations (32.7% saved)
| Inputs |
|---|
n0_i |
(*.f32 n1_i u) |
| Outputs |
|---|
n0_i |
(*.f32 n1_i u) |
n0_i |
5 calls:
| 23.0ms | n0_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 | n1_i |
| 2.0ms | u |
| 1.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.1% | 2 | u |
| 64.1% | 3 | n0_i |
| 49.1% | 2 | (+.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)) |
| 45.5% | 1 | normAngle |
| 58.4% | 3 | n1_i |
Compiled 49 to 33 computations (32.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
n0_i |
| Outputs |
|---|
n0_i |
4 calls:
| 1.0ms | (+.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)) |
| 1.0ms | u |
| 1.0ms | n0_i |
| 1.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.5% | 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)) |
| 45.5% | 1 | u |
| 45.5% | 1 | n1_i |
| 45.5% | 1 | n0_i |
Compiled 44 to 29 computations (34.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.3645676490066564e-23 | 8.435778122200792e-23 |
| 0.0ms | -3.4054326487231073e-15 | -3.2697265356281804e-15 |
Compiled 32 to 24 computations (25% saved)
| 1× | egg-herbie |
| 146× | unsub-neg_binary32 |
| 94× | neg-mul-1_binary32 |
| 76× | *-commutative_binary32 |
| 56× | distribute-neg-out_binary32 |
| 38× | neg-sub0_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 355 |
| 1 | 144 | 355 |
| 2 | 178 | 355 |
| 3 | 218 | 354 |
| 4 | 253 | 354 |
| 5 | 276 | 354 |
| 6 | 288 | 354 |
| 7 | 360 | 354 |
| 8 | 438 | 354 |
| 1× | saturated |
| Inputs |
|---|
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle 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 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 u n1_i n0_i) |
(if (<=.f32 n0_i #s(literal -8028023/2361183241434822606848 binary32)) n0_i (if (<=.f32 n0_i #s(literal 15845633/316912650057057350374175801344 binary32)) (*.f32 n1_i u) n0_i)) |
n0_i |
| Outputs |
|---|
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle 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 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))) #s(literal -1/6 binary32))) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) u) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (neg.f32 (*.f32 u (*.f32 normAngle normAngle))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (*.f32 u n1_i) #s(literal 7/360 binary32))) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle) normAngle) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (fma.f32 normAngle (*.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)))) normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 (neg.f32 normAngle) normAngle) (*.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 n0_i (*.f32 u #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 normAngle (neg.f32 normAngle)) (*.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 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.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 1/120 binary32) (*.f32 n0_i #s(literal 1/18 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)) |
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (-.f32 (-.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 n1_i #s(literal -7/360 binary32))))) n0_i)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u n1_i) #s(literal 7/360 binary32)) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (*.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(fma.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 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.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 n0_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)) n1_i) n0_i) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 u n1_i n0_i) |
(if (<=.f32 n0_i #s(literal -8028023/2361183241434822606848 binary32)) n0_i (if (<=.f32 n0_i #s(literal 15845633/316912650057057350374175801344 binary32)) (*.f32 n1_i u) n0_i)) |
(if (<=.f32 n0_i #s(literal -8028023/2361183241434822606848 binary32)) n0_i (if (<=.f32 n0_i #s(literal 15845633/316912650057057350374175801344 binary32)) (*.f32 u n1_i) n0_i)) |
n0_i |
| 14 016× | accelerator-lowering-fma.f32 |
| 14 016× | accelerator-lowering-fma.f64 |
| 12 930× | accelerator-lowering-fma.f32 |
| 12 930× | accelerator-lowering-fma.f64 |
| 12 022× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 803 | 10688 |
| 1 | 2678 | 10390 |
| 0 | 8345 | 9740 |
| 0 | 42 | 212 |
| 1 | 231 | 212 |
| 2 | 1995 | 208 |
| 0 | 8881 | 197 |
| 0 | 803 | 8652 |
| 1 | 2614 | 8188 |
| 0 | 8328 | 7814 |
| 0 | 761 | 9911 |
| 1 | 2721 | 9445 |
| 2 | 7755 | 9424 |
| 0 | 8593 | 9016 |
| 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 |
Compiled 593 to 284 computations (52.1% saved)
(abs normAngle)
Compiled 1 254 to 510 computations (59.3% saved)
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