
Time bar (total: 18.3s)
| 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 |
| 562.0ms | 2 082× | 0 | invalid |
ival-sin: 521.0ms (25.6% of total)ival-<=: 489.0ms (24% of total)ival-mult: 398.0ms (19.5% of total)const: 198.0ms (9.7% of total)ival-div: 163.0ms (8% of total)ival-add: 84.0ms (4.1% of total)ival-sub: 61.0ms (3% of total)ival-and: 53.0ms (2.6% of total)ival-pi: 45.0ms (2.2% of total)exact: 22.0ms (1.1% of total)ival-assert: 4.0ms (0.2% of total)| 2× | egg-herbie |
| 1 400× | unsub-neg |
| 1 012× | times-frac |
| 832× | accelerator-lowering-fma.f32 |
| 832× | accelerator-lowering-fma.f64 |
| 736× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 389 |
| 1 | 281 | 319 |
| 2 | 743 | 302 |
| 3 | 1992 | 271 |
| 4 | 3435 | 270 |
| 5 | 6426 | 270 |
| 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 (fma.f32 u normAngle #s(literal 0 binary32))) n1_i (fma.f32 (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle #s(literal 0 binary32))) n0_i #s(literal 0 binary32))) (sin.f32 normAngle)) |
| Inputs |
|---|
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(+ (* (* (sin (* (- 1 u) (neg normAngle))) (/ 1 (sin (neg normAngle)))) n0_i) (* (* (sin (* u (neg normAngle))) (/ 1 (sin (neg normAngle)))) n1_i)) |
(+ (* (* (sin (* (- 1 (neg u)) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* (neg u) normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (neg n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (neg n1_i))) |
(neg (+ (* (* (sin (* (- 1 u) (neg normAngle))) (/ 1 (sin (neg normAngle)))) n0_i) (* (* (sin (* u (neg normAngle))) (/ 1 (sin (neg normAngle)))) n1_i))) |
(neg (+ (* (* (sin (* (- 1 (neg u)) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* (neg u) normAngle)) (/ 1 (sin normAngle))) n1_i))) |
(neg (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (neg n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))) |
(neg (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (neg n1_i)))) |
(+ (* (* (sin (* (- 1 normAngle) u)) (/ 1 (sin u))) n0_i) (* (* (sin (* normAngle u)) (/ 1 (sin u))) n1_i)) |
(+ (* (* (sin (* (- 1 u) n0_i)) (/ 1 (sin n0_i))) normAngle) (* (* (sin (* u n0_i)) (/ 1 (sin n0_i))) n1_i)) |
(+ (* (* (sin (* (- 1 u) n1_i)) (/ 1 (sin n1_i))) n0_i) (* (* (sin (* u n1_i)) (/ 1 (sin n1_i))) normAngle)) |
(+ (* (* (sin (* (- 1 n0_i) normAngle)) (/ 1 (sin normAngle))) u) (* (* (sin (* n0_i normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(+ (* (* (sin (* (- 1 n1_i) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* n1_i normAngle)) (/ 1 (sin normAngle))) u)) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n1_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n0_i)) |
| Outputs |
|---|
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(/ (+ (* (sin (* u normAngle)) n1_i) (* (sin (- normAngle (* u normAngle))) n0_i)) (sin normAngle)) |
(+ (* (* (sin (* (- 1 u) (neg normAngle))) (/ 1 (sin (neg normAngle)))) n0_i) (* (* (sin (* u (neg normAngle))) (/ 1 (sin (neg normAngle)))) n1_i)) |
(/ (+ (* (sin (* u normAngle)) n1_i) (* (sin (- normAngle (* u normAngle))) n0_i)) (sin normAngle)) |
(+ (* (* (sin (* (- 1 (neg u)) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* (neg u) normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(/ (- (* n0_i (sin (+ normAngle (* u normAngle)))) (* (sin (* u normAngle)) n1_i)) (sin normAngle)) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (neg n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(/ (+ (* (sin (* u normAngle)) n1_i) (* n0_i (sin (- (* u normAngle) normAngle)))) (sin normAngle)) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (neg n1_i))) |
(/ (- (* (sin (- normAngle (* u normAngle))) n0_i) (* (sin (* u normAngle)) n1_i)) (sin normAngle)) |
(neg (+ (* (* (sin (* (- 1 u) (neg normAngle))) (/ 1 (sin (neg normAngle)))) n0_i) (* (* (sin (* u (neg normAngle))) (/ 1 (sin (neg normAngle)))) n1_i))) |
(/ (- (* n0_i (sin (- (* u normAngle) normAngle))) (* (sin (* u normAngle)) n1_i)) (sin normAngle)) |
(neg (+ (* (* (sin (* (- 1 (neg u)) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* (neg u) normAngle)) (/ 1 (sin normAngle))) n1_i))) |
(/ (- (* (sin (* u normAngle)) n1_i) (* n0_i (sin (+ normAngle (* u normAngle))))) (sin normAngle)) |
(neg (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (neg n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))) |
(/ (- (* (sin (- normAngle (* u normAngle))) n0_i) (* (sin (* u normAngle)) n1_i)) (sin normAngle)) |
(neg (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (neg n1_i)))) |
(/ (+ (* (sin (* u normAngle)) n1_i) (* n0_i (sin (- (* u normAngle) normAngle)))) (sin normAngle)) |
(+ (* (* (sin (* (- 1 normAngle) u)) (/ 1 (sin u))) n0_i) (* (* (sin (* normAngle u)) (/ 1 (sin u))) n1_i)) |
(/ (+ (* n0_i (sin (- u (* u normAngle)))) (* (sin (* u normAngle)) n1_i)) (sin u)) |
(+ (* (* (sin (* (- 1 u) n0_i)) (/ 1 (sin n0_i))) normAngle) (* (* (sin (* u n0_i)) (/ 1 (sin n0_i))) n1_i)) |
(/ (+ (* n1_i (sin (* u n0_i))) (* normAngle (sin (- n0_i (* u n0_i))))) (sin n0_i)) |
(+ (* (* (sin (* (- 1 u) n1_i)) (/ 1 (sin n1_i))) n0_i) (* (* (sin (* u n1_i)) (/ 1 (sin n1_i))) normAngle)) |
(/ (+ (* normAngle (sin (* u n1_i))) (* n0_i (sin (- n1_i (* u n1_i))))) (sin n1_i)) |
(+ (* (* (sin (* (- 1 n0_i) normAngle)) (/ 1 (sin normAngle))) u) (* (* (sin (* n0_i normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(/ (+ (* u (sin (- normAngle (* normAngle n0_i)))) (* n1_i (sin (* normAngle n0_i)))) (sin normAngle)) |
(+ (* (* (sin (* (- 1 n1_i) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* n1_i normAngle)) (/ 1 (sin normAngle))) u)) |
(/ (+ (* u (sin (* normAngle n1_i))) (* n0_i (sin (* normAngle (- 1 n1_i))))) (sin normAngle)) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n1_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n0_i)) |
(/ (+ (* (sin (- normAngle (* u normAngle))) n1_i) (* n0_i (sin (* u normAngle)))) (sin normAngle)) |
(abs normAngle)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 17 | 0 | - | 15 | (1.4844936662556586e-37 2.2081151200836757e-6 -2.0904760127810063e-12 2.5681953722951665e-31) | (*.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 - | |
|---|---|---|
| + | 1 | 7 |
| - | 1 | 247 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 7 |
| - | 1 | 0 | 247 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 209.0ms | 492× | 0 | valid |
| 11.0ms | 20× | 5 | exit |
Compiled 264 to 72 computations (72.7% saved)
ival-sin: 110.0ms (55.7% of total)ival-mult: 49.0ms (24.8% of total)ival-add: 28.0ms (14.2% of total)ival-div: 4.0ms (2% of total)ival-sub: 3.0ms (1.5% of total)adjust: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.3% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 29 to 17 computations (41.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
| ✓ | 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 | 3648 | (+.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 (fma.f32 u normAngle #s(literal 0 binary32))) n1_i (fma.f32 (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle #s(literal 0 binary32))) n0_i #s(literal 0 binary32))) (sin.f32 normAngle)) |
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) |
(fma.f32 (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle #s(literal 0 binary32))) (/.f32 n0_i (sin.f32 normAngle)) #s(literal 0 binary32)) |
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) |
(/.f32 (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle #s(literal 0 binary32))) (sin.f32 normAngle)) |
(sin (* (- 1 u) normAngle)) |
(sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle #s(literal 0 binary32))) |
(* (- 1 u) normAngle) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle #s(literal 0 binary32)) |
(- 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) |
(fma.f32 (sin.f32 (fma.f32 u normAngle #s(literal 0 binary32))) (/.f32 n1_i (sin.f32 normAngle)) #s(literal 0 binary32)) |
(* (sin (* u normAngle)) (/ 1 (sin normAngle))) |
(/.f32 (sin.f32 (fma.f32 u normAngle #s(literal 0 binary32))) (sin.f32 normAngle)) |
(sin (* u normAngle)) |
(sin.f32 (fma.f32 u normAngle #s(literal 0 binary32))) |
(* u normAngle) |
(fma.f32 u normAngle #s(literal 0 binary32)) |
n1_i |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| ✓ | accuracy | 99.5% | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| ✓ | accuracy | 98.8% | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | accuracy | 96.0% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 32.0ms | 246× | 0 | valid |
| 6.0ms | 10× | 5 | exit |
Compiled 103 to 19 computations (81.6% saved)
ival-mult: 11.0ms (41% of total)ival-sin: 7.0ms (26.1% of total)ival-sub: 4.0ms (14.9% of total)ival-div: 2.0ms (7.4% of total)adjust: 1.0ms (3.7% of total)ival-add: 1.0ms (3.7% 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))> |
#<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 (sin normAngle)> |
#<alt (+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))> |
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))> |
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (+ 1 (* -1 u))))> |
#<alt (sin (* normAngle (+ 1 (* -1 u))))> |
#<alt (sin (* normAngle (+ 1 (* -1 u))))> |
#<alt (sin (* normAngle (+ 1 (* -1 u))))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))> |
#<alt (* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))> |
#<alt (* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt n0_i> |
#<alt (+ n0_i (* -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))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | n0_i | @ | 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 | normAngle | @ | 0 | (+ (* (* (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 | 59 |
| 1 | 71 | 59 |
| 2 | 457 | 58 |
| 3 | 4831 | 58 |
| 0 | 8474 | 57 |
| 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)) |
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) |
(* (- 1 u) normAngle) |
| Outputs |
|---|
(neg.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.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 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) (*.f32 normAngle (+.f32 #s(literal 1 binary32) u)))))) (-.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 (*.f32 u normAngle)) n1_i) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) (sin.f32 normAngle)))))) |
(neg.f32 (/.f32 (fma.f32 n0_i (*.f32 n0_i (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 normAngle (+.f32 #s(literal 1 binary32) u)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))) (*.f32 (neg.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))))))) (neg.f32 (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))) |
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(fma.f32 (sin.f32 normAngle) (cos.f32 (*.f32 u normAngle)) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 normAngle (neg.f32 u))))) |
(fma.f32 (sin.f32 (*.f32 normAngle (neg.f32 u))) (cos.f32 normAngle) (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 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)) |
(neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))) |
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))) |
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 1 binary32))) |
(pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i))) |
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32)) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i) (sin.f32 normAngle)) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i)) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle))) |
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i) #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i)) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle))) |
(/.f32 (*.f32 n0_i (neg.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))))) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle))) |
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i)) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle))) |
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u)))) n0_i) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle))) |
(/.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u)))) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle))) |
(/.f32 (exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i))) (sin.f32 normAngle)) |
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) |
(*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (exp.f32 (log.f32 (*.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))) (sin.f32 normAngle)) n0_i) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 n0_i #s(literal 1 binary32))) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) |
(*.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u)))) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i))) |
(*.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal -1 binary32)) |
(*.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (exp.f32 (log.f32 n0_i)) (exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))) |
(*.f32 (exp.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle)))) (exp.f32 (log.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u)))))) |
(*.f32 (exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (exp.f32 (log.f32 n0_i))) |
(*.f32 (exp.f32 (log.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))))) (exp.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle))))) |
(*.f32 (exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(+.f32 normAngle (*.f32 normAngle (neg.f32 u))) |
(+.f32 (*.f32 normAngle (neg.f32 u)) normAngle) |
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) u) (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 normAngle (neg.f32 u))) |
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (neg.f32 u))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(fma.f32 #s(literal -1 binary32) (*.f32 u normAngle) normAngle) |
(fma.f32 (neg.f32 u) normAngle normAngle) |
(fma.f32 (*.f32 normAngle #s(literal -1 binary32)) u normAngle) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u) (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32))))) |
(/.f32 normAngle (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(/.f32 (neg.f32 (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32)))) (+.f32 #s(literal -1 binary32) (neg.f32 u))) |
(/.f32 (neg.f32 (*.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32)))) (neg.f32 (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 (*.f32 normAngle normAngle) normAngle (*.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) normAngle))) (fma.f32 normAngle normAngle (-.f32 (*.f32 (*.f32 normAngle (neg.f32 u)) (*.f32 normAngle (neg.f32 u))) (*.f32 normAngle (*.f32 normAngle (neg.f32 u)))))) |
(/.f32 (-.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle (neg.f32 u)) (*.f32 normAngle (neg.f32 u)))) (-.f32 normAngle (*.f32 normAngle (neg.f32 u)))) |
(/.f32 (*.f32 normAngle (+.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) (neg.f32 (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) |
(/.f32 (*.f32 normAngle (+.f32 #s(literal -1 binary32) (*.f32 u u))) (+.f32 #s(literal -1 binary32) (neg.f32 u))) |
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) normAngle) (neg.f32 (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (+.f32 #s(literal -1 binary32) (neg.f32 u))) |
(*.f32 normAngle (+.f32 #s(literal 1 binary32) u)) |
(*.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) normAngle)) |
(*.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32)) (/.f32 normAngle (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) |
(*.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) normAngle)) |
(*.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) (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) |
(*.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))) (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(*.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 |
| 13 832× | accelerator-lowering-fma.f32 |
| 13 832× | accelerator-lowering-fma.f64 |
| 7 000× | +-lowering-+.f64 |
| 7 000× | +-lowering-+.f32 |
| 6 084× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 359 | 3068 |
| 1 | 1113 | 2964 |
| 2 | 3863 | 2904 |
| 0 | 8930 | 2781 |
| 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)) |
(sin normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle))))))))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(* normAngle (- 1 u)) |
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u)) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
n0_i |
(+ n0_i (* -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 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (-.f32 #s(literal 0 binary32) (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 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) (/.f32 (*.f32 normAngle 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 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) (fma.f32 (fma.f32 n0_i (*.f32 (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (sin.f32 normAngle))) #s(literal 1/6 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) n1_i) (sin.f32 normAngle))) (*.f32 u u) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) n0_i) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.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 n1_i #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) |
(+ (* 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 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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)))))) (*.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 normAngle (*.f32 normAngle (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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 n1_i (pow.f32 u #s(literal 7 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (fma.f32 #s(literal 1/6 binary32) (+.f32 (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 1/6 binary32) (*.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 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))))))) (neg.f32 (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) (*.f32 #s(literal -1/720 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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 (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.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 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle))) (/.f32 normAngle (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 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle 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 (cos.f32 normAngle) (*.f32 (*.f32 normAngle normAngle) (*.f32 u normAngle))) (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))) #s(literal 1 binary32)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (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 normAngle (*.f32 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) (fma.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 (*.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))) #s(literal -1/120 binary32) (neg.f32 (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 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (* normAngle u) (sin normAngle)) |
(*.f32 u (/.f32 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 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) 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 u (*.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 u u) (/.f32 (*.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 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (/.f32 (*.f32 u u) (sin.f32 normAngle)))) (/.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) 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 normAngle (*.f32 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)) |
(sin normAngle) |
(sin.f32 normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(fma.f32 u (*.f32 normAngle (-.f32 #s(literal 0 binary32) (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 u (*.f32 (sin.f32 normAngle) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) (*.f32 normAngle (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)))) (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 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u normAngle)) (*.f32 (cos.f32 normAngle) #s(literal 1/6 binary32)))) (*.f32 normAngle (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)))) (sin.f32 normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u)) |
(*.f32 normAngle (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) (-.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 u #s(literal 1/6 binary32) #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 u #s(literal 1/6 binary32) #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 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (*.f32 normAngle (*.f32 u (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)))) (/.f32 n0_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)))))) |
(fma.f32 u (*.f32 n0_i (fma.f32 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle 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 (cos.f32 normAngle) (*.f32 (*.f32 normAngle normAngle) (*.f32 u normAngle))) (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))) n0_i) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(* n0_i (- 1 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+ (* 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 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 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 1/6 binary32) (*.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 n0_i (-.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))) (* (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))) (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 1/6 binary32) (*.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)))))) (neg.f32 (fma.f32 n0_i (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32)) (*.f32 #s(literal 1/120 binary32) (*.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 (*.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 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 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 n0_i (-.f32 #s(literal 1 binary32) u))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* -1 (* normAngle u)) |
(-.f32 #s(literal 0 binary32) (*.f32 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)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle)) |
(* -1 (* normAngle u)) |
(-.f32 #s(literal 0 binary32) (*.f32 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)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle)) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
Compiled 15 983 to 1 138 computations (92.9% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 410 | 17 | 427 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 411 | 17 | 428 |
| Status | Accuracy | Program |
|---|---|---|
| 97.5% | (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) | |
| 93.3% | (fma.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))) n0_i) | |
| 92.5% | (fma.f32 u (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) n0_i) | |
| ▶ | 99.1% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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)))))) (*.f32 u n1_i))) |
| 98.7% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.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 n1_i #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) | |
| 97.4% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) | |
| 97.4% | (+.f32 (*.f32 (fma.f32 normAngle (*.f32 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)) | |
| 97.0% | (+.f32 (*.f32 (-.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)) | |
| 97.2% | (+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u))) (/.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)) | |
| ▶ | 98.3% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
| ▶ | 98.7% | (+.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 u (/.f32 normAngle (sin.f32 normAngle))) 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)) | |
| 79.1% | (+.f32 n0_i (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 62.6% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) | |
| 35.8% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) | |
| ▶ | 60.7% | (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
| ▶ | 46.7% | n0_i |
Compiled 952 to 534 computations (43.9% saved)
| 1× | egg-herbie |
Found 16 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) (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 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)) |
| ✓ | cost-diff | 160 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | cost-diff | 0 | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| ✓ | cost-diff | 64 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
| ✓ | cost-diff | 160 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) |
| ✓ | cost-diff | 0 | (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
| ✓ | cost-diff | 0 | (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
| ✓ | cost-diff | 0 | (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
| ✓ | cost-diff | 64 | (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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 | 96 | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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)))))) (*.f32 u n1_i))) |
| ✓ | cost-diff | 320 | (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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)))) |
| 18 964× | accelerator-lowering-fma.f32 |
| 18 964× | accelerator-lowering-fma.f64 |
| 4 064× | *-lowering-*.f32 |
| 4 064× | *-lowering-*.f64 |
| 3 418× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 802 |
| 1 | 184 | 782 |
| 2 | 621 | 760 |
| 3 | 2466 | 751 |
| 4 | 5085 | 738 |
| 0 | 8136 | 694 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))))) (* u n1_i))) |
n0_i |
(- 1 u) |
1 |
u |
(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))))) (* u n1_i)) |
(* normAngle normAngle) |
normAngle |
(+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120))))) |
-1/6 |
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1)))) |
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) |
(* (- 1 u) (- 1 u)) |
-1 |
(* n1_i (* u (+ (* u u) -1))) |
n1_i |
(* u (+ (* u u) -1)) |
(+ (* u u) -1) |
(* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))) |
(- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120))) |
(* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) |
1/120 |
(+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))) |
(pow (- 1 u) 5) |
5 |
(* n1_i (pow u 5)) |
(pow u 5) |
(+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)) |
1/36 |
(* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120) |
(+ (* n0_i (- 1 u)) (* u n1_i)) |
(* u n1_i) |
n0_i |
(* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle))) |
(sin (* normAngle (- 1 u))) |
(* normAngle (- 1 u)) |
normAngle |
(- 1 u) |
1 |
u |
(/ n0_i (sin normAngle)) |
n0_i |
(sin normAngle) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) 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 |
(* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i) |
(+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) |
(* normAngle normAngle) |
(* u (+ (* (* u u) -1/6) 1/6)) |
(+ (* (* u u) -1/6) 1/6) |
(* u u) |
-1/6 |
1/6 |
n1_i |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* u (/ normAngle (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 |
(* (* u (/ normAngle (sin normAngle))) n1_i) |
(* u (/ normAngle (sin normAngle))) |
(/ normAngle (sin normAngle)) |
n1_i |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))))) (* u n1_i))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i))) #s(literal -1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (fma.f32 u (-.f32 n0_i n1_i) (neg.f32 n0_i)))) #s(literal 0 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i))))) (fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i)) |
n0_i |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))))) (* u n1_i)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i))) #s(literal -1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (fma.f32 u (-.f32 n0_i n1_i) (neg.f32 n0_i)))) #s(literal 0 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i))))) (*.f32 u n1_i)) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120))))) |
(fma.f32 normAngle (*.f32 normAngle (fma.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i))) #s(literal -1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (fma.f32 u (-.f32 n0_i n1_i) (neg.f32 n0_i)))) #s(literal 0 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i))))) |
-1/6 |
#s(literal -1/6 binary32) |
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1)))) |
(fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i))) |
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u) |
(+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) |
(* (- 1 u) (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
-1 |
#s(literal -1 binary32) |
(* n1_i (* u (+ (* u u) -1))) |
(*.f32 u (*.f32 n1_i (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)) |
(* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))) |
(*.f32 normAngle (*.f32 normAngle (fma.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i))) #s(literal -1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (fma.f32 u (-.f32 n0_i n1_i) (neg.f32 n0_i)))) #s(literal 0 binary32))))) |
(- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120))) |
(fma.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i))) #s(literal -1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (fma.f32 u (-.f32 n0_i n1_i) (neg.f32 n0_i)))) #s(literal 0 binary32))) |
(* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) |
(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)))) #s(literal 0 binary32)) |
1/120 |
#s(literal 1/120 binary32) |
(+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))) |
(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)))) |
(pow (- 1 u) 5) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) |
5 |
#s(literal 5 binary32) |
(* n1_i (pow u 5)) |
(*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) |
(pow u 5) |
(pow.f32 u #s(literal 5 binary32)) |
(+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)) |
(fma.f32 n0_i (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)) u) #s(literal -1/36 binary32)) (fma.f32 u (*.f32 n1_i (fma.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 1/36 binary32) #s(literal 1/120 binary32))) (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/120 binary32))))) |
1/36 |
#s(literal 1/36 binary32) |
(* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120) |
(*.f32 #s(literal 1/120 binary32) (fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i)) |
(+ (* n0_i (- 1 u)) (* u n1_i)) |
(fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i) |
(* u n1_i) |
(*.f32 u n1_i) |
n0_i |
(* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
normAngle |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
n0_i |
(sin normAngle) |
(sin.f32 normAngle) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i)) |
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 u n1_i) (fma.f32 normAngle (*.f32 normAngle (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))) |
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(sin (* (- 1 u) normAngle)) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(* (- 1 u) normAngle) |
(*.f32 (-.f32 #s(literal 1 binary32) u) 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 |
(* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i) |
(*.f32 (*.f32 u n1_i) (fma.f32 normAngle (*.f32 normAngle (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))) |
(+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) |
(*.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
(* u (+ (* (* u u) -1/6) 1/6)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) |
(+ (* (* u u) -1/6) 1/6) |
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) |
(* u u) |
(*.f32 u u) |
-1/6 |
#s(literal -1/6 binary32) |
1/6 |
#s(literal 1/6 binary32) |
n1_i |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* u (/ normAngle (sin normAngle))) n1_i)) |
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (*.f32 u (*.f32 normAngle n1_i)) (sin.f32 normAngle))) |
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(sin (* (- 1 u) normAngle)) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(* (- 1 u) normAngle) |
(*.f32 (-.f32 #s(literal 1 binary32) u) 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 (/ normAngle (sin normAngle))) n1_i) |
(/.f32 (*.f32 u (*.f32 normAngle n1_i)) (sin.f32 normAngle)) |
(* u (/ normAngle (sin normAngle))) |
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) |
(/ normAngle (sin normAngle)) |
(/.f32 normAngle (sin.f32 normAngle)) |
n1_i |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)) |
| ✓ | accuracy | 99.6% | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| ✓ | accuracy | 99.5% | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| ✓ | accuracy | 98.7% | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | accuracy | 99.5% | (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) |
| ✓ | accuracy | 99.5% | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| ✓ | accuracy | 99.0% | (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) |
| ✓ | 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 normAngle (-.f32 #s(literal 1 binary32) u))) |
| ✓ | accuracy | 99.9% | (/.f32 n0_i (sin.f32 normAngle)) |
| ✓ | accuracy | 99.6% | (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
| ✓ | accuracy | 98.9% | (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
| ✓ | accuracy | 98.0% | (*.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) #s(literal 1/120 binary32)) |
| ✓ | accuracy | 97.2% | (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) |
| ✓ | accuracy | 78.4% | (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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)))) |
| ✓ | accuracy | 61.7% | (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) |
| 185.0ms | 246× | 0 | valid |
| 10.0ms | 6× | 3 | valid |
| 5.0ms | 3× | 4 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 810 to 65 computations (92% saved)
ival-mult: 67.0ms (44.7% of total)const: 43.0ms (28.7% of total)ival-add: 16.0ms (10.7% of total)ival-sin: 7.0ms (4.7% of total)ival-div: 6.0ms (4% of total)ival-pow: 5.0ms (3.3% of total)ival-sub: 3.0ms (2% of total)adjust: 2.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))))) (* u n1_i)))> |
#<alt (+ (* n0_i (- 1 u)) (* u n1_i))> |
#<alt (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))> |
#<alt (* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (* normAngle (- 1 u))> |
#<alt (- 1 u)> |
#<alt (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))> |
#<alt (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i))> |
#<alt (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)> |
#<alt (sin (* (- 1 u) normAngle))> |
#<alt (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* u (/ normAngle (sin normAngle))) n1_i))> |
#<alt (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1)> |
#<alt (pow (- 1 u) 5)> |
#<alt (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (* u (+ (* (* u u) -1/6) 1/6))> |
#<alt (+ (* (* u u) -1/6) 1/6)> |
#<alt (* (- 1 u) normAngle)> |
| Outputs |
|---|
#<alt (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))> |
#<alt (- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))> |
#<alt (- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))> |
#<alt (- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))> |
#<alt (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))> |
#<alt (* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))> |
#<alt (* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))> |
#<alt (* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))> |
#<alt (* -1 (* n0_i (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))> |
#<alt (* u (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))> |
#<alt (* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))> |
#<alt (* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* 1/24 (* n0_i u))) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))> |
#<alt (* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* u (+ (* 1/120 (* u (+ n1_i (* -1 n0_i)))) (* 1/24 n0_i)))) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))> |
#<alt (* 1/120 (* (pow u 5) (+ n1_i (* -1 n0_i))))> |
#<alt (* (pow u 5) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u))))> |
#<alt (* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u)))) (* 1/36 (/ (+ n1_i (* -1 n0_i)) (pow u 2)))))> |
#<alt (* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* -1/24 (/ n0_i (pow u 4))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u))))) (+ (* 1/120 (/ (+ n1_i (* -1 n0_i)) (pow u 4))) (+ (* 1/36 (/ (+ n1_i (* -1 n0_i)) (pow u 2))) (* 1/36 (/ (+ (* -2 n0_i) (* -1 n1_i)) (pow u 4)))))))> |
#<alt (* -1/120 (* (pow u 5) (+ n0_i (* -1 n1_i))))> |
#<alt (* -1 (* (pow u 5) (+ (* -1/24 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))> |
#<alt (* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i)))) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i))))))> |
#<alt (* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/24 (/ n0_i (pow u 2))) (* 1/12 n0_i)) (+ (* 1/120 (/ (+ n0_i (* -1 n1_i)) (pow u 2))) (+ (* 1/36 (+ n0_i (* -1 n1_i))) (* 1/36 (/ (+ n1_i (* 2 n0_i)) (pow u 2)))))) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i))))))> |
#<alt (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))> |
#<alt (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))> |
#<alt (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))> |
#<alt (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))> |
#<alt (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))> |
#<alt (* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))))> |
#<alt (* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))))> |
#<alt (* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))))> |
#<alt (* -1 (* n1_i (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))> |
#<alt (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))))> |
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))> |
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))> |
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))))))))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))))))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i)))))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))))))))))> |
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#<alt (* (pow u 5) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (* 1/24 (/ (* n0_i (pow normAngle 4)) u))))> |
#<alt (* (pow u 5) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i))))))) (pow u 2)))))> |
#<alt (* (pow u 5) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 3))) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i))))))) (pow u 2))))))> |
#<alt (* -1/120 (* (pow normAngle 4) (* (pow u 5) (+ n0_i (* -1 n1_i)))))> |
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#<alt (* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i))))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i)))))))> |
#<alt (* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i)))))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i)))))))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (+ (* -1/6 (* (pow normAngle 2) (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))) (+ (* n0_i (- 1 u)) (* n1_i u)))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))))))> |
#<alt (* (pow normAngle 4) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))> |
#<alt (* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))> |
#<alt (* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))> |
#<alt (* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))> |
#<alt (* (pow normAngle 4) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))> |
#<alt (* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))> |
#<alt (* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))> |
#<alt (* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))))> |
#<alt (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))))))> |
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i)))))> |
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i)))))> |
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))))> |
#<alt (* n1_i u)> |
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#<alt n0_i> |
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#<alt (* n1_i u)> |
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#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))> |
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#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))> |
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#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))> |
#<alt n0_i> |
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))> |
#<alt (* n0_i (- 1 u))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (sin normAngle)> |
#<alt (+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))> |
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))> |
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (+ 1 (* -1 u))))> |
#<alt (sin (* normAngle (+ 1 (* -1 u))))> |
#<alt (sin (* normAngle (+ 1 (* -1 u))))> |
#<alt (sin (* normAngle (+ 1 (* -1 u))))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))> |
#<alt (* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))> |
#<alt (* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i 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))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (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))) (* -1/6 (* n1_i 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))))) (+ (* -1/36 (* 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))) (* (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))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/36 (* 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 (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle))))> |
#<alt (* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle))))> |
#<alt (* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle))))))> |
#<alt (* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle))))))> |
#<alt (* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle))))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (* 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 (* normAngle u)) (* n0_i (sin normAngle)))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (* 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 (* normAngle u)) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle))))> |
#<alt (* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle))))> |
#<alt (* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle))))> |
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle))))))> |
#<alt (* -3 u)> |
#<alt (* u (- (* 3 u) 3))> |
#<alt (* u (- (* u (+ 3 (* -1 u))) 3))> |
#<alt (* u (- (* u (+ 3 (* -1 u))) 3))> |
#<alt (* -1 (pow u 3))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) 1))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))> |
#<alt (* -1 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))> |
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))> |
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))> |
#<alt 1> |
#<alt (+ 1 (* -5 u))> |
#<alt (+ 1 (* u (- (* 10 u) 5)))> |
#<alt (+ 1 (* u (- (* u (+ 10 (* -10 u))) 5)))> |
#<alt (* -1 (pow u 5))> |
#<alt (* (pow u 5) (- (* 5 (/ 1 u)) 1))> |
#<alt (* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2)))))> |
#<alt (* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2)))))> |
#<alt (* -1 (pow u 5))> |
#<alt (* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u)))))> |
#<alt (* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u)))))> |
#<alt (* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u)))))> |
#<alt (* 1/120 (* n1_i u))> |
#<alt (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))> |
#<alt (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))> |
#<alt (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))> |
#<alt (* 1/120 (* n0_i (- 1 u)))> |
#<alt (* n0_i (+ (* 1/120 (- 1 u)) (* 1/120 (/ (* n1_i u) n0_i))))> |
#<alt (* n0_i (+ (* 1/120 (- 1 u)) (* 1/120 (/ (* n1_i u) n0_i))))> |
#<alt (* n0_i (+ (* 1/120 (- 1 u)) (* 1/120 (/ (* n1_i u) n0_i))))> |
#<alt (* 1/120 (* n0_i (- 1 u)))> |
#<alt (* -1 (* n0_i (+ (* -1/120 (- 1 u)) (* -1/120 (/ (* n1_i u) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1/120 (- 1 u)) (* -1/120 (/ (* n1_i u) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1/120 (- 1 u)) (* -1/120 (/ (* n1_i u) n0_i)))))> |
#<alt (* 1/120 n0_i)> |
#<alt (+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))> |
#<alt (+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))> |
#<alt (+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))> |
#<alt (* 1/120 (* u (+ n1_i (* -1 n0_i))))> |
#<alt (* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u))))> |
#<alt (* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u))))> |
#<alt (* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u))))> |
#<alt (* -1/120 (* u (+ n0_i (* -1 n1_i))))> |
#<alt (* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))> |
#<alt (* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))> |
#<alt (* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))> |
#<alt (* 1/120 (* n0_i (- 1 u)))> |
#<alt (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))> |
#<alt (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))> |
#<alt (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))> |
#<alt (* 1/120 (* n1_i u))> |
#<alt (* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i))))> |
#<alt (* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i))))> |
#<alt (* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i))))> |
#<alt (* 1/120 (* n1_i u))> |
#<alt (* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i)))))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i normAngle)> |
#<alt (/ (+ n0_i (* 1/6 (* n0_i (pow normAngle 2)))) normAngle)> |
#<alt (/ (+ n0_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)> |
#<alt (/ (+ n0_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n0_i) (+ (* 1/720 n0_i) (* 1/6 (+ (* -1/36 n0_i) (* 1/120 n0_i))))))) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (/ n0_i (sin normAngle))> |
#<alt (* 1/6 u)> |
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))> |
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))> |
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))> |
#<alt (* -1/6 (pow u 3))> |
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* -1/6 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))> |
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))> |
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/6 (pow u 2)))> |
#<alt (+ 1/6 (* -1/6 (pow u 2)))> |
#<alt (+ 1/6 (* -1/6 (pow u 2)))> |
#<alt (* -1/6 (pow u 2))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* -1/6 (pow u 2))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))> |
#<alt 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))> |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | u | @ | 0 | (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1)))) |
| 26.0ms | n1_i | @ | -inf | (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120))) |
| 12.0ms | n0_i | @ | -inf | (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120))) |
| 7.0ms | n1_i | @ | inf | (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120))) |
| 3.0ms | n0_i | @ | 0 | (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120))) |
| 1× | batch-egg-rewrite |
| 7 466× | *-lowering-*.f32 |
| 7 466× | *-lowering-*.f64 |
| 6 264× | accelerator-lowering-fma.f32 |
| 6 264× | accelerator-lowering-fma.f64 |
| 3 380× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 322 |
| 1 | 398 | 318 |
| 2 | 3702 | 318 |
| 0 | 10407 | 297 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120))) |
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))))) (* u n1_i))) |
(+ (* n0_i (- 1 u)) (* u n1_i)) |
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1)))) |
(* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle))) |
(sin (* normAngle (- 1 u))) |
(* normAngle (- 1 u)) |
(- 1 u) |
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i)) |
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) |
(sin (* (- 1 u) normAngle)) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* u (/ normAngle (sin normAngle))) n1_i)) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) |
(pow (- 1 u) 5) |
(* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120) |
(/ n0_i (sin normAngle)) |
(* u (+ (* (* u u) -1/6) 1/6)) |
(+ (* (* u u) -1/6) 1/6) |
(* (- 1 u) normAngle) |
| Outputs |
|---|
(+.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))) |
(+.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))))) |
(+.f32 (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))) |
(+.f32 (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i #s(literal 1/120 binary32))) (-.f32 (*.f32 n1_i (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))) |
(+.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))))) (neg.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))) |
(+.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))))) (*.f32 #s(literal -1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))) |
(+.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))))) (*.f32 (neg.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) #s(literal 1/120 binary32))) |
(pow.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))) (pow.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 1/1728000 binary32) (pow.f32 (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))) (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) #s(literal 2 binary32)) (*.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))) |
(fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (-.f32 (*.f32 n1_i (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))) |
(fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))) |
(fma.f32 n0_i (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))) |
(fma.f32 n0_i (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/120 binary32)) (-.f32 (*.f32 n1_i (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))) |
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))) |
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i #s(literal 1/120 binary32)) (-.f32 (*.f32 n1_i (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))) |
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(+.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))))) (*.f32 #s(literal -1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) #s(literal -1/6 binary32))))) (*.f32 u n1_i)) |
(pow.f32 (/.f32 (fma.f32 (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))))) (*.f32 #s(literal -1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) #s(literal -1/6 binary32))))) (-.f32 (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))))) (*.f32 #s(literal -1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) #s(literal -1/6 binary32))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 n0_i (*.f32 n0_i n0_i)) (pow.f32 (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))))) (*.f32 #s(literal -1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) #s(literal -1/6 binary32))))) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
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(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))))) (*.f32 #s(literal -1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) #s(literal -1/6 binary32)))))) |
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(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) |
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(+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 u u) #s(literal -1/6 binary32))) |
(pow.f32 (/.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal -1/36 binary32)))) (fma.f32 (*.f32 u (*.f32 u u)) (*.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 (*.f32 u u) #s(literal -1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) #s(literal -1/36 binary32))) #s(literal -1 binary32)) |
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) |
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) |
(fma.f32 (*.f32 u #s(literal -1/6 binary32)) u #s(literal 1/6 binary32)) |
(-.f32 (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u)))) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal -1/6 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal -1/36 binary32)))) (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) #s(literal -1/36 binary32)))) |
(/.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal -1/36 binary32))))) |
(/.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (+.f32 #s(literal 1/36 binary32) (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u)))) (*.f32 (*.f32 u u) #s(literal -1/36 binary32))))) |
(/.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) #s(literal -1/36 binary32)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal -1/36 binary32)))))) |
(/.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) #s(literal -1/36 binary32))) (neg.f32 (fma.f32 (*.f32 u 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 (*.f32 u (*.f32 u u))))) (-.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 u u) #s(literal -1/6 binary32)))) |
(*.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal -1/36 binary32)))))) |
(*.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal -1/6 binary32)))) |
(+.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 #s(literal 1 binary32) normAngle (*.f32 (neg.f32 u) normAngle)) |
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (neg.f32 u))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) normAngle) (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
| 1× | egg-herbie |
| 8 000× | accelerator-lowering-fma.f32 |
| 8 000× | accelerator-lowering-fma.f64 |
| 6 492× | +-lowering-+.f64 |
| 6 492× | +-lowering-+.f32 |
| 6 298× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 961 | 12380 |
| 1 | 3303 | 11844 |
| 0 | 8025 | 11161 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) |
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) |
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) |
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) |
(* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))) |
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))))) |
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))))) |
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))))) |
(* -1 (* n0_i (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))) |
(* u (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))) |
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))) |
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* 1/24 (* n0_i u))) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))) |
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* u (+ (* 1/120 (* u (+ n1_i (* -1 n0_i)))) (* 1/24 n0_i)))) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))) |
(* 1/120 (* (pow u 5) (+ n1_i (* -1 n0_i)))) |
(* (pow u 5) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u)))) |
(* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u)))) (* 1/36 (/ (+ n1_i (* -1 n0_i)) (pow u 2))))) |
(* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* -1/24 (/ n0_i (pow u 4))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u))))) (+ (* 1/120 (/ (+ n1_i (* -1 n0_i)) (pow u 4))) (+ (* 1/36 (/ (+ n1_i (* -1 n0_i)) (pow u 2))) (* 1/36 (/ (+ (* -2 n0_i) (* -1 n1_i)) (pow u 4))))))) |
(* -1/120 (* (pow u 5) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 5) (+ (* -1/24 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i)))))) |
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i)))) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i)))))) |
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/24 (/ n0_i (pow u 2))) (* 1/12 n0_i)) (+ (* 1/120 (/ (+ n0_i (* -1 n1_i)) (pow u 2))) (+ (* 1/36 (+ n0_i (* -1 n1_i))) (* 1/36 (/ (+ n1_i (* 2 n0_i)) (pow u 2)))))) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i)))))) |
(- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) |
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) |
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) |
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) |
(* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))) |
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))))))) |
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))))))) |
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))))))) |
(* -1 (* n1_i (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) |
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))))) |
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))))) |
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))))) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) |
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u)) |
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u)) |
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))))))) |
n0_i |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i)))))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))))))))) |
(* 1/120 (* (pow normAngle 4) (* (pow u 5) (+ n1_i (* -1 n0_i))))) |
(* (pow u 5) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (* 1/24 (/ (* n0_i (pow normAngle 4)) u)))) |
(* (pow u 5) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i))))))) (pow u 2))))) |
(* (pow u 5) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 3))) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i))))))) (pow u 2)))))) |
(* -1/120 (* (pow normAngle 4) (* (pow u 5) (+ n0_i (* -1 n1_i))))) |
(* -1 (* (pow u 5) (+ (* -1/24 (/ (* n0_i (pow normAngle 4)) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i))))))) |
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i))))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i))))))) |
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i)))))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i))))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* -1/6 (* (pow normAngle 2) (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))))))) |
(* (pow normAngle 4) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))) |
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))) |
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))) |
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))) |
(* (pow normAngle 4) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))) |
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))) |
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))) |
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))))) |
(* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 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))))) |
(* n1_i (* u (- (pow u 2) 1))) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1)) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))) |
(* u (+ (* -2 n0_i) (* -1 n1_i))) |
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* 3 (* n0_i u))))) |
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))))) |
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))))) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (* 3 (/ n0_i u))))))) |
(* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (* 3 (/ n0_i u))))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 3 n0_i)) u)))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 3 n0_i)) u)))))) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))) |
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))) |
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))))) |
(* 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 |
(+ 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 (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 (- 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))) |
(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 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 |
(+ 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))))) |
1 |
(+ 1 (* -1 u)) |
(+ 1 (* -1 u)) |
(+ 1 (* -1 u)) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (- (/ 1 u) 1)) |
(* u (- (/ 1 u) 1)) |
(* -1 u) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (- 1 (/ 1 u)))) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(- 1 u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u))))))) |
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(sin normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle))))))))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(* normAngle (- 1 u)) |
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u)) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i 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))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (sin normAngle)))))) |
(* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (sin normAngle)))))) |
(* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (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))) (* -1/6 (* n1_i 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))))) (+ (* -1/36 (* 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))) (* (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))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/36 (* 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))))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle)))) |
(* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle)))) |
(* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle)))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle)))))) |
(* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle)))))) |
(* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle)))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (* 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 (* normAngle u)) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle)))) |
(* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle)))) |
(* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle)))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle)))))) |
(* -3 u) |
(* u (- (* 3 u) 3)) |
(* u (- (* u (+ 3 (* -1 u))) 3)) |
(* u (- (* u (+ 3 (* -1 u))) 3)) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(* -1 (pow u 3)) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
1 |
(+ 1 (* -5 u)) |
(+ 1 (* u (- (* 10 u) 5))) |
(+ 1 (* u (- (* u (+ 10 (* -10 u))) 5))) |
(* -1 (pow u 5)) |
(* (pow u 5) (- (* 5 (/ 1 u)) 1)) |
(* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2))))) |
(* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2))))) |
(* -1 (pow u 5)) |
(* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u))))) |
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u))))) |
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u))))) |
(* 1/120 (* n1_i u)) |
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))) |
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))) |
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))) |
(* 1/120 (* n0_i (- 1 u))) |
(* n0_i (+ (* 1/120 (- 1 u)) (* 1/120 (/ (* n1_i u) n0_i)))) |
(* n0_i (+ (* 1/120 (- 1 u)) (* 1/120 (/ (* n1_i u) n0_i)))) |
(* n0_i (+ (* 1/120 (- 1 u)) (* 1/120 (/ (* n1_i u) n0_i)))) |
(* 1/120 (* n0_i (- 1 u))) |
(* -1 (* n0_i (+ (* -1/120 (- 1 u)) (* -1/120 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1/120 (- 1 u)) (* -1/120 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1/120 (- 1 u)) (* -1/120 (/ (* n1_i u) n0_i))))) |
(* 1/120 n0_i) |
(+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i))))) |
(+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i))))) |
(+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i))))) |
(* 1/120 (* u (+ n1_i (* -1 n0_i)))) |
(* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u)))) |
(* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u)))) |
(* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u)))) |
(* -1/120 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i)))))) |
(* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i)))))) |
(* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i)))))) |
(* 1/120 (* n0_i (- 1 u))) |
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))) |
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))) |
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))) |
(* 1/120 (* n1_i u)) |
(* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i)))) |
(* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i)))) |
(* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i)))) |
(* 1/120 (* n1_i u)) |
(* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i))))) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(/ n0_i normAngle) |
(/ (+ n0_i (* 1/6 (* n0_i (pow normAngle 2)))) normAngle) |
(/ (+ n0_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle) |
(/ (+ n0_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n0_i) (+ (* 1/720 n0_i) (* 1/6 (+ (* -1/36 n0_i) (* 1/120 n0_i))))))) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(/ n0_i (sin normAngle)) |
(* 1/6 u) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(* -1/6 (pow u 3)) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* -1/6 (pow u 3)) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
1/6 |
(+ 1/6 (* -1/6 (pow u 2))) |
(+ 1/6 (* -1/6 (pow u 2))) |
(+ 1/6 (* -1/6 (pow u 2))) |
(* -1/6 (pow u 2)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* -1/6 (pow u 2)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
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 |
|---|
(- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) |
(fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) |
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) |
(-.f32 (fma.f32 n0_i (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) |
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) |
(-.f32 (fma.f32 n0_i (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) |
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) |
(-.f32 (fma.f32 n0_i (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) |
(* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))) |
(*.f32 n0_i (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))) |
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))))) |
(*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 5 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/36 binary32) (fma.f32 n1_i (/.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)))))))) |
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))))) |
(*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 5 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/36 binary32) (fma.f32 n1_i (/.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)))))))) |
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))))) |
(*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 5 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/36 binary32) (fma.f32 n1_i (/.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)))))))) |
(* -1 (* n0_i (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))) |
(*.f32 (+.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 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)) u) #s(literal -1/36 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))) |
(*.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (neg.f32 n0_i))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/120 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))) |
(*.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (neg.f32 n0_i))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/120 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))) |
(*.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (neg.f32 n0_i))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/120 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))) (neg.f32 n0_i)) |
(* u (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))) |
(*.f32 u (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) |
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))) |
(*.f32 u (-.f32 (fma.f32 (*.f32 u u) (fma.f32 n0_i #s(literal -1/12 binary32) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/24 binary32))) (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))) |
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* 1/24 (* n0_i u))) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))) |
(*.f32 u (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 (*.f32 u u) (fma.f32 n0_i #s(literal -1/12 binary32) (fma.f32 #s(literal 1/24 binary32) (*.f32 u n0_i) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i)))) (neg.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))))) |
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* u (+ (* 1/120 (* u (+ n1_i (* -1 n0_i)))) (* 1/24 n0_i)))) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))) |
(*.f32 u (-.f32 (fma.f32 (*.f32 u u) (fma.f32 n0_i #s(literal -1/12 binary32) (fma.f32 u (fma.f32 #s(literal 1/120 binary32) (*.f32 u (-.f32 n1_i n0_i)) (*.f32 n0_i #s(literal 1/24 binary32))) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i)))) (*.f32 n0_i #s(literal -1/24 binary32))) (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))) |
(* 1/120 (* (pow u 5) (+ n1_i (* -1 n0_i)))) |
(*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (-.f32 n1_i n0_i)) |
(* (pow u 5) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u)))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (/.f32 (*.f32 n0_i #s(literal 1/24 binary32)) u))) |
(* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u)))) (* 1/36 (/ (+ n1_i (* -1 n0_i)) (pow u 2))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 n0_i (*.f32 u u)) (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (/.f32 (*.f32 n0_i #s(literal 1/24 binary32)) u))) (/.f32 (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) |
(* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* -1/24 (/ n0_i (pow u 4))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u))))) (+ (* 1/120 (/ (+ n1_i (* -1 n0_i)) (pow u 4))) (+ (* 1/36 (/ (+ n1_i (* -1 n0_i)) (pow u 2))) (* 1/36 (/ (+ (* -2 n0_i) (* -1 n1_i)) (pow u 4))))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 n0_i (*.f32 u u)) (fma.f32 #s(literal -1/24 binary32) (/.f32 n0_i (pow.f32 u #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (/.f32 (*.f32 n0_i #s(literal 1/24 binary32)) u)))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (/.f32 (-.f32 n1_i n0_i) (*.f32 u u)) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (pow.f32 u #s(literal 4 binary32)))) (/.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (pow.f32 u #s(literal 4 binary32)))))) |
(* -1/120 (* (pow u 5) (+ n0_i (* -1 n1_i)))) |
(*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32)) (-.f32 n0_i n1_i)) |
(* -1 (* (pow u 5) (+ (* -1/24 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i)))))) |
(*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (/.f32 (*.f32 n0_i #s(literal -1/24 binary32)) u)) (neg.f32 (pow.f32 u #s(literal 5 binary32)))) |
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i)))) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i)))))) |
(*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (/.f32 (fma.f32 n0_i #s(literal 1/24 binary32) (/.f32 (fma.f32 n0_i #s(literal 1/12 binary32) (*.f32 #s(literal -1/36 binary32) (-.f32 n0_i n1_i))) (neg.f32 u))) (neg.f32 u))) (neg.f32 (pow.f32 u #s(literal 5 binary32)))) |
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/24 (/ n0_i (pow u 2))) (* 1/12 n0_i)) (+ (* 1/120 (/ (+ n0_i (* -1 n1_i)) (pow u 2))) (+ (* 1/36 (+ n0_i (* -1 n1_i))) (* 1/36 (/ (+ n1_i (* 2 n0_i)) (pow u 2)))))) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i)))))) |
(neg.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (/.f32 (fma.f32 n0_i #s(literal 1/24 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 n0_i (*.f32 u u)) (fma.f32 n0_i #s(literal 1/12 binary32) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 n0_i n1_i) (/.f32 (fma.f32 #s(literal 2 binary32) n0_i n1_i) (*.f32 u u))) (/.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i)) (*.f32 u u)))))) (neg.f32 u))) (neg.f32 u))))) |
(- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) |
(fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) |
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) |
(-.f32 (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 #s(literal 1/36 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) |
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) |
(-.f32 (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 #s(literal 1/36 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) |
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) |
(-.f32 (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 #s(literal 1/36 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) |
(* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))) |
(*.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32)))) |
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))))))) |
(*.f32 n1_i (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (/.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) |
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))))))) |
(*.f32 n1_i (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (/.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) |
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))))))) |
(*.f32 n1_i (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (/.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) |
(* -1 (* n1_i (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))) |
(*.f32 (neg.f32 n1_i) (+.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) u))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (neg.f32 n1_i))) (fma.f32 u #s(literal -1/120 binary32) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (neg.f32 n1_i))) (fma.f32 u #s(literal -1/120 binary32) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (neg.f32 n1_i))) (fma.f32 u #s(literal -1/120 binary32) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))))) |
(+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) |
(fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32))))) |
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))))) |
(fma.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) #s(literal 1 binary32)) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32)))))) |
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))))) |
(fma.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) #s(literal 1 binary32)) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32)))))) |
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))))) |
(fma.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) #s(literal 1 binary32)) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32)))))) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) |
(*.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) #s(literal 1 binary32)) u)) |
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32)))) n0_i))) u))) |
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32)))) n0_i))) u))) |
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32)))) n0_i))) u))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))))))) |
(*.f32 (neg.f32 n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 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)) u) #s(literal -1/36 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal 1/6 binary32) #s(literal -1/6 binary32))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 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)) u) #s(literal -1/36 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal 1/6 binary32) #s(literal -1/6 binary32))) (/.f32 (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32))))) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 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)) u) #s(literal -1/36 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal 1/6 binary32) #s(literal -1/6 binary32))) (/.f32 (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32))))) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 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)) u) #s(literal -1/36 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal 1/6 binary32) #s(literal -1/6 binary32))) (/.f32 (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32))))) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u))) |
n0_i |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))))))))) |
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (neg.f32 n0_i))) n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))))))))) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i)))))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))))))))) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 u (*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32) (*.f32 (fma.f32 n0_i #s(literal -1/12 binary32) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/2 binary32) n0_i)))))) n0_i) |
(* 1/120 (* (pow normAngle 4) (* (pow u 5) (+ n1_i (* -1 n0_i))))) |
(*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 n1_i n0_i)) (pow.f32 normAngle #s(literal 4 binary32)))) |
(* (pow u 5) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (* 1/24 (/ (* n0_i (pow normAngle 4)) u)))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) u)))) |
(* (pow u 5) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i))))))) (pow u 2))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32) (*.f32 (fma.f32 n0_i #s(literal -1/12 binary32) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle))) (*.f32 u u)) (*.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) u))))) |
(* (pow u 5) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 3))) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i))))))) (pow u 2)))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32) (*.f32 (fma.f32 n0_i #s(literal -1/12 binary32) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle))) (*.f32 u u)) (*.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) u)))))) |
(* -1/120 (* (pow normAngle 4) (* (pow u 5) (+ n0_i (* -1 n1_i))))) |
(*.f32 (*.f32 #s(literal -1/120 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 n0_i n1_i))) |
(* -1 (* (pow u 5) (+ (* -1/24 (/ (* n0_i (pow normAngle 4)) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i))))))) |
(neg.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) u) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (-.f32 n0_i n1_i))))) |
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i))))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i))))))) |
(*.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n0_i n1_i) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (neg.f32 (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (fma.f32 n0_i #s(literal 1/12 binary32) (*.f32 #s(literal -1/36 binary32) (-.f32 n0_i n1_i))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n0_i n1_i) #s(literal -1/6 binary32))) u) (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))))) (neg.f32 u))) (neg.f32 (pow.f32 u #s(literal 5 binary32)))) |
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i)))))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i))))))) |
(*.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n0_i n1_i) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n0_i #s(literal 1/12 binary32) (*.f32 #s(literal -1/36 binary32) (-.f32 n0_i n1_i))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n0_i n1_i) #s(literal -1/6 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) u)) (neg.f32 u))) (neg.f32 u))) (neg.f32 (pow.f32 u #s(literal 5 binary32)))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* -1/6 (* (pow normAngle 2) (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (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 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (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 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) (*.f32 n1_i u))) |
(* (pow normAngle 4) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (-.f32 (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 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) |
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/120 binary32) (-.f32 (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 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))) |
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (-.f32 (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 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 normAngle #s(literal 4 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))) |
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (-.f32 (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 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 normAngle #s(literal 4 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))) |
(* (pow normAngle 4) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (-.f32 (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 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) |
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/120 binary32) (-.f32 (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 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))) |
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (-.f32 (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 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 normAngle #s(literal 4 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))) |
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (-.f32 (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 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 normAngle #s(literal 4 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) #s(literal -1/6 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) #s(literal -1/6 binary32))) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) #s(literal -1/6 binary32))) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) #s(literal -1/6 binary32))) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) u)))) |
(* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) u)) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i))))) |
(*.f32 n1_i (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) u) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) #s(literal -1/6 binary32))) n1_i) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i))))) |
(*.f32 n1_i (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) u) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) #s(literal -1/6 binary32))) n1_i) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i))))) |
(*.f32 n1_i (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) u) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) #s(literal -1/6 binary32))) n1_i) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)))) |
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))) |
(*.f32 (neg.f32 n1_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal 1/6 binary32) (*.f32 (+.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) u)) (*.f32 normAngle normAngle))) (neg.f32 u))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal 1/6 binary32) (*.f32 (+.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) u)) (*.f32 normAngle normAngle))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) #s(literal -1/6 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (neg.f32 n1_i))) u)) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal 1/6 binary32) (*.f32 (+.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) u)) (*.f32 normAngle normAngle))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) #s(literal -1/6 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (neg.f32 n1_i))) u)) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal 1/6 binary32) (*.f32 (+.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) u)) (*.f32 normAngle normAngle))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) #s(literal -1/6 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (neg.f32 n1_i))) u)) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
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(+ (* n0_i (- 1 u)) (* n1_i u)) |
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(* n0_i (- 1 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
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(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
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(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
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n0_i |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
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(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
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(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
(* u (+ n1_i (* -1 n0_i))) |
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(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
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(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(-.f32 #s(literal 0 binary32) (*.f32 u (-.f32 n0_i n1_i))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
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(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 u (fma.f32 n0_i (neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle 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 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))) (neg.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n0_i) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u)) |
(*.f32 normAngle (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(*.f32 normAngle (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) #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 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))))) #s(literal 1 binary32)) u)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin normAngle) |
(sin.f32 normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(fma.f32 normAngle (neg.f32 (*.f32 u (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 (cos.f32 normAngle) (neg.f32 normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (*.f32 u (sin.f32 normAngle)))) (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 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (sin.f32 normAngle) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u (cos.f32 normAngle)))) (neg.f32 (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* -1 (* normAngle u)) |
(-.f32 #s(literal 0 binary32) (*.f32 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)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle)) |
(* -1 (* normAngle u)) |
(-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) |
(* -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)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(* -1 u) |
(neg.f32 u) |
(* u (- (/ 1 u) 1)) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) |
(* u (- (/ 1 u) 1)) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) |
(* u (- (/ 1 u) 1)) |
(*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) |
(* -1 u) |
(neg.f32 u) |
(* -1 (* u (- 1 (/ 1 u)))) |
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)) (neg.f32 u)) |
(* -1 (* u (- 1 (/ 1 u)))) |
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)) (neg.f32 u)) |
(* -1 (* u (- 1 (/ 1 u)))) |
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)) (neg.f32 u)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(fma.f32 (neg.f32 normAngle) (/.f32 (*.f32 u (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 u (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))) (/.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 (*.f32 normAngle normAngle) #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) (neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) #s(literal 1 binary32)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) 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) |
(-.f32 (fma.f32 (*.f32 normAngle normAngle) (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) #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) |
(-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (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 #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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 #s(literal -1/120 binary32) (neg.f32 u) #s(literal -1/120 binary32))) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32)))) #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) |
(-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.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 #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 (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 #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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 #s(literal -1/120 binary32) (neg.f32 u) #s(literal -1/120 binary32))) (fma.f32 #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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32))))) (neg.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))))) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32)))) #s(literal 1 binary32)) u) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))) |
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))) |
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(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))))))) |
(fma.f32 u (fma.f32 n0_i (neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (fma.f32 u (fma.f32 u (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 normAngle normAngle))) (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32))))) n0_i) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (*.f32 u u)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 (*.f32 u (*.f32 u u)) (sin.f32 normAngle)))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (*.f32 u u)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 (*.f32 u (*.f32 u u)) (sin.f32 normAngle)))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))) |
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(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))) |
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(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))) |
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(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u))))))) |
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(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u))))))) |
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(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u))))))) |
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(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))) |
(*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 (*.f32 normAngle normAngle) (sin.f32 normAngle)))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 (*.f32 normAngle normAngle) (sin.f32 normAngle)))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 (*.f32 normAngle normAngle) (sin.f32 normAngle)))))) |
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))) |
(*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 (*.f32 normAngle normAngle) (sin.f32 normAngle)))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 (*.f32 normAngle normAngle) (sin.f32 normAngle)))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u (*.f32 normAngle normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 (*.f32 normAngle normAngle) (sin.f32 normAngle)))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
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(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))) |
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(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))))) |
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(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(fma.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u)) |
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(*.f32 n1_i (+.f32 u (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(*.f32 n1_i (+.f32 u (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))) |
(*.f32 n1_i (+.f32 u (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))))) |
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u)) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u)))) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u)))) |
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u)))) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 u (fma.f32 n0_i (neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle 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 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))) (neg.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n0_i) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(* n0_i (- 1 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+ (* 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 #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)) (-.f32 #s(literal 0 binary32) (-.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 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 #s(literal 1/6 binary32) (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 1/6 binary32)))) (*.f32 n0_i (-.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))) (* (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 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 #s(literal 1/6 binary32) (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal 1/120 binary32) (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal -1/5040 binary32)))))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 1/6 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(sin normAngle) |
(sin.f32 normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(fma.f32 normAngle (neg.f32 (*.f32 u (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 (cos.f32 normAngle) (neg.f32 normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (*.f32 u (sin.f32 normAngle)))) (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 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (sin.f32 normAngle) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u (cos.f32 normAngle)))) (neg.f32 (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u)) |
(*.f32 normAngle (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(*.f32 normAngle (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) #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 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))))) #s(literal 1 binary32)) u)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (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)))))) |
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(+ 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))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
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(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)) |
(* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
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(* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
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(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)) |
(* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (sin normAngle)))))) |
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(* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (sin normAngle)))))) |
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(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) 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))) (* -1/6 (* n1_i u))))))) |
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(+ (* 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))))) (+ (* -1/36 (* 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))))))) |
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(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)) |
(* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle)))) |
(*.f32 normAngle (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 normAngle (sin.f32 normAngle))) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))) |
(* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle)))) |
(*.f32 normAngle (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 normAngle (sin.f32 normAngle))) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))) |
(* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle)))) |
(*.f32 normAngle (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 normAngle (sin.f32 normAngle))) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)) |
(* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle)))))) |
(neg.f32 (*.f32 normAngle (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 normAngle (sin.f32 normAngle))) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))))) |
(* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle)))))) |
(neg.f32 (*.f32 normAngle (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 normAngle (sin.f32 normAngle))) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))))) |
(* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle)))))) |
(neg.f32 (*.f32 normAngle (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 normAngle (sin.f32 normAngle))) (*.f32 n1_i (/.f32 u (sin.f32 normAngle))))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (*.f32 u normAngle) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (*.f32 u normAngle) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 n1_i (/.f32 (*.f32 u normAngle) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 (*.f32 u normAngle) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 (*.f32 u normAngle) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 (*.f32 u normAngle) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)) |
(* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle)))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))) |
(* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle)))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))) |
(* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle)))) |
(*.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)) |
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle)))))) |
(*.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))) |
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle)))))) |
(*.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))) |
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle)))))) |
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(* -3 u) |
(*.f32 u #s(literal -3 binary32)) |
(* u (- (* 3 u) 3)) |
(*.f32 u (fma.f32 u #s(literal 3 binary32) #s(literal -3 binary32))) |
(* u (- (* u (+ 3 (* -1 u))) 3)) |
(*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -3 binary32))) |
(* u (- (* u (+ 3 (* -1 u))) 3)) |
(*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -3 binary32))) |
(* -1 (pow u 3)) |
(neg.f32 (*.f32 u (*.f32 u u))) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 3 binary32) u) #s(literal -1 binary32))) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 3 binary32) u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) (*.f32 u u))))) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 3 binary32) u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) (*.f32 u u))))) |
(* -1 (pow u 3)) |
(neg.f32 (*.f32 u (*.f32 u u))) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -3 binary32) u))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) u)) u))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) u)) u))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -5 u)) |
(fma.f32 u #s(literal -5 binary32) #s(literal 1 binary32)) |
(+ 1 (* u (- (* 10 u) 5))) |
(fma.f32 u (fma.f32 u #s(literal 10 binary32) #s(literal -5 binary32)) #s(literal 1 binary32)) |
(+ 1 (* u (- (* u (+ 10 (* -10 u))) 5))) |
(fma.f32 u (fma.f32 u (fma.f32 u #s(literal -10 binary32) #s(literal 10 binary32)) #s(literal -5 binary32)) #s(literal 1 binary32)) |
(* -1 (pow u 5)) |
(neg.f32 (pow.f32 u #s(literal 5 binary32))) |
(* (pow u 5) (- (* 5 (/ 1 u)) 1)) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 5 binary32) u) #s(literal -1 binary32))) |
(* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 5 binary32) u) #s(literal -1 binary32)) (/.f32 #s(literal 10 binary32) (*.f32 u u)))) |
(* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 5 binary32) u) (/.f32 #s(literal 10 binary32) (*.f32 u (*.f32 u u)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 10 binary32) (*.f32 u u))))) |
(* -1 (pow u 5)) |
(neg.f32 (pow.f32 u #s(literal 5 binary32))) |
(* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -5 binary32) u)))) |
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u))))) |
(*.f32 (neg.f32 (pow.f32 u #s(literal 5 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 5 binary32) (/.f32 #s(literal -10 binary32) u)) u))) |
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u))))) |
(neg.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 5 binary32) (/.f32 (+.f32 #s(literal 10 binary32) (/.f32 #s(literal -10 binary32) u)) u)) u)))) |
(* 1/120 (* n1_i u)) |
(*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)) |
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))) |
(*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))) |
(*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))) |
(*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(* 1/120 (* n0_i (- 1 u))) |
(*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(* n0_i (+ (* 1/120 (- 1 u)) (* 1/120 (/ (* n1_i u) n0_i)))) |
(*.f32 n0_i (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (+ (* 1/120 (- 1 u)) (* 1/120 (/ (* n1_i u) n0_i)))) |
(*.f32 n0_i (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (+ (* 1/120 (- 1 u)) (* 1/120 (/ (* n1_i u) n0_i)))) |
(*.f32 n0_i (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))) |
(* 1/120 (* n0_i (- 1 u))) |
(*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(* -1 (* n0_i (+ (* -1/120 (- 1 u)) (* -1/120 (/ (* n1_i u) n0_i))))) |
(-.f32 #s(literal 0 binary32) (*.f32 n0_i (*.f32 #s(literal -1/120 binary32) (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))))) |
(* -1 (* n0_i (+ (* -1/120 (- 1 u)) (* -1/120 (/ (* n1_i u) n0_i))))) |
(-.f32 #s(literal 0 binary32) (*.f32 n0_i (*.f32 #s(literal -1/120 binary32) (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))))) |
(* -1 (* n0_i (+ (* -1/120 (- 1 u)) (* -1/120 (/ (* n1_i u) n0_i))))) |
(-.f32 #s(literal 0 binary32) (*.f32 n0_i (*.f32 #s(literal -1/120 binary32) (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))))) |
(* 1/120 n0_i) |
(*.f32 #s(literal 1/120 binary32) n0_i) |
(+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i))))) |
(*.f32 #s(literal 1/120 binary32) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i))))) |
(*.f32 #s(literal 1/120 binary32) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i))))) |
(*.f32 #s(literal 1/120 binary32) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(* 1/120 (* u (+ n1_i (* -1 n0_i)))) |
(*.f32 #s(literal 1/120 binary32) (*.f32 u (-.f32 n1_i n0_i))) |
(* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u)))) |
(*.f32 u (*.f32 #s(literal 1/120 binary32) (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))) |
(* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u)))) |
(*.f32 u (*.f32 #s(literal 1/120 binary32) (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))) |
(* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u)))) |
(*.f32 u (*.f32 #s(literal 1/120 binary32) (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))) |
(* -1/120 (* u (+ n0_i (* -1 n1_i)))) |
(*.f32 #s(literal -1/120 binary32) (*.f32 u (-.f32 n0_i n1_i))) |
(* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i)))))) |
(*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (*.f32 #s(literal -1/120 binary32) (/.f32 n0_i u))) (neg.f32 u)) |
(* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i)))))) |
(*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (*.f32 #s(literal -1/120 binary32) (/.f32 n0_i u))) (neg.f32 u)) |
(* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i)))))) |
(*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (*.f32 #s(literal -1/120 binary32) (/.f32 n0_i u))) (neg.f32 u)) |
(* 1/120 (* n0_i (- 1 u))) |
(*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))) |
(*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))) |
(*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))) |
(*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(* 1/120 (* n1_i u)) |
(*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)) |
(* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i)))) |
(*.f32 n1_i (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) |
(* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i)))) |
(*.f32 n1_i (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) |
(* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i)))) |
(*.f32 n1_i (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) |
(* 1/120 (* n1_i u)) |
(*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)) |
(* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 n1_i) (*.f32 #s(literal -1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) |
(* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 n1_i) (*.f32 #s(literal -1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) |
(* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 n1_i) (*.f32 #s(literal -1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i normAngle) |
(/.f32 n0_i normAngle) |
(/ (+ n0_i (* 1/6 (* n0_i (pow normAngle 2)))) normAngle) |
(/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) n0_i) normAngle) |
(/ (+ n0_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle) |
(/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 7/360 binary32)) (*.f32 n0_i #s(literal 1/6 binary32))) n0_i) normAngle) |
(/ (+ n0_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n0_i) (+ (* 1/720 n0_i) (* 1/6 (+ (* -1/36 n0_i) (* 1/120 n0_i))))))) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle) |
(/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/840 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal 1/6 binary32))) n0_i) normAngle) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(* 1/6 u) |
(*.f32 u #s(literal 1/6 binary32)) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) |
(* u (+ 1/6 (* -1/6 (pow u 2)))) |
(*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) |
(* -1/6 (pow u 3)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32))) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32))) |
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32))) |
(* -1/6 (pow u 3)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 u u)))) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 u u)))) |
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2)))))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 u u)))) |
1/6 |
#s(literal 1/6 binary32) |
(+ 1/6 (* -1/6 (pow u 2))) |
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) |
(+ 1/6 (* -1/6 (pow u 2))) |
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) |
(+ 1/6 (* -1/6 (pow u 2))) |
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) |
(* -1/6 (pow u 2)) |
(*.f32 (*.f32 u u) #s(literal -1/6 binary32)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32))) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32))) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32))) |
(* -1/6 (pow u 2)) |
(*.f32 (*.f32 u u) #s(literal -1/6 binary32)) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32))) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32))) |
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6)) |
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* -1 (* normAngle u)) |
(-.f32 #s(literal 0 binary32) (*.f32 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)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle)) |
(* -1 (* normAngle u)) |
(-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) |
(* -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)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
Compiled 227 432 to 6 821 computations (97% saved)
30 alts after pruning (28 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 903 | 26 | 1 929 |
| Fresh | 10 | 2 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 916 | 30 | 1 946 |
| Status | Accuracy | Program |
|---|---|---|
| 98.8% | (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) u) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) | |
| 97.7% | (fma.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) | |
| 99.0% | (fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))) | |
| 98.8% | (fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))) n0_i) | |
| ▶ | 99.1% | (fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
| 99.0% | (fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (neg.f32 n0_i))) n0_i) | |
| 97.5% | (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) | |
| 99.0% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 (*.f32 u u) (fma.f32 n0_i #s(literal -1/12 binary32) (fma.f32 #s(literal 1/24 binary32) (*.f32 u n0_i) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i)))) (neg.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))))))) (*.f32 u n1_i))) | |
| 99.1% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (fma.f32 (*.f32 u u) (fma.f32 n0_i #s(literal -1/12 binary32) (fma.f32 u (fma.f32 #s(literal 1/120 binary32) (*.f32 u (-.f32 n1_i n0_i)) (*.f32 n0_i #s(literal 1/24 binary32))) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i)))) (*.f32 n0_i #s(literal -1/24 binary32))) (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))))) (*.f32 u n1_i))) | |
| ▶ | 99.0% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))))) (*.f32 u n1_i))) |
| ▶ | 98.8% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i))) |
| 98.7% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i u)))))) | |
| ▶ | 60.9% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
| 97.4% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) | |
| 98.8% | (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 32.1% | (/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)) | |
| 99.0% | (+.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (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 #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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 #s(literal -1/120 binary32) (neg.f32 u) #s(literal -1/120 binary32))) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32)))) #s(literal 1 binary32)) u) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)) | |
| 98.9% | (+.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)) u) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)) | |
| 98.2% | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) 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)) | |
| 98.3% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u) n1_i)) | |
| 80.2% | (+.f32 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)) | |
| 80.5% | (+.f32 n0_i (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)) | |
| 77.4% | (*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 (*.f32 u (*.f32 u u)) (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (*.f32 u u)) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) (neg.f32 (*.f32 u (*.f32 u u)))) | |
| 62.6% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) | |
| 35.6% | (*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) | |
| 60.7% | (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/840 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal 1/6 binary32))) n0_i) normAngle)) | |
| ✓ | 60.7% | (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
| 35.9% | (*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u)) | |
| ▶ | 60.7% | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
| ✓ | 46.7% | n0_i |
Compiled 2 072 to 1 117 computations (46.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) |
| ✓ | cost-diff | 32 | (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) |
| ✓ | cost-diff | 64 | (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) |
| ✓ | cost-diff | 160 | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i))) |
| ✓ | cost-diff | 96 | (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))) |
| ✓ | cost-diff | 96 | (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) |
| ✓ | cost-diff | 160 | (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) |
| ✓ | cost-diff | 160 | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))))) (*.f32 u n1_i))) |
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) |
| ✓ | cost-diff | 64 | (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))) |
| ✓ | cost-diff | 96 | (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)) |
| ✓ | cost-diff | 160 | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) |
| ✓ | cost-diff | 0 | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
| ✓ | cost-diff | 96 | (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))) |
| ✓ | cost-diff | 96 | (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) |
| ✓ | cost-diff | 160 | (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) |
| ✓ | cost-diff | 320 | (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle))))) |
| 13 864× | accelerator-lowering-fma.f32 |
| 13 864× | accelerator-lowering-fma.f64 |
| 5 198× | *-lowering-*.f32 |
| 5 198× | *-lowering-*.f64 |
| 3 272× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 1078 |
| 1 | 261 | 1066 |
| 2 | 1033 | 1036 |
| 3 | 5508 | 986 |
| 0 | 8290 | 903 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* u (+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))))) n0_i) |
u |
(+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))) |
(- n1_i n0_i) |
n1_i |
n0_i |
(+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))) |
(* normAngle normAngle) |
normAngle |
(+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6)) |
(+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) |
(+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) |
-1/24 |
(* -1/120 (- n1_i n0_i)) |
-1/120 |
(* -1/36 (+ (* n0_i -2) (neg n1_i))) |
-1/36 |
(+ (* n0_i -2) (neg n1_i)) |
-2 |
(neg n1_i) |
(* (+ (* n0_i -2) (neg n1_i)) -1/6) |
-1/6 |
(* -1/2 (* n0_i (* u (* normAngle normAngle)))) |
-1/2 |
(* n0_i (* u (* normAngle normAngle))) |
(* u (* normAngle normAngle)) |
(* n0_i (- 1 u)) |
n0_i |
(- 1 u) |
1 |
u |
(+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u))))))) |
n0_i |
(- 1 u) |
1 |
u |
(* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))))) |
(* normAngle normAngle) |
normAngle |
(* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u))))) |
-1/6 |
(* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u))) |
(* (- 1 u) (- 1 u)) |
(- 0 (- 1 u)) |
0 |
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))))) (* u n1_i))) |
n0_i |
(- 1 u) |
1 |
u |
(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))))) (* u n1_i)) |
(* normAngle normAngle) |
normAngle |
(+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))))) |
-1/6 |
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1)))) |
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) |
(* (- 1 u) (- 1 u)) |
-1 |
(* n1_i (* u (+ (* u u) -1))) |
n1_i |
(* u (+ (* u u) -1)) |
(+ (* u u) -1) |
(* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))) |
(* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))) |
(+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) |
(+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) |
-1/24 |
(* -1/120 (- n1_i n0_i)) |
-1/120 |
(- n1_i n0_i) |
(* -1/36 (+ (* n0_i -2) (neg n1_i))) |
-1/36 |
(+ (* n0_i -2) (neg n1_i)) |
-2 |
(neg n1_i) |
(* u n1_i) |
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i))) |
n0_i |
(- 1 u) |
1 |
u |
(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)) |
(* normAngle normAngle) |
normAngle |
(+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))))) |
-1/6 |
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1)))) |
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) |
(* (- 1 u) (- 1 u)) |
-1 |
(* n1_i (* u (+ (* u u) -1))) |
n1_i |
(* u (+ (* u u) -1)) |
(+ (* u u) -1) |
(* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))) |
(* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))) |
(+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)) |
1/120 |
(- (pow (- 1 u) 5) (- 1 u)) |
(pow (- 1 u) 5) |
5 |
(+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) |
-1/36 |
1/36 |
(* u n1_i) |
| Outputs |
|---|
(+ (* u (+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))))) n0_i) |
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 u (*.f32 n0_i #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))) (-.f32 n1_i n0_i)) n0_i) |
u |
(+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))) |
(fma.f32 normAngle (*.f32 normAngle (fma.f32 u (*.f32 n0_i #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))) (-.f32 n1_i n0_i)) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
n1_i |
n0_i |
(+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 n0_i #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) |
(+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) |
(fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))) |
(+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) |
(fma.f32 n1_i #s(literal -1/120 binary32) (*.f32 n0_i #s(literal -1/30 binary32))) |
-1/24 |
#s(literal -1/24 binary32) |
(* -1/120 (- n1_i n0_i)) |
(*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) |
-1/120 |
#s(literal -1/120 binary32) |
(* -1/36 (+ (* n0_i -2) (neg n1_i))) |
(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n1_i #s(literal 1/36 binary32))) |
-1/36 |
#s(literal -1/36 binary32) |
(+ (* n0_i -2) (neg n1_i)) |
(-.f32 (fma.f32 n0_i #s(literal -2 binary32) #s(literal 0 binary32)) n1_i) |
-2 |
#s(literal -2 binary32) |
(neg n1_i) |
(neg.f32 n1_i) |
(* (+ (* n0_i -2) (neg n1_i)) -1/6) |
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) |
-1/6 |
#s(literal -1/6 binary32) |
(* -1/2 (* n0_i (* u (* normAngle normAngle)))) |
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))) |
-1/2 |
#s(literal -1/2 binary32) |
(* n0_i (* u (* normAngle normAngle))) |
(*.f32 u (*.f32 n0_i (*.f32 normAngle normAngle))) |
(* u (* normAngle normAngle)) |
(*.f32 u (*.f32 normAngle normAngle)) |
(* n0_i (- 1 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
n0_i |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
(+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u))))))) |
(*.f32 n0_i (fma.f32 normAngle (*.f32 (*.f32 normAngle #s(literal -1/6 binary32)) (fma.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)) #s(literal 0 binary32))) (-.f32 #s(literal 1 binary32) u))) |
n0_i |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
(* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))))) |
(*.f32 n0_i (*.f32 normAngle (*.f32 (*.f32 normAngle #s(literal -1/6 binary32)) (fma.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)) #s(literal 0 binary32))))) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u))))) |
(*.f32 n0_i (*.f32 #s(literal -1/6 binary32) (fma.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)) #s(literal 0 binary32)))) |
-1/6 |
#s(literal -1/6 binary32) |
(* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))) |
(*.f32 n0_i (fma.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)) #s(literal 0 binary32))) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u))) |
(fma.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)) #s(literal 0 binary32)) |
(* (- 1 u) (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
(- 0 (- 1 u)) |
(+.f32 u #s(literal -1 binary32)) |
0 |
#s(literal 0 binary32) |
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))))) (* u n1_i))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))) (*.f32 (fma.f32 u u #s(literal -1 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) (*.f32 n0_i (*.f32 #s(literal -1/6 binary32) (fma.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)) #s(literal 0 binary32))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
n0_i |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))))) (* u n1_i)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))) (*.f32 (fma.f32 u u #s(literal -1 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) (*.f32 n0_i (*.f32 #s(literal -1/6 binary32) (fma.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)) #s(literal 0 binary32))))) (*.f32 u n1_i)) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))) (*.f32 (fma.f32 u u #s(literal -1 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) (*.f32 n0_i (*.f32 #s(literal -1/6 binary32) (fma.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)) #s(literal 0 binary32))))) |
-1/6 |
#s(literal -1/6 binary32) |
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1)))) |
(fma.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 (fma.f32 u u #s(literal -1 binary32)) (*.f32 u n1_i) #s(literal 0 binary32))) |
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u) |
(fma.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)) #s(literal 0 binary32)) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) |
(* (- 1 u) (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
-1 |
#s(literal -1 binary32) |
(* n1_i (* u (+ (* u u) -1))) |
(fma.f32 (fma.f32 u u #s(literal -1 binary32)) (*.f32 u n1_i) #s(literal 0 binary32)) |
n1_i |
(* u (+ (* u u) -1)) |
(fma.f32 u (fma.f32 u u #s(literal -1 binary32)) #s(literal 0 binary32)) |
(+ (* u u) -1) |
(fma.f32 u u #s(literal -1 binary32)) |
(* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))) |
(*.f32 u (*.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))))) |
(* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))) |
(*.f32 u (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32))))) |
(+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) |
(fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))) |
(+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) |
(fma.f32 n1_i #s(literal -1/120 binary32) (*.f32 n0_i #s(literal -1/30 binary32))) |
-1/24 |
#s(literal -1/24 binary32) |
(* -1/120 (- n1_i n0_i)) |
(*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) |
-1/120 |
#s(literal -1/120 binary32) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(* -1/36 (+ (* n0_i -2) (neg n1_i))) |
(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n1_i #s(literal 1/36 binary32))) |
-1/36 |
#s(literal -1/36 binary32) |
(+ (* n0_i -2) (neg n1_i)) |
(-.f32 (fma.f32 n0_i #s(literal -2 binary32) #s(literal 0 binary32)) n1_i) |
-2 |
#s(literal -2 binary32) |
(neg n1_i) |
(neg.f32 n1_i) |
(* u n1_i) |
(*.f32 u n1_i) |
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (+.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) #s(literal 1/36 binary32))) (*.f32 #s(literal -1/6 binary32) (fma.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)) #s(literal 0 binary32)))) (*.f32 u (*.f32 n1_i (*.f32 #s(literal -1/6 binary32) (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
n0_i |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (+.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) #s(literal 1/36 binary32))) (*.f32 #s(literal -1/6 binary32) (fma.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)) #s(literal 0 binary32)))) (*.f32 u (*.f32 n1_i (*.f32 #s(literal -1/6 binary32) (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 u n1_i)) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (+.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) #s(literal 1/36 binary32))) (*.f32 #s(literal -1/6 binary32) (fma.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)) #s(literal 0 binary32)))) (*.f32 u (*.f32 n1_i (*.f32 #s(literal -1/6 binary32) (fma.f32 u u #s(literal -1 binary32)))))) |
-1/6 |
#s(literal -1/6 binary32) |
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1)))) |
(fma.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 (fma.f32 u u #s(literal -1 binary32)) (*.f32 u n1_i) #s(literal 0 binary32))) |
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u) |
(fma.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)) #s(literal 0 binary32)) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) |
(* (- 1 u) (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
-1 |
#s(literal -1 binary32) |
(* n1_i (* u (+ (* u u) -1))) |
(fma.f32 (fma.f32 u u #s(literal -1 binary32)) (*.f32 u n1_i) #s(literal 0 binary32)) |
n1_i |
(* u (+ (* u u) -1)) |
(fma.f32 u (fma.f32 u u #s(literal -1 binary32)) #s(literal 0 binary32)) |
(+ (* u u) -1) |
(fma.f32 u u #s(literal -1 binary32)) |
(* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (+.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) #s(literal 1/36 binary32))))) |
(* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))) |
(*.f32 n0_i (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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (+.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) #s(literal 1/36 binary32)))) |
(+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)) |
(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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (+.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) #s(literal 1/36 binary32))) |
1/120 |
#s(literal 1/120 binary32) |
(- (pow (- 1 u) 5) (- 1 u)) |
(+.f32 u (+.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) |
(pow (- 1 u) 5) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) |
5 |
#s(literal 5 binary32) |
(+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36) |
(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)) u) #s(literal 1/36 binary32)) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) |
-1/36 |
#s(literal -1/36 binary32) |
1/36 |
#s(literal 1/36 binary32) |
(* u n1_i) |
(*.f32 u n1_i) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 97.2% | (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) |
| ✓ | accuracy | 63.1% | (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) |
| ✓ | accuracy | 61.7% | (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) |
| ✓ | accuracy | 60.7% | (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)) |
| ✓ | accuracy | 98.6% | (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) |
| ✓ | accuracy | 98.5% | (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) |
| ✓ | accuracy | 98.1% | (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)) |
| ✓ | accuracy | 61.7% | (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) |
| ✓ | accuracy | 99.4% | (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) |
| ✓ | accuracy | 98.9% | (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))) |
| ✓ | accuracy | 98.6% | (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
| ✓ | accuracy | 60.5% | (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))) |
| ✓ | accuracy | 100.0% | (-.f32 #s(literal 1 binary32) u) |
| ✓ | accuracy | 99.5% | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
| ✓ | accuracy | 99.1% | (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) |
| ✓ | accuracy | 98.9% | (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32)) |
| ✓ | accuracy | 98.5% | (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) |
| ✓ | accuracy | 98.1% | (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)) |
| 140.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 1 148 to 78 computations (93.2% saved)
ival-mult: 49.0ms (44.6% of total)ival-add: 22.0ms (20% of total)const: 21.0ms (19.1% of total)ival-sub: 12.0ms (10.9% of total)ival-pow: 3.0ms (2.7% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))> |
#<alt (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))> |
#<alt (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i)))> |
#<alt (* -1/36 (+ (* n0_i -2) (neg n1_i)))> |
#<alt (* n0_i (- 1 u))> |
#<alt (- 1 u)> |
#<alt (+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))))))> |
#<alt (- 0 (- 1 u))> |
#<alt (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))))) (* u n1_i)))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)))> |
#<alt (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)> |
#<alt (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))> |
#<alt (* -1/120 (- n1_i n0_i))> |
#<alt (* (+ (* n0_i -2) (neg n1_i)) -1/6)> |
#<alt (* (- 1 u) (- 1 u))> |
#<alt (* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))))> |
#<alt (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u))))> |
#<alt (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1)> |
#<alt (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)> |
#<alt (- (pow (- 1 u) 5) (- 1 u))> |
#<alt (pow (- 1 u) 5)> |
| Outputs |
|---|
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))> |
#<alt (* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))> |
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))> |
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))> |
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))> |
#<alt (* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))> |
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))> |
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))> |
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))> |
#<alt (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))> |
#<alt (+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))> |
#<alt (+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))> |
#<alt (+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))> |
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))))> |
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))> |
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))> |
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))> |
#<alt (* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))> |
#<alt (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))> |
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))> |
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))> |
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))> |
#<alt (* -1 (* n1_i (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))> |
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))> |
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (+ (* -1/120 n1_i) (* 1/36 n1_i))> |
#<alt (+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))> |
#<alt (+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))> |
#<alt (+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))> |
#<alt (* 1/45 n0_i)> |
#<alt (* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))> |
#<alt (* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))> |
#<alt (* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))> |
#<alt (* 1/45 n0_i)> |
#<alt (* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))> |
#<alt (* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))> |
#<alt (* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))> |
#<alt (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))> |
#<alt (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))> |
#<alt (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))> |
#<alt (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))> |
#<alt (* 7/360 n1_i)> |
#<alt (* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))> |
#<alt (* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))> |
#<alt (* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))> |
#<alt (* 7/360 n1_i)> |
#<alt (* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))> |
#<alt (* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))> |
#<alt (* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))> |
#<alt (* -1/120 n1_i)> |
#<alt (+ (* -1/30 n0_i) (* -1/120 n1_i))> |
#<alt (+ (* -1/30 n0_i) (* -1/120 n1_i))> |
#<alt (+ (* -1/30 n0_i) (* -1/120 n1_i))> |
#<alt (* -1/30 n0_i)> |
#<alt (* n0_i (- (* -1/120 (/ n1_i n0_i)) 1/30))> |
#<alt (* n0_i (- (* -1/120 (/ n1_i n0_i)) 1/30))> |
#<alt (* n0_i (- (* -1/120 (/ n1_i n0_i)) 1/30))> |
#<alt (* -1/30 n0_i)> |
#<alt (* -1 (* n0_i (+ 1/30 (* 1/120 (/ n1_i n0_i)))))> |
#<alt (* -1 (* n0_i (+ 1/30 (* 1/120 (/ n1_i n0_i)))))> |
#<alt (* -1 (* n0_i (+ 1/30 (* 1/120 (/ n1_i n0_i)))))> |
#<alt (+ (* -1/24 n0_i) (* 1/120 n0_i))> |
#<alt (+ (* -1/24 n0_i) (+ (* -1/120 n1_i) (* 1/120 n0_i)))> |
#<alt (+ (* -1/24 n0_i) (+ (* -1/120 n1_i) (* 1/120 n0_i)))> |
#<alt (+ (* -1/24 n0_i) (+ (* -1/120 n1_i) (* 1/120 n0_i)))> |
#<alt (* -1/120 n1_i)> |
#<alt (* n1_i (- (+ (* -1/24 (/ n0_i n1_i)) (* 1/120 (/ n0_i n1_i))) 1/120))> |
#<alt (* n1_i (- (+ (* -1/24 (/ n0_i n1_i)) (* 1/120 (/ n0_i n1_i))) 1/120))> |
#<alt (* n1_i (- (+ (* -1/24 (/ n0_i n1_i)) (* 1/120 (/ n0_i n1_i))) 1/120))> |
#<alt (* -1/120 n1_i)> |
#<alt (* -1 (* n1_i (+ 1/120 (* -1 (/ (+ (* -1/24 n0_i) (* 1/120 n0_i)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ 1/120 (* -1 (/ (+ (* -1/24 n0_i) (* 1/120 n0_i)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ 1/120 (* -1 (/ (+ (* -1/24 n0_i) (* 1/120 n0_i)) n1_i)))))> |
#<alt (* 1/36 n1_i)> |
#<alt (+ (* 1/36 n1_i) (* 1/18 n0_i))> |
#<alt (+ (* 1/36 n1_i) (* 1/18 n0_i))> |
#<alt (+ (* 1/36 n1_i) (* 1/18 n0_i))> |
#<alt (* 1/18 n0_i)> |
#<alt (* n0_i (+ 1/18 (* 1/36 (/ n1_i n0_i))))> |
#<alt (* n0_i (+ 1/18 (* 1/36 (/ n1_i n0_i))))> |
#<alt (* n0_i (+ 1/18 (* 1/36 (/ n1_i n0_i))))> |
#<alt (* 1/18 n0_i)> |
#<alt (* -1 (* n0_i (- (* -1/36 (/ n1_i n0_i)) 1/18)))> |
#<alt (* -1 (* n0_i (- (* -1/36 (/ n1_i n0_i)) 1/18)))> |
#<alt (* -1 (* n0_i (- (* -1/36 (/ n1_i n0_i)) 1/18)))> |
#<alt (* 1/18 n0_i)> |
#<alt (+ (* 1/36 n1_i) (* 1/18 n0_i))> |
#<alt (+ (* 1/36 n1_i) (* 1/18 n0_i))> |
#<alt (+ (* 1/36 n1_i) (* 1/18 n0_i))> |
#<alt (* 1/36 n1_i)> |
#<alt (* n1_i (+ 1/36 (* 1/18 (/ n0_i n1_i))))> |
#<alt (* n1_i (+ 1/36 (* 1/18 (/ n0_i n1_i))))> |
#<alt (* n1_i (+ 1/36 (* 1/18 (/ n0_i n1_i))))> |
#<alt (* 1/36 n1_i)> |
#<alt (* -1 (* n1_i (- (* -1/18 (/ n0_i n1_i)) 1/36)))> |
#<alt (* -1 (* n1_i (- (* -1/18 (/ n0_i n1_i)) 1/36)))> |
#<alt (* -1 (* n1_i (- (* -1/18 (/ n0_i n1_i)) 1/36)))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt n0_i> |
#<alt (+ n0_i (* -1 (* n0_i u)))> |
#<alt (+ n0_i (* -1 (* n0_i u)))> |
#<alt (+ n0_i (* -1 (* n0_i u)))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))> |
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))> |
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 u))> |
#<alt (+ 1 (* -1 u))> |
#<alt (+ 1 (* -1 u))> |
#<alt (* -1 u)> |
#<alt (* u (- (/ 1 u) 1))> |
#<alt (* u (- (/ 1 u) 1))> |
#<alt (* u (- (/ 1 u) 1))> |
#<alt (* -1 u)> |
#<alt (* -1 (* u (- 1 (/ 1 u))))> |
#<alt (* -1 (* u (- 1 (/ 1 u))))> |
#<alt (* -1 (* u (- 1 (/ 1 u))))> |
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))> |
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ (* -1 n0_i) (* 1/3 (* n0_i (pow normAngle 2))))))> |
#<alt (+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (pow normAngle 2)))))))> |
#<alt (+ n0_i (* u (+ (* -1 n0_i) (+ (* 1/3 (* n0_i (pow normAngle 2))) (* 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 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (* 1/3 (/ (* n0_i (pow normAngle 2)) (pow u 2)))))))> |
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (/ n0_i (pow u 3)))))))> |
#<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 (* -1/3 (* n0_i (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 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* -1/3 (* n0_i (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))> |
#<alt (* n0_i (- 1 u))> |
#<alt (+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u)))> |
#<alt (+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u)))> |
#<alt (+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u)))> |
#<alt (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))> |
#<alt (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))> |
#<alt -1> |
#<alt (- u 1)> |
#<alt (- u 1)> |
#<alt (- u 1)> |
#<alt u> |
#<alt (* u (- 1 (/ 1 u)))> |
#<alt (* u (- 1 (/ 1 u)))> |
#<alt (* u (- 1 (/ 1 u)))> |
#<alt u> |
#<alt (* -1 (* u (- (/ 1 u) 1)))> |
#<alt (* -1 (* u (- (/ 1 u) 1)))> |
#<alt (* -1 (* u (- (/ 1 u) 1)))> |
#<alt (* -2 u)> |
#<alt (* u (- (* 3 u) 2))> |
#<alt (* u (- (* u (+ 3 (* -1 u))) 2))> |
#<alt (* u (- (* u (+ 3 (* -1 u))) 2))> |
#<alt (* -1 (pow u 3))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) 1))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))> |
#<alt (* -1 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))> |
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))> |
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))> |
#<alt (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))> |
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))))> |
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))))> |
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u))))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u)))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u)))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u)))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)))) u))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))))))> |
#<alt (* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i)))))> |
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i))))))> |
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) (pow u 2)))))))> |
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (/ n0_i (pow u 3)) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) (pow u 2))))))))> |
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#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u)) (* n1_i u)))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u)) (* n1_i u)))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) (/ (* n1_i u) n0_i)))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) (/ (* n1_i u) n0_i)))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) (/ (* n1_i u) n0_i)))) u))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))> |
#<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)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))> |
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#<alt n0_i> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2)))))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))))))))> |
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#<alt (* (pow u 5) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 3))) (+ (* -1/120 (* n0_i (pow normAngle 4))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) (pow u 2))))))> |
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#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))))> |
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#<alt (* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))> |
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#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))))> |
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#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) n1_i)))))> |
#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) 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 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))> |
#<alt (* -2 u)> |
#<alt (* u (- (* 3 u) 2))> |
#<alt (* u (- (* u (+ 3 (* -1 u))) 2))> |
#<alt (* u (- (* u (+ 3 (* -1 u))) 2))> |
#<alt (* -1 (pow u 3))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) 1))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))> |
#<alt (* -1 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))> |
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))> |
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))> |
#<alt (* n1_i (* u (- (pow u 2) 1)))> |
#<alt (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1))> |
#<alt (* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1))> |
#<alt (* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))> |
#<alt (* u (+ (* -2 n0_i) (* -1 n1_i)))> |
#<alt (* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* 3 (* n0_i u)))))> |
#<alt (* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i))))))))> |
#<alt (* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i))))))))> |
#<alt (* (pow u 3) (+ n1_i (* -1 n0_i)))> |
#<alt (* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u)))))> |
#<alt (* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (* 3 (/ n0_i u)))))))> |
#<alt (* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (* 3 (/ n0_i u)))))))> |
#<alt (* -1 (* (pow u 3) (+ n0_i (* -1 n1_i))))> |
#<alt (* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i)))))> |
#<alt (* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 3 n0_i)) u))))))> |
#<alt (* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 3 n0_i)) u))))))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* n1_i (* u (- (pow u 2) 1)))> |
#<alt (* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))> |
#<alt (* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))> |
#<alt (* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))> |
#<alt (* n1_i (* u (- (pow u 2) 1)))> |
#<alt (* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))> |
#<alt (* 1/120 n0_i)> |
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))> |
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))> |
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))> |
#<alt (* -1/120 n1_i)> |
#<alt (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))> |
#<alt (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))> |
#<alt (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))> |
#<alt (* -1/120 n1_i)> |
#<alt (* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))> |
#<alt (* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))> |
#<alt (* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))> |
#<alt (* -1/120 n1_i)> |
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))> |
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))> |
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))> |
#<alt (* 1/120 n0_i)> |
#<alt (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))> |
#<alt (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))> |
#<alt (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))> |
#<alt (* 1/120 n0_i)> |
#<alt (* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))> |
#<alt (* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))> |
#<alt (* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))> |
#<alt (* 1/6 n1_i)> |
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))> |
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))> |
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))> |
#<alt (* 1/3 n0_i)> |
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))> |
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))> |
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))> |
#<alt (* 1/3 n0_i)> |
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))> |
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))> |
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))> |
#<alt (* 1/3 n0_i)> |
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))> |
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))> |
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))> |
#<alt (* 1/6 n1_i)> |
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))> |
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))> |
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))> |
#<alt (* 1/6 n1_i)> |
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))> |
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))> |
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))> |
#<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 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))> |
#<alt (* 1/3 (* n0_i u))> |
#<alt (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))> |
#<alt (* u (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))> |
#<alt (* u (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))> |
#<alt (* 1/6 (* n0_i (pow u 3)))> |
#<alt (* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* 1/6 n0_i)))> |
#<alt (* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* 1/6 n0_i) (* 1/3 (/ n0_i (pow u 2))))))> |
#<alt (* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* 1/6 n0_i) (* 1/3 (/ n0_i (pow u 2))))))> |
#<alt (* 1/6 (* n0_i (pow u 3)))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 n0_i) (* 1/2 (/ n0_i u)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/3 (/ n0_i u))) u)) (* -1/6 n0_i))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/3 (/ n0_i u))) u)) (* -1/6 n0_i))))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (* -2 (* n0_i u))> |
#<alt (* u (+ (* -2 n0_i) (* 3 (* n0_i u))))> |
#<alt (* u (+ (* -2 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))> |
#<alt (* u (+ (* -2 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))> |
#<alt (* -1 (* n0_i (pow u 3)))> |
#<alt (* (pow u 3) (+ (* -1 n0_i) (* 3 (/ n0_i u))))> |
#<alt (* (pow u 3) (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u)))))> |
#<alt (* (pow u 3) (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u)))))> |
#<alt (* -1 (* n0_i (pow u 3)))> |
#<alt (* -1 (* (pow u 3) (+ n0_i (* -3 (/ n0_i u)))))> |
#<alt (* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -2 (/ n0_i u)) (* 3 n0_i)) u)))))> |
#<alt (* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -2 (/ n0_i u)) (* 3 n0_i)) u)))))> |
#<alt (* -3 u)> |
#<alt (* u (- (* 3 u) 3))> |
#<alt (* u (- (* u (+ 3 (* -1 u))) 3))> |
#<alt (* u (- (* u (+ 3 (* -1 u))) 3))> |
#<alt (* -1 (pow u 3))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) 1))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))> |
#<alt (* -1 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))> |
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))> |
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))> |
#<alt (* 1/18 u)> |
#<alt (* u (+ 1/18 (* -1/12 u)))> |
#<alt (* u (+ 1/18 (* u (- (* 1/36 u) 1/12))))> |
#<alt (* u (+ 1/18 (* u (- (* 1/36 u) 1/12))))> |
#<alt (* 1/36 (pow u 3))> |
#<alt (* (pow u 3) (- 1/36 (* 1/12 (/ 1 u))))> |
#<alt (* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u))))> |
#<alt (* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u))))> |
#<alt (* 1/36 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- (* 1/12 (/ 1 u)) 1/36)))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36)))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36)))> |
#<alt (* -4 u)> |
#<alt (* u (- (* 10 u) 4))> |
#<alt (* u (- (* u (+ 10 (* -10 u))) 4))> |
#<alt (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))> |
#<alt (* -1 (pow u 5))> |
#<alt (* (pow u 5) (- (* 5 (/ 1 u)) 1))> |
#<alt (* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2)))))> |
#<alt (* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2)))))> |
#<alt (* -1 (pow u 5))> |
#<alt (* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u)))))> |
#<alt (* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u)))))> |
#<alt (* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u)))))> |
#<alt 1> |
#<alt (+ 1 (* -5 u))> |
#<alt (+ 1 (* u (- (* 10 u) 5)))> |
#<alt (+ 1 (* u (- (* u (+ 10 (* -10 u))) 5)))> |
#<alt (* -1 (pow u 5))> |
#<alt (* (pow u 5) (- (* 5 (/ 1 u)) 1))> |
#<alt (* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2)))))> |
#<alt (* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2)))))> |
#<alt (* -1 (pow u 5))> |
#<alt (* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u)))))> |
#<alt (* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u)))))> |
#<alt (* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u)))))> |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | n1_i | @ | -inf | (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) |
| 14.0ms | n1_i | @ | 0 | (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))) |
| 10.0ms | n1_i | @ | 0 | (+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i))) |
| 4.0ms | normAngle | @ | inf | (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))) |
| 2.0ms | normAngle | @ | 0 | (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))) |
| 1× | batch-egg-rewrite |
| 6 308× | accelerator-lowering-fma.f32 |
| 6 308× | accelerator-lowering-fma.f64 |
| 5 782× | *-lowering-*.f32 |
| 5 782× | *-lowering-*.f64 |
| 2 402× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 350 |
| 1 | 522 | 347 |
| 2 | 5422 | 347 |
| 0 | 9087 | 311 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))) |
(+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) |
(+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) |
(* -1/36 (+ (* n0_i -2) (neg n1_i))) |
(* n0_i (- 1 u)) |
(- 1 u) |
(+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u))))))) |
(- 0 (- 1 u)) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u))) |
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))))) (* u n1_i))) |
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i))) |
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u) |
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1)))) |
(* -1/120 (- n1_i n0_i)) |
(* (+ (* n0_i -2) (neg n1_i)) -1/6) |
(* (- 1 u) (- 1 u)) |
(* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u))))) |
(* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) |
(+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36) |
(- (pow (- 1 u) 5) (- 1 u)) |
(pow (- 1 u) 5) |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) |
(+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(+.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i)))))))) (fma.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) |
(+.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))))))) (*.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(pow.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 n0_i (*.f32 n0_i n0_i)) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (*.f32 normAngle (*.f32 normAngle normAngle))))) (pow.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32)))) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))))) #s(literal -1 binary32)) |
(fma.f32 normAngle (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))))) (fma.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i)))))) (fma.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) |
(fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(fma.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) |
(fma.f32 (*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i)))))) (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) |
(fma.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) |
(fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(fma.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(fma.f32 (*.f32 n0_i u) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(fma.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(fma.f32 (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 normAngle (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) |
(fma.f32 (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32)))) normAngle (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i)))) (fma.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) |
(fma.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i)))))) normAngle) normAngle (fma.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i)))))) normAngle (fma.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) n0_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(fma.f32 (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle normAngle)) u (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(fma.f32 (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(fma.f32 (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 normAngle u)) normAngle (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(-.f32 (/.f32 (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32)))))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))))) |
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(*.f32 (*.f32 (fma.f32 (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)) (+.f32 u #s(literal -1 binary32))) (fma.f32 (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)) (+.f32 u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)) (+.f32 u #s(literal -1 binary32))))) |
(exp.f32 (*.f32 #s(literal 5 binary32) (log1p.f32 (neg.f32 u)))) |
(exp.f32 (*.f32 (log.f32 (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32))) #s(literal 5/2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 u #s(literal -1 binary32)) #s(literal 5/2 binary32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 2 binary32)) #s(literal 5/2 binary32))) |
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 5/2 binary32)) #s(literal 2 binary32))) |
(exp.f32 (fma.f32 (log1p.f32 (neg.f32 u)) #s(literal 5/2 binary32) (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 5/2 binary32)))) |
(exp.f32 (fma.f32 (log1p.f32 (neg.f32 u)) #s(literal 3 binary32) (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 2 binary32)))) |
(exp.f32 (fma.f32 (log1p.f32 (neg.f32 u)) #s(literal 2 binary32) (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 3 binary32)))) |
(pow.f32 (+.f32 u #s(literal -1 binary32)) #s(literal 5 binary32)) |
(pow.f32 (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) #s(literal 5/2 binary32)) |
(pow.f32 (pow.f32 (+.f32 u #s(literal -1 binary32)) #s(literal 5/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 #s(literal 5 binary32)) (log1p.f32 (neg.f32 u))) |
(*.f32 (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))) |
(*.f32 (fma.f32 (+.f32 u #s(literal -1 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32))) |
(*.f32 (pow.f32 (+.f32 u #s(literal -1 binary32)) #s(literal 5/2 binary32)) (pow.f32 (+.f32 u #s(literal -1 binary32)) #s(literal 5/2 binary32))) |
| 1× | egg-herbie |
| 10 086× | accelerator-lowering-fma.f32 |
| 10 086× | accelerator-lowering-fma.f64 |
| 7 900× | +-lowering-+.f64 |
| 7 900× | +-lowering-+.f32 |
| 5 914× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 899 | 10946 |
| 1 | 3085 | 10560 |
| 0 | 8176 | 9859 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i)))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) |
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) |
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) |
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) |
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))) |
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) |
(* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) |
(* -1 (* n1_i (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))) |
(* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(+ (* -1/120 n1_i) (* 1/36 n1_i)) |
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i))) |
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i))) |
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i))) |
(* 1/45 n0_i) |
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i))))) |
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i))))) |
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i))))) |
(* 1/45 n0_i) |
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45))) |
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45))) |
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45))) |
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) |
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i)))) |
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i)))) |
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i)))) |
(* 7/360 n1_i) |
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))))) |
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))))) |
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))))) |
(* 7/360 n1_i) |
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360))) |
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360))) |
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360))) |
(* -1/120 n1_i) |
(+ (* -1/30 n0_i) (* -1/120 n1_i)) |
(+ (* -1/30 n0_i) (* -1/120 n1_i)) |
(+ (* -1/30 n0_i) (* -1/120 n1_i)) |
(* -1/30 n0_i) |
(* n0_i (- (* -1/120 (/ n1_i n0_i)) 1/30)) |
(* n0_i (- (* -1/120 (/ n1_i n0_i)) 1/30)) |
(* n0_i (- (* -1/120 (/ n1_i n0_i)) 1/30)) |
(* -1/30 n0_i) |
(* -1 (* n0_i (+ 1/30 (* 1/120 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ 1/30 (* 1/120 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ 1/30 (* 1/120 (/ n1_i n0_i))))) |
(+ (* -1/24 n0_i) (* 1/120 n0_i)) |
(+ (* -1/24 n0_i) (+ (* -1/120 n1_i) (* 1/120 n0_i))) |
(+ (* -1/24 n0_i) (+ (* -1/120 n1_i) (* 1/120 n0_i))) |
(+ (* -1/24 n0_i) (+ (* -1/120 n1_i) (* 1/120 n0_i))) |
(* -1/120 n1_i) |
(* n1_i (- (+ (* -1/24 (/ n0_i n1_i)) (* 1/120 (/ n0_i n1_i))) 1/120)) |
(* n1_i (- (+ (* -1/24 (/ n0_i n1_i)) (* 1/120 (/ n0_i n1_i))) 1/120)) |
(* n1_i (- (+ (* -1/24 (/ n0_i n1_i)) (* 1/120 (/ n0_i n1_i))) 1/120)) |
(* -1/120 n1_i) |
(* -1 (* n1_i (+ 1/120 (* -1 (/ (+ (* -1/24 n0_i) (* 1/120 n0_i)) n1_i))))) |
(* -1 (* n1_i (+ 1/120 (* -1 (/ (+ (* -1/24 n0_i) (* 1/120 n0_i)) n1_i))))) |
(* -1 (* n1_i (+ 1/120 (* -1 (/ (+ (* -1/24 n0_i) (* 1/120 n0_i)) n1_i))))) |
(* 1/36 n1_i) |
(+ (* 1/36 n1_i) (* 1/18 n0_i)) |
(+ (* 1/36 n1_i) (* 1/18 n0_i)) |
(+ (* 1/36 n1_i) (* 1/18 n0_i)) |
(* 1/18 n0_i) |
(* n0_i (+ 1/18 (* 1/36 (/ n1_i n0_i)))) |
(* n0_i (+ 1/18 (* 1/36 (/ n1_i n0_i)))) |
(* n0_i (+ 1/18 (* 1/36 (/ n1_i n0_i)))) |
(* 1/18 n0_i) |
(* -1 (* n0_i (- (* -1/36 (/ n1_i n0_i)) 1/18))) |
(* -1 (* n0_i (- (* -1/36 (/ n1_i n0_i)) 1/18))) |
(* -1 (* n0_i (- (* -1/36 (/ n1_i n0_i)) 1/18))) |
(* 1/18 n0_i) |
(+ (* 1/36 n1_i) (* 1/18 n0_i)) |
(+ (* 1/36 n1_i) (* 1/18 n0_i)) |
(+ (* 1/36 n1_i) (* 1/18 n0_i)) |
(* 1/36 n1_i) |
(* n1_i (+ 1/36 (* 1/18 (/ n0_i n1_i)))) |
(* n1_i (+ 1/36 (* 1/18 (/ n0_i n1_i)))) |
(* n1_i (+ 1/36 (* 1/18 (/ n0_i n1_i)))) |
(* 1/36 n1_i) |
(* -1 (* n1_i (- (* -1/18 (/ n0_i n1_i)) 1/36))) |
(* -1 (* n1_i (- (* -1/18 (/ n0_i n1_i)) 1/36))) |
(* -1 (* n1_i (- (* -1/18 (/ n0_i n1_i)) 1/36))) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
n0_i |
(+ n0_i (* -1 (* n0_i u))) |
(+ n0_i (* -1 (* n0_i u))) |
(+ n0_i (* -1 (* n0_i u))) |
(* -1 (* n0_i u)) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* -1 (* n0_i u)) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
1 |
(+ 1 (* -1 u)) |
(+ 1 (* -1 u)) |
(+ 1 (* -1 u)) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (- (/ 1 u) 1)) |
(* u (- (/ 1 u) 1)) |
(* -1 u) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))))) |
n0_i |
(+ n0_i (* u (+ (* -1 n0_i) (* 1/3 (* n0_i (pow normAngle 2)))))) |
(+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (pow normAngle 2))))))) |
(+ n0_i (* u (+ (* -1 n0_i) (+ (* 1/3 (* n0_i (pow normAngle 2))) (* 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 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (* 1/3 (/ (* n0_i (pow normAngle 2)) (pow u 2))))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (/ n0_i (pow u 3))))))) |
(* 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 (* -1/3 (* n0_i (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 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* -1/3 (* n0_i (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2)))))) |
(* n0_i (- 1 u)) |
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u))) |
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
-1 |
(- u 1) |
(- u 1) |
(- u 1) |
u |
(* u (- 1 (/ 1 u))) |
(* u (- 1 (/ 1 u))) |
(* u (- 1 (/ 1 u))) |
u |
(* -1 (* u (- (/ 1 u) 1))) |
(* -1 (* u (- (/ 1 u) 1))) |
(* -1 (* u (- (/ 1 u) 1))) |
(* -2 u) |
(* u (- (* 3 u) 2)) |
(* u (- (* u (+ 3 (* -1 u))) 2)) |
(* u (- (* u (+ 3 (* -1 u))) 2)) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2))))) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2))))) |
(* -1 (pow u 3)) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) |
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))) |
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))) |
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u))))) u)) |
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u)))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)))) u)) |
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u)))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)))) u)) |
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u)))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)))) u)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
n0_i |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))))))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) (pow u 2))))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (/ n0_i (pow u 3)) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_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)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) (* -1/6 (+ n1_i (* 2 n0_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) 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)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) (* -1/6 (+ n1_i (* 2 n0_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* -1/6 (* (pow normAngle 2) (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))))) |
(* (pow normAngle 4) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(* (pow normAngle 4) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))) |
(* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* -7/360 (* (pow normAngle 2) u)) (* 1/6 (* u (- (pow u 2) 1)))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -7/360 (* (pow normAngle 2) u)) (* 1/6 (* u (- (pow u 2) 1))))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -7/360 (* (pow normAngle 2) u)) (* 1/6 (* u (- (pow u 2) 1))))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -7/360 (* (pow normAngle 2) u)) (* 1/6 (* u (- (pow u 2) 1))))))))) |
(+ (* -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 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u)) (* n1_i u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u)) (* n1_i u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u)) (* n1_i u))) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) (/ (* n1_i u) n0_i)))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) (/ (* n1_i u) n0_i)))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) (/ (* n1_i u) n0_i)))) u)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
n0_i |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2)))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2)))))))))) |
(* -1/120 (* n0_i (* (pow normAngle 4) (pow u 5)))) |
(* (pow u 5) (+ (* -1/120 (* n0_i (pow normAngle 4))) (* 1/24 (/ (* n0_i (pow normAngle 4)) u)))) |
(* (pow u 5) (+ (* -1/120 (* n0_i (pow normAngle 4))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) (pow u 2))))) |
(* (pow u 5) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 3))) (+ (* -1/120 (* n0_i (pow normAngle 4))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) (pow u 2)))))) |
(* -1/120 (* n0_i (* (pow normAngle 4) (pow u 5)))) |
(* -1 (* (pow u 5) (+ (* -1/24 (/ (* n0_i (pow normAngle 4)) u)) (* 1/120 (* n0_i (pow normAngle 4)))))) |
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* n0_i (pow normAngle 4)))))) |
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2)))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* n0_i (pow normAngle 4)))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* -1/6 (* (pow normAngle 2) (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))))) |
(* n0_i (* (pow normAngle 4) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(* n0_i (* (pow normAngle 4) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 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)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) n1_i))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) n1_i))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(* -2 u) |
(* u (- (* 3 u) 2)) |
(* u (- (* u (+ 3 (* -1 u))) 2)) |
(* u (- (* u (+ 3 (* -1 u))) 2)) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2))))) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2))))) |
(* -1 (pow u 3)) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u))))) |
(* n1_i (* u (- (pow u 2) 1))) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1)) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))) |
(* u (+ (* -2 n0_i) (* -1 n1_i))) |
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* 3 (* n0_i u))))) |
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))))) |
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))))) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (* 3 (/ n0_i u))))))) |
(* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (* 3 (/ n0_i u))))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 3 n0_i)) u)))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 3 n0_i)) u)))))) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))) |
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))) |
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))))) |
(* 1/120 n0_i) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(* -1/120 n1_i) |
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120)) |
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120)) |
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120)) |
(* -1/120 n1_i) |
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))) |
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))) |
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))) |
(* -1/120 n1_i) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(* 1/120 n0_i) |
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i)))) |
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i)))) |
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i)))) |
(* 1/120 n0_i) |
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120))) |
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120))) |
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120))) |
(* 1/6 n1_i) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(* 1/3 n0_i) |
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))) |
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))) |
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))) |
(* 1/3 n0_i) |
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))) |
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))) |
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))) |
(* 1/3 n0_i) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(* 1/6 n1_i) |
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i)))) |
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i)))) |
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i)))) |
(* 1/6 n1_i) |
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6))) |
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6))) |
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6))) |
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 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* 1/3 (* n0_i u)) |
(* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i))) |
(* u (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) |
(* u (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) |
(* 1/6 (* n0_i (pow u 3))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* 1/6 n0_i))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* 1/6 n0_i) (* 1/3 (/ n0_i (pow u 2)))))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* 1/6 n0_i) (* 1/3 (/ n0_i (pow u 2)))))) |
(* 1/6 (* n0_i (pow u 3))) |
(* -1 (* (pow u 3) (+ (* -1/6 n0_i) (* 1/2 (/ n0_i u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/3 (/ n0_i u))) u)) (* -1/6 n0_i)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/3 (/ n0_i u))) u)) (* -1/6 n0_i)))) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* -2 (* n0_i u)) |
(* u (+ (* -2 n0_i) (* 3 (* n0_i u)))) |
(* u (+ (* -2 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) |
(* u (+ (* -2 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) |
(* -1 (* n0_i (pow u 3))) |
(* (pow u 3) (+ (* -1 n0_i) (* 3 (/ n0_i u)))) |
(* (pow u 3) (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(* (pow u 3) (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(* -1 (* n0_i (pow u 3))) |
(* -1 (* (pow u 3) (+ n0_i (* -3 (/ n0_i u))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -2 (/ n0_i u)) (* 3 n0_i)) u))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -2 (/ n0_i u)) (* 3 n0_i)) u))))) |
(* -3 u) |
(* u (- (* 3 u) 3)) |
(* u (- (* u (+ 3 (* -1 u))) 3)) |
(* u (- (* u (+ 3 (* -1 u))) 3)) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(* -1 (pow u 3)) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(* 1/18 u) |
(* u (+ 1/18 (* -1/12 u))) |
(* u (+ 1/18 (* u (- (* 1/36 u) 1/12)))) |
(* u (+ 1/18 (* u (- (* 1/36 u) 1/12)))) |
(* 1/36 (pow u 3)) |
(* (pow u 3) (- 1/36 (* 1/12 (/ 1 u)))) |
(* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u)))) |
(* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u)))) |
(* 1/36 (pow u 3)) |
(* -1 (* (pow u 3) (- (* 1/12 (/ 1 u)) 1/36))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36))) |
(* -4 u) |
(* u (- (* 10 u) 4)) |
(* u (- (* u (+ 10 (* -10 u))) 4)) |
(* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)) |
(* -1 (pow u 5)) |
(* (pow u 5) (- (* 5 (/ 1 u)) 1)) |
(* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2))))) |
(* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2))))) |
(* -1 (pow u 5)) |
(* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u))))) |
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u))))) |
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u))))) |
1 |
(+ 1 (* -5 u)) |
(+ 1 (* u (- (* 10 u) 5))) |
(+ 1 (* u (- (* u (+ 10 (* -10 u))) 5))) |
(* -1 (pow u 5)) |
(* (pow u 5) (- (* 5 (/ 1 u)) 1)) |
(* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2))))) |
(* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2))))) |
(* -1 (pow u 5)) |
(* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u))))) |
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u))))) |
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u))))) |
| Outputs |
|---|
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) |
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) |
(*.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (pow.f32 normAngle #s(literal 4 binary32))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32))))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32))))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32))))))) |
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) |
(*.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (pow.f32 normAngle #s(literal 4 binary32))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32))))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32))))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32))))))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) |
(*.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)))) |
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 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))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) |
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 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))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) |
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 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))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))) |
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))) |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))) |
(neg.f32 (*.f32 n0_i (fma.f32 (neg.f32 (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))) |
(neg.f32 (*.f32 n0_i (fma.f32 (neg.f32 (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))) |
(neg.f32 (*.f32 n0_i (fma.f32 (neg.f32 (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32)))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) |
(fma.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) |
(fma.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) |
(fma.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)))) |
(* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) |
(*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (/.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)) n1_i))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (/.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)) n1_i))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (/.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)) n1_i))) |
(* -1 (* n1_i (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))) |
(neg.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))) |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) (neg.f32 n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))) |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) (neg.f32 n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))) |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) (neg.f32 n1_i))) (neg.f32 n1_i)) |
(* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) u) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) |
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) u) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)))) |
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n0_i |
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-1 |
#s(literal -1 binary32) |
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(* u (- 1 (/ 1 u))) |
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(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i))) |
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i))) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u))))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u))) |
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u)))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)))) u)) |
(*.f32 n0_i (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) n0_i) (/.f32 (*.f32 u n1_i) n0_i))) (-.f32 #s(literal 1 binary32) u))) |
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u)))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)))) u)) |
(*.f32 n0_i (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) n0_i) (/.f32 (*.f32 u n1_i) n0_i))) (-.f32 #s(literal 1 binary32) u))) |
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u)))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)))) u)) |
(*.f32 n0_i (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) n0_i) (/.f32 (*.f32 u n1_i) n0_i))) (-.f32 #s(literal 1 binary32) u))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))) |
(*.f32 (neg.f32 n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/45 binary32) (fma.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)) u) #s(literal -1/6 binary32))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
(*.f32 n0_i (neg.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/45 binary32) (fma.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)) u) #s(literal -1/6 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i)) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u)))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
(*.f32 n0_i (neg.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/45 binary32) (fma.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)) u) #s(literal -1/6 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i)) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u)))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
(*.f32 n0_i (neg.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/45 binary32) (fma.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)) u) #s(literal -1/6 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i)) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u)))) |
n0_i |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.f32 n1_i n0_i)) n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))))))) |
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u) (neg.f32 n0_i)))) n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))))))) |
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (fma.f32 u (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u (-.f32 n1_i n0_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (neg.f32 n0_i)))) n0_i) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i))))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 n1_i n0_i))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) u))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) (pow u 2))))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 u u)) (/.f32 n1_i (*.f32 u u))))) (/.f32 n0_i (*.f32 u u)))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (/ n0_i (pow u 3)) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) (pow u 2)))))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.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 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.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)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n0_i n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) (* -1/6 (+ n1_i (* 2 n0_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(*.f32 (neg.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 -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal 2 binary32) n0_i n1_i) (*.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (neg.f32 (*.f32 normAngle normAngle)))) (-.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)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) (* -1/6 (+ n1_i (* 2 n0_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) 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 -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (/.f32 (+.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal 2 binary32) n0_i n1_i) (*.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (neg.f32 (*.f32 normAngle normAngle)))) (-.f32 #s(literal 0 binary32) (/.f32 n0_i u))) n1_i)) (neg.f32 u))) (neg.f32 u))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(+ (* -1/6 (* (pow normAngle 2) (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.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 (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32))))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.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 (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32))))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.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))) |
(* (pow normAngle 4) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) |
(*.f32 (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) u) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 u n1_i) (pow.f32 normAngle #s(literal 4 binary32))))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 u n1_i) (pow.f32 normAngle #s(literal 4 binary32))))))) |
(* (pow normAngle 4) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) |
(*.f32 (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) u) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 u n1_i) (pow.f32 normAngle #s(literal 4 binary32))))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 u n1_i) (pow.f32 normAngle #s(literal 4 binary32))))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))))) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u)) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i))))) |
(*.f32 n1_i (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32)))))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i))))) |
(*.f32 n1_i (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32)))))))) |
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i))))) |
(*.f32 n1_i (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32)))))))) |
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* -7/360 (* (pow normAngle 2) u)) (* 1/6 (* u (- (pow u 2) 1)))))))) |
(*.f32 (neg.f32 n1_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -7/360 binary32))) (neg.f32 u))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -7/360 (* (pow normAngle 2) u)) (* 1/6 (* u (- (pow u 2) 1))))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -7/360 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (neg.f32 n1_i))) u)) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -7/360 (* (pow normAngle 2) u)) (* 1/6 (* u (- (pow u 2) 1))))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -7/360 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (neg.f32 n1_i))) u)) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -7/360 (* (pow normAngle 2) u)) (* 1/6 (* u (- (pow u 2) 1))))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -7/360 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (neg.f32 n1_i))) u)) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u)) (* n1_i u))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u)) (* n1_i u))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u)) (* n1_i u))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i))) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u))) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) (/ (* n1_i u) n0_i)))) u)) |
(*.f32 n0_i (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32)))) n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (fma.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)) u) #s(literal 1/6 binary32))) (/.f32 (*.f32 u n1_i) n0_i))) (-.f32 #s(literal 1 binary32) u))) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) (/ (* n1_i u) n0_i)))) u)) |
(*.f32 n0_i (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32)))) n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (fma.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)) u) #s(literal 1/6 binary32))) (/.f32 (*.f32 u n1_i) n0_i))) (-.f32 #s(literal 1 binary32) u))) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) (/ (* n1_i u) n0_i)))) u)) |
(*.f32 n0_i (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32)))) n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (fma.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)) u) #s(literal 1/6 binary32))) (/.f32 (*.f32 u n1_i) n0_i))) (-.f32 #s(literal 1 binary32) u))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))) |
(neg.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (neg.f32 (*.f32 normAngle normAngle)) (fma.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)) u) #s(literal -1/6 binary32))) (-.f32 #s(literal 0 binary32) (-.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)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
(neg.f32 (*.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (neg.f32 (*.f32 normAngle normAngle)) (fma.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)) u) #s(literal -1/6 binary32))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)) (neg.f32 n0_i))) (-.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)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
(neg.f32 (*.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (neg.f32 (*.f32 normAngle normAngle)) (fma.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)) u) #s(literal -1/6 binary32))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)) (neg.f32 n0_i))) (-.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)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
(neg.f32 (*.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (neg.f32 (*.f32 normAngle normAngle)) (fma.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)) u) #s(literal -1/6 binary32))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u)))) |
n0_i |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))))))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (-.f32 n1_i n0_i)) n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2)))))))))) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)))) n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2)))))))))) |
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/18 binary32))) (*.f32 #s(literal -1/2 binary32) n0_i))) (neg.f32 n0_i)))) n0_i) |
(* -1/120 (* n0_i (* (pow normAngle 4) (pow u 5)))) |
(*.f32 #s(literal -1/120 binary32) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (pow.f32 u #s(literal 5 binary32)))) |
(* (pow u 5) (+ (* -1/120 (* n0_i (pow normAngle 4))) (* 1/24 (/ (* n0_i (pow normAngle 4)) u)))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (/.f32 (pow.f32 normAngle #s(literal 4 binary32)) u)) (*.f32 (*.f32 #s(literal -1/120 binary32) n0_i) (pow.f32 normAngle #s(literal 4 binary32))))) |
(* (pow u 5) (+ (* -1/120 (* n0_i (pow normAngle 4))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) (pow u 2))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/18 binary32))) (*.f32 u u)) (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (/.f32 (pow.f32 normAngle #s(literal 4 binary32)) u)) (*.f32 (*.f32 #s(literal -1/120 binary32) n0_i) (pow.f32 normAngle #s(literal 4 binary32)))))) |
(* (pow u 5) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 3))) (+ (* -1/120 (* n0_i (pow normAngle 4))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) (pow u 2)))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 u (*.f32 u u))) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/18 binary32))) (*.f32 u u)) (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (/.f32 (pow.f32 normAngle #s(literal 4 binary32)) u)) (*.f32 (*.f32 #s(literal -1/120 binary32) n0_i) (pow.f32 normAngle #s(literal 4 binary32))))))) |
(* -1/120 (* n0_i (* (pow normAngle 4) (pow u 5)))) |
(*.f32 #s(literal -1/120 binary32) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (pow.f32 u #s(literal 5 binary32)))) |
(* -1 (* (pow u 5) (+ (* -1/24 (/ (* n0_i (pow normAngle 4)) u)) (* 1/120 (* n0_i (pow normAngle 4)))))) |
(*.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 n0_i (/.f32 (pow.f32 normAngle #s(literal 4 binary32)) u)) (*.f32 (*.f32 n0_i #s(literal 1/120 binary32)) (pow.f32 normAngle #s(literal 4 binary32)))) (-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32)))) |
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* n0_i (pow normAngle 4)))))) |
(neg.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) #s(literal 1/24 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (-.f32 n0_i n1_i) (*.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)))) (neg.f32 u))) (neg.f32 u))))) |
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2)))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* n0_i (pow normAngle 4)))))) |
(neg.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (-.f32 n0_i n1_i) (*.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) u)) (neg.f32 u))) (neg.f32 u))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(+ (* -1/6 (* (pow normAngle 2) (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.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 (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.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 (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.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 (* (pow normAngle 4) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) |
(*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle))))) |
(* n0_i (* (pow normAngle 4) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) |
(*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))))) (fma.f32 n1_i (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))))) (fma.f32 n1_i (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))))) (fma.f32 n1_i (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) u) (*.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 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) u)) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) n1_i))))) |
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(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) n1_i))))) |
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(*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) |
(* -2 (* n0_i u)) |
(*.f32 (*.f32 n0_i u) #s(literal -2 binary32)) |
(* u (+ (* -2 n0_i) (* 3 (* n0_i u)))) |
(*.f32 u (fma.f32 n0_i #s(literal -2 binary32) (*.f32 (*.f32 n0_i u) #s(literal 3 binary32)))) |
(* u (+ (* -2 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) |
(*.f32 u (fma.f32 u (fma.f32 n0_i (neg.f32 u) (*.f32 n0_i #s(literal 3 binary32))) (*.f32 n0_i #s(literal -2 binary32)))) |
(* u (+ (* -2 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) |
(*.f32 u (fma.f32 u (fma.f32 n0_i (neg.f32 u) (*.f32 n0_i #s(literal 3 binary32))) (*.f32 n0_i #s(literal -2 binary32)))) |
(* -1 (* n0_i (pow u 3))) |
(*.f32 n0_i (neg.f32 (*.f32 u (*.f32 u u)))) |
(* (pow u 3) (+ (* -1 n0_i) (* 3 (/ n0_i u)))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (neg.f32 n0_i))) |
(* (pow u 3) (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 #s(literal -2 binary32) (/.f32 n0_i (*.f32 u u)) (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (neg.f32 n0_i)))) |
(* (pow u 3) (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 #s(literal -2 binary32) (/.f32 n0_i (*.f32 u u)) (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (neg.f32 n0_i)))) |
(* -1 (* n0_i (pow u 3))) |
(*.f32 n0_i (neg.f32 (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ n0_i (* -3 (/ n0_i u))))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (fma.f32 (/.f32 n0_i u) #s(literal -3 binary32) n0_i)) |
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -2 (/ n0_i u)) (* 3 n0_i)) u))))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (-.f32 n0_i (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 n0_i u) (*.f32 n0_i #s(literal 3 binary32))) u))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -2 (/ n0_i u)) (* 3 n0_i)) u))))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (-.f32 n0_i (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 n0_i u) (*.f32 n0_i #s(literal 3 binary32))) u))) |
(* -3 u) |
(*.f32 u #s(literal -3 binary32)) |
(* u (- (* 3 u) 3)) |
(*.f32 u (fma.f32 u #s(literal 3 binary32) #s(literal -3 binary32))) |
(* u (- (* u (+ 3 (* -1 u))) 3)) |
(*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -3 binary32))) |
(* u (- (* u (+ 3 (* -1 u))) 3)) |
(*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -3 binary32))) |
(* -1 (pow u 3)) |
(neg.f32 (*.f32 u (*.f32 u u))) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 3 binary32) u) #s(literal -1 binary32))) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 3 binary32) u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) (*.f32 u u))))) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 #s(literal 3 binary32) u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) (*.f32 u u))))) |
(* -1 (pow u 3)) |
(neg.f32 (*.f32 u (*.f32 u u))) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -3 binary32) u))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) u)) u))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) u)) u))) |
(* 1/18 u) |
(*.f32 u #s(literal 1/18 binary32)) |
(* u (+ 1/18 (* -1/12 u))) |
(*.f32 u (fma.f32 u #s(literal -1/12 binary32) #s(literal 1/18 binary32))) |
(* u (+ 1/18 (* u (- (* 1/36 u) 1/12)))) |
(*.f32 u (fma.f32 u (fma.f32 u #s(literal 1/36 binary32) #s(literal -1/12 binary32)) #s(literal 1/18 binary32))) |
(* u (+ 1/18 (* u (- (* 1/36 u) 1/12)))) |
(*.f32 u (fma.f32 u (fma.f32 u #s(literal 1/36 binary32) #s(literal -1/12 binary32)) #s(literal 1/18 binary32))) |
(* 1/36 (pow u 3)) |
(*.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u u))) |
(* (pow u 3) (- 1/36 (* 1/12 (/ 1 u)))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/12 binary32) u))) |
(* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u)))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 u u)) (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/12 binary32) u)))) |
(* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u)))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 u u)) (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/12 binary32) u)))) |
(* 1/36 (pow u 3)) |
(*.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u u))) |
(* -1 (* (pow u 3) (- (* 1/12 (/ 1 u)) 1/36))) |
(*.f32 (*.f32 u (*.f32 u u)) (neg.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) u) #s(literal -1/36 binary32)))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/18 binary32) u) #s(literal -1/12 binary32)) (neg.f32 u)) #s(literal -1/36 binary32))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/18 binary32) u) #s(literal -1/12 binary32)) (neg.f32 u)) #s(literal -1/36 binary32))) |
(* -4 u) |
(*.f32 u #s(literal -4 binary32)) |
(* u (- (* 10 u) 4)) |
(*.f32 u (fma.f32 u #s(literal 10 binary32) #s(literal -4 binary32))) |
(* u (- (* u (+ 10 (* -10 u))) 4)) |
(*.f32 u (fma.f32 u (fma.f32 u #s(literal -10 binary32) #s(literal 10 binary32)) #s(literal -4 binary32))) |
(* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)) |
(*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) |
(* -1 (pow u 5)) |
(-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32))) |
(* (pow u 5) (- (* 5 (/ 1 u)) 1)) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 5 binary32) u) #s(literal -1 binary32))) |
(* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 (/.f32 #s(literal 5 binary32) u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 10 binary32) (*.f32 u u))))) |
(* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 10 binary32) (*.f32 u (*.f32 u u))) (-.f32 (/.f32 #s(literal 5 binary32) u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 10 binary32) (*.f32 u u)))))) |
(* -1 (pow u 5)) |
(-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32))) |
(* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u))))) |
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -5 binary32) u))) |
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u))))) |
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 5 binary32) (/.f32 #s(literal -10 binary32) u)) u))) |
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u))))) |
(neg.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 5 binary32) (/.f32 (+.f32 #s(literal 10 binary32) (/.f32 #s(literal -10 binary32) u)) u)) u)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -5 u)) |
(fma.f32 u #s(literal -5 binary32) #s(literal 1 binary32)) |
(+ 1 (* u (- (* 10 u) 5))) |
(fma.f32 u (fma.f32 u #s(literal 10 binary32) #s(literal -5 binary32)) #s(literal 1 binary32)) |
(+ 1 (* u (- (* u (+ 10 (* -10 u))) 5))) |
(fma.f32 u (fma.f32 u (fma.f32 u #s(literal -10 binary32) #s(literal 10 binary32)) #s(literal -5 binary32)) #s(literal 1 binary32)) |
(* -1 (pow u 5)) |
(-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32))) |
(* (pow u 5) (- (* 5 (/ 1 u)) 1)) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 5 binary32) u) #s(literal -1 binary32))) |
(* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 (/.f32 #s(literal 5 binary32) u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 10 binary32) (*.f32 u u))))) |
(* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2))))) |
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 10 binary32) (*.f32 u (*.f32 u u))) (-.f32 (/.f32 #s(literal 5 binary32) u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 10 binary32) (*.f32 u u)))))) |
(* -1 (pow u 5)) |
(-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32))) |
(* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u))))) |
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -5 binary32) u))) |
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u))))) |
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 5 binary32) (/.f32 #s(literal -10 binary32) u)) u))) |
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u))))) |
(neg.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 5 binary32) (/.f32 (+.f32 #s(literal 10 binary32) (/.f32 #s(literal -10 binary32) u)) u)) u)))) |
Compiled 197 510 to 12 742 computations (93.5% saved)
43 alts after pruning (40 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 076 | 26 | 3 102 |
| Fresh | 9 | 14 | 23 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 3 089 | 43 | 3 132 |
| Status | Accuracy | Program |
|---|---|---|
| 97.7% | (fma.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) | |
| 99.0% | (fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))) | |
| 36.1% | (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i)) | |
| 35.9% | (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)) | |
| 99.0% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.f32 n1_i n0_i)) n0_i) | |
| 98.9% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (-.f32 n1_i n0_i)) n0_i) | |
| 61.0% | (fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (neg.f32 n0_i)) n0_i) | |
| ▶ | 99.1% | (fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
| 99.0% | (fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 n0_i #s(literal -1/30 binary32)) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) | |
| 98.9% | (fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) n0_i) | |
| 98.9% | (fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i) | |
| ▶ | 97.8% | (fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i) |
| 98.1% | (fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) | |
| 97.5% | (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) | |
| 98.3% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (fma.f32 (fma.f32 (+.f32 u #s(literal -1 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) (+.f32 u #s(literal -1 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i))) | |
| ▶ | 98.8% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i))) |
| 98.7% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i u)))))) | |
| 60.8% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)))) | |
| 60.9% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/3 binary32)))))) | |
| 60.7% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u (*.f32 u u)))))) | |
| ▶ | 60.9% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
| 59.7% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 u #s(literal -1 binary32)) (*.f32 u (+.f32 u #s(literal -1 binary32)))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) | |
| 60.9% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32))))))) | |
| 97.4% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) | |
| 60.9% | (fma.f32 n0_i (neg.f32 u) n0_i) | |
| 32.1% | (/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)) | |
| 99.0% | (+.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (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 #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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 #s(literal -1/120 binary32) (neg.f32 u) #s(literal -1/120 binary32))) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32)))) #s(literal 1 binary32)) u) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)) | |
| 98.9% | (+.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)) u) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)) | |
| 7.9% | (+.f32 (neg.f32 n0_i) (*.f32 n0_i u)) | |
| 80.2% | (+.f32 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)) | |
| 80.5% | (+.f32 n0_i (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)) | |
| 77.4% | (*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 (*.f32 u (*.f32 u u)) (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (*.f32 u u)) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) (neg.f32 (*.f32 u (*.f32 u u)))) | |
| 62.6% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) | |
| 7.9% | (*.f32 (+.f32 u #s(literal -1 binary32)) n0_i) | |
| 60.7% | (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/840 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal 1/6 binary32))) n0_i) normAngle)) | |
| ✓ | 60.7% | (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
| 60.5% | (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) | |
| 35.9% | (*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u)) | |
| 36.1% | (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u)) | |
| 61.0% | (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u))) | |
| ✓ | 60.7% | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
| ▶ | 8.0% | (*.f32 n0_i (neg.f32 u)) |
| ✓ | 46.7% | n0_i |
Compiled 2 375 to 1 300 computations (45.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) |
| ✓ | cost-diff | 32 | (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) |
| ✓ | cost-diff | 64 | (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) |
| ✓ | cost-diff | 192 | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i))) |
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) |
| ✓ | cost-diff | 96 | (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)) |
| ✓ | cost-diff | 128 | (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))) |
| ✓ | cost-diff | 224 | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)) |
| ✓ | cost-diff | 0 | (-.f32 n1_i n0_i) |
| ✓ | cost-diff | 0 | (fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i) |
| ✓ | cost-diff | 128 | (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) |
| ✓ | cost-diff | -32 | (*.f32 n0_i (neg.f32 u)) |
| ✓ | cost-diff | 0 | (neg.f32 u) |
| ✓ | cost-diff | 64 | (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) |
| ✓ | cost-diff | 256 | (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) |
| ✓ | cost-diff | 320 | (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle))))) |
| ✓ | cost-diff | 544 | (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i)) |
| 14 262× | accelerator-lowering-fma.f32 |
| 14 262× | accelerator-lowering-fma.f64 |
| 5 710× | *-lowering-*.f32 |
| 5 710× | *-lowering-*.f64 |
| 3 434× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 956 |
| 1 | 308 | 944 |
| 2 | 1172 | 918 |
| 3 | 5533 | 836 |
| 0 | 8273 | 748 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* u (+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))))) n0_i) |
u |
(+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))) |
(- n1_i n0_i) |
n1_i |
n0_i |
(+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))) |
(* normAngle normAngle) |
normAngle |
(+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6)) |
(+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) |
(+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) |
-1/24 |
(/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i)) |
(* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) |
(* (+ n0_i n1_i) (- n1_i n0_i)) |
(+ n0_i n1_i) |
-1/120 |
(* -1/36 (+ (* n0_i -2) (neg n1_i))) |
-1/36 |
(+ (* n0_i -2) (neg n1_i)) |
-2 |
(neg n1_i) |
(* (+ (* n0_i -2) (neg n1_i)) -1/6) |
-1/6 |
(* -1/2 (* n0_i (* u (* normAngle normAngle)))) |
-1/2 |
(* n0_i (* u (* normAngle normAngle))) |
(* u (* normAngle normAngle)) |
(* n0_i (neg u)) |
n0_i |
(neg u) |
u |
(+ (* u (+ (- n1_i n0_i) (* (* -1/2 n0_i) (* (* normAngle normAngle) u)))) n0_i) |
u |
(+ (- n1_i n0_i) (* (* -1/2 n0_i) (* (* normAngle normAngle) u))) |
(- n1_i n0_i) |
n1_i |
n0_i |
(* (* -1/2 n0_i) (* (* normAngle normAngle) u)) |
(* -1/2 n0_i) |
-1/2 |
(* (* normAngle normAngle) u) |
(* normAngle normAngle) |
normAngle |
(+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))))))) |
n0_i |
(- 1 u) |
1 |
u |
(* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))))) |
(* normAngle normAngle) |
normAngle |
(* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))))) |
-1/6 |
(* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))) |
(+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))) |
(+ (* u -2) 1) |
-2 |
(- 0 (- 1 u)) |
0 |
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i))) |
n0_i |
(- 1 u) |
1 |
u |
(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)) |
(* normAngle normAngle) |
normAngle |
(+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))))) |
-1/6 |
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1)))) |
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) |
(* (- 1 u) (- 1 u)) |
-1 |
(* n1_i (* u (+ (* u u) -1))) |
n1_i |
(* u (+ (* u u) -1)) |
(+ (* u u) -1) |
(* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))) |
(* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))) |
(+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)) |
1/120 |
(* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4)) |
(+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4) |
(+ (* u (+ (* u 5) -10)) 10) |
(+ (* u 5) -10) |
5 |
-10 |
10 |
-4 |
(+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) |
-1/36 |
1/36 |
(* u n1_i) |
| Outputs |
|---|
(+ (* u (+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))))) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 n0_i #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/36 binary32) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1/72 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (-.f32 n1_i n0_i)) n0_i) |
u |
(+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 n0_i #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/36 binary32) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1/72 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (-.f32 n1_i n0_i)) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
n1_i |
n0_i |
(+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 n0_i #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/36 binary32) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1/72 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/36 binary32) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1/72 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) |
(+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) |
(fma.f32 n1_i #s(literal 1/36 binary32) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1/72 binary32)))) |
(+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) |
(fma.f32 #s(literal -1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1 binary32)) (*.f32 n0_i #s(literal -1/24 binary32))) |
-1/24 |
#s(literal -1/24 binary32) |
(/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i)) |
(*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) #s(literal 1 binary32)) |
(* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) |
(*.f32 (-.f32 n1_i n0_i) (*.f32 (+.f32 n1_i n0_i) #s(literal -1/120 binary32))) |
(* (+ n0_i n1_i) (- n1_i n0_i)) |
(*.f32 (-.f32 n1_i n0_i) (+.f32 n1_i n0_i)) |
(+ n0_i n1_i) |
(+.f32 n1_i n0_i) |
-1/120 |
#s(literal -1/120 binary32) |
(* -1/36 (+ (* n0_i -2) (neg n1_i))) |
(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n1_i #s(literal 1/36 binary32))) |
-1/36 |
#s(literal -1/36 binary32) |
(+ (* n0_i -2) (neg n1_i)) |
(fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) |
-2 |
#s(literal -2 binary32) |
(neg n1_i) |
(neg.f32 n1_i) |
(* (+ (* n0_i -2) (neg n1_i)) -1/6) |
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) |
-1/6 |
#s(literal -1/6 binary32) |
(* -1/2 (* n0_i (* u (* normAngle normAngle)))) |
(*.f32 u (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))) |
-1/2 |
#s(literal -1/2 binary32) |
(* n0_i (* u (* normAngle normAngle))) |
(*.f32 u (*.f32 n0_i (*.f32 normAngle normAngle))) |
(* u (* normAngle normAngle)) |
(*.f32 u (*.f32 normAngle normAngle)) |
(* n0_i (neg u)) |
(-.f32 #s(literal 0 binary32) (*.f32 u n0_i)) |
n0_i |
(neg u) |
(neg.f32 u) |
u |
(+ (* u (+ (- n1_i n0_i) (* (* -1/2 n0_i) (* (* normAngle normAngle) u)))) n0_i) |
(fma.f32 u (fma.f32 n0_i (fma.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) #s(literal -1 binary32)) n1_i) n0_i) |
u |
(+ (- n1_i n0_i) (* (* -1/2 n0_i) (* (* normAngle normAngle) u))) |
(fma.f32 n0_i (fma.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) #s(literal -1 binary32)) n1_i) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
n1_i |
n0_i |
(* (* -1/2 n0_i) (* (* normAngle normAngle) u)) |
(*.f32 u (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))) |
(* -1/2 n0_i) |
(*.f32 n0_i #s(literal -1/2 binary32)) |
-1/2 |
#s(literal -1/2 binary32) |
(* (* normAngle normAngle) u) |
(*.f32 u (*.f32 normAngle normAngle)) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))))))) |
(*.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal -2 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) u)) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 1 binary32)) u)) |
n0_i |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
(* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))))) |
(fma.f32 normAngle (fma.f32 (fma.f32 n0_i (fma.f32 #s(literal -2 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) u)) #s(literal 0 binary32)) #s(literal 0 binary32)) (*.f32 normAngle #s(literal -1/6 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))))) |
(fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (fma.f32 #s(literal -2 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) u)) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)) |
-1/6 |
#s(literal -1/6 binary32) |
(* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))) |
(fma.f32 n0_i (fma.f32 #s(literal -2 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) u)) #s(literal 0 binary32)) #s(literal 0 binary32)) |
(+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))) |
(fma.f32 #s(literal -2 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) u)) #s(literal 0 binary32)) |
(+ (* u -2) 1) |
(fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) |
-2 |
#s(literal -2 binary32) |
(- 0 (- 1 u)) |
(+.f32 u #s(literal -1 binary32)) |
0 |
#s(literal 0 binary32) |
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 u (fma.f32 (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) (*.f32 u #s(literal 1/120 binary32)) #s(literal -1/30 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)) u) #s(literal 1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.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)) #s(literal 0 binary32)))) (*.f32 u (*.f32 (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/6 binary32)))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
n0_i |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 u (fma.f32 (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) (*.f32 u #s(literal 1/120 binary32)) #s(literal -1/30 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)) u) #s(literal 1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.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)) #s(literal 0 binary32)))) (*.f32 u (*.f32 (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/6 binary32)))) (fma.f32 u n1_i #s(literal 0 binary32))) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))))) |
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 u (fma.f32 (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) (*.f32 u #s(literal 1/120 binary32)) #s(literal -1/30 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)) u) #s(literal 1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.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)) #s(literal 0 binary32)))) (*.f32 u (*.f32 (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/6 binary32)))) |
-1/6 |
#s(literal -1/6 binary32) |
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1)))) |
(fma.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))) #s(literal 0 binary32))) |
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u) |
(fma.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)) #s(literal 0 binary32)) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) |
(* (- 1 u) (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
-1 |
#s(literal -1 binary32) |
(* n1_i (* u (+ (* u u) -1))) |
(fma.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))) #s(literal 0 binary32)) |
n1_i |
(* u (+ (* u u) -1)) |
(fma.f32 u (fma.f32 u u #s(literal -1 binary32)) #s(literal 0 binary32)) |
(+ (* u u) -1) |
(fma.f32 u u #s(literal -1 binary32)) |
(* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) (*.f32 u #s(literal 1/120 binary32)) #s(literal -1/30 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)) u) #s(literal 1/36 binary32))))) |
(* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))) |
(*.f32 n0_i (fma.f32 u (fma.f32 (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) (*.f32 u #s(literal 1/120 binary32)) #s(literal -1/30 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)) u) #s(literal 1/36 binary32)))) |
(+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)) |
(fma.f32 u (fma.f32 (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) (*.f32 u #s(literal 1/120 binary32)) #s(literal -1/30 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)) u) #s(literal 1/36 binary32))) |
1/120 |
#s(literal 1/120 binary32) |
(* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4)) |
(*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) |
(+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4) |
(fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) |
(+ (* u (+ (* u 5) -10)) 10) |
(fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) |
(+ (* u 5) -10) |
(fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) |
5 |
#s(literal 5 binary32) |
-10 |
#s(literal -10 binary32) |
10 |
#s(literal 10 binary32) |
-4 |
#s(literal -4 binary32) |
(+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36) |
(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)) u) #s(literal 1/36 binary32)) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) |
-1/36 |
#s(literal -1/36 binary32) |
1/36 |
#s(literal 1/36 binary32) |
(* u n1_i) |
(fma.f32 u n1_i #s(literal 0 binary32)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.6% | (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) |
| ✓ | accuracy | 97.3% | (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) |
| ✓ | accuracy | 61.7% | (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) |
| ✓ | accuracy | 60.7% | (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)) |
| ✓ | accuracy | 99.5% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
| ✓ | accuracy | 99.3% | (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) |
| ✓ | accuracy | 99.1% | (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))) |
| ✓ | accuracy | 60.5% | (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))) |
| ✓ | accuracy | 100.0% | (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) |
| ✓ | accuracy | 99.9% | (fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i) |
| ✓ | accuracy | 99.9% | (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)) |
| ✓ | accuracy | 99.7% | (*.f32 (*.f32 normAngle normAngle) u) |
| ✓ | accuracy | 100.0% | (*.f32 n0_i (neg.f32 u)) |
| ✓ | accuracy | 100.0% | (neg.f32 u) |
| ✓ | accuracy | 98.9% | (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32)) |
| ✓ | accuracy | 98.7% | (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) |
| ✓ | accuracy | 98.5% | (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) |
| ✓ | accuracy | 78.6% | (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i)) |
| 249.0ms | 254× | 0 | valid |
| 2.0ms | 2× | 2 | valid |
Compiled 956 to 94 computations (90.2% saved)
ival-mult: 96.0ms (58.9% of total)ival-add: 39.0ms (23.9% of total)const: 18.0ms (11% of total)ival-sub: 4.0ms (2.5% of total)ival-div: 2.0ms (1.2% of total)ival-neg: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))> |
#<alt (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))> |
#<alt (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))> |
#<alt (+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))))> |
#<alt (neg u)> |
#<alt (* n0_i (neg u))> |
#<alt (+ (- n1_i n0_i) (* (* -1/2 n0_i) (* (* normAngle normAngle) u)))> |
#<alt (+ (* u (+ (- n1_i n0_i) (* (* -1/2 n0_i) (* (* normAngle normAngle) u)))) n0_i)> |
#<alt (- n1_i n0_i)> |
#<alt (* (* -1/2 n0_i) (* (* normAngle normAngle) u))> |
#<alt (+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))))))> |
#<alt (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))> |
#<alt (- 0 (- 1 u))> |
#<alt (- 1 u)> |
#<alt (+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)))> |
#<alt (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)> |
#<alt (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))> |
#<alt (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120)> |
#<alt (* (+ (* n0_i -2) (neg n1_i)) -1/6)> |
#<alt (* (* normAngle normAngle) u)> |
#<alt (* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))))> |
#<alt (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))))> |
#<alt (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)> |
#<alt (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1)> |
#<alt (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))> |
| Outputs |
|---|
#<alt (* -1/120 n1_i)> |
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))> |
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))> |
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))> |
#<alt (* 1/120 n0_i)> |
#<alt (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))> |
#<alt (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))> |
#<alt (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))> |
#<alt (* 1/120 n0_i)> |
#<alt (* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))> |
#<alt (* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))> |
#<alt (* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))> |
#<alt (* 1/120 n0_i)> |
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))> |
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))> |
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))> |
#<alt (* -1/120 n1_i)> |
#<alt (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))> |
#<alt (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))> |
#<alt (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))> |
#<alt (* -1/120 n1_i)> |
#<alt (* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))> |
#<alt (* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))> |
#<alt (* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))> |
#<alt (* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))> |
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))> |
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))> |
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))> |
#<alt (* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))> |
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))> |
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))> |
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))> |
#<alt (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))> |
#<alt (+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))> |
#<alt (+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))> |
#<alt (+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))> |
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))))> |
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))> |
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))> |
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))> |
#<alt (* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))> |
#<alt (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))> |
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))> |
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))> |
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))> |
#<alt (* -1 (* n1_i (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))> |
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))> |
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))> |
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (+ (* -1/120 n1_i) (* 1/36 n1_i))> |
#<alt (+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))> |
#<alt (+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))> |
#<alt (+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))> |
#<alt (* 1/45 n0_i)> |
#<alt (* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))> |
#<alt (* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))> |
#<alt (* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))> |
#<alt (* 1/45 n0_i)> |
#<alt (* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))> |
#<alt (* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))> |
#<alt (* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))> |
#<alt (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))> |
#<alt (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))> |
#<alt (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))> |
#<alt (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))> |
#<alt (* 7/360 n1_i)> |
#<alt (* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))> |
#<alt (* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))> |
#<alt (* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))> |
#<alt (* 7/360 n1_i)> |
#<alt (* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))> |
#<alt (* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))> |
#<alt (* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))> |
#<alt (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i)> |
#<alt (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i)> |
#<alt (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i)> |
#<alt (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i)> |
#<alt (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))> |
#<alt (* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i)))> |
#<alt (* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i)))> |
#<alt (* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i)))> |
#<alt (* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))> |
#<alt (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))> |
#<alt (+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))> |
#<alt (+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))> |
#<alt (+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))> |
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1))> |
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1))> |
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1))> |
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))))> |
#<alt (- n1_i n0_i)> |
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i))))) n0_i)> |
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)> |
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)> |
#<alt (* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))> |
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))> |
#<alt (* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4))))> |
#<alt (* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4))))> |
#<alt (* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))> |
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))> |
#<alt (* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4))))> |
#<alt (* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4))))> |
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i)> |
#<alt (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)> |
#<alt (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)> |
#<alt (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u)))> |
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u)))> |
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1 u)> |
#<alt (* -1 u)> |
#<alt (* -1 u)> |
#<alt (* -1 u)> |
#<alt (* -1 u)> |
#<alt (* -1 u)> |
#<alt (* -1 u)> |
#<alt (* -1 u)> |
#<alt (* -1 u)> |
#<alt (* -1 u)> |
#<alt (* -1 u)> |
#<alt (* -1 u)> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* n0_i u))> |
#<alt (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)> |
#<alt (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)> |
#<alt (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)> |
#<alt (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)> |
#<alt n1_i> |
#<alt (* n1_i (- (+ 1 (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))) (/ n0_i n1_i)))> |
#<alt (* n1_i (- (+ 1 (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))) (/ n0_i n1_i)))> |
#<alt (* n1_i (- (+ 1 (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))) (/ n0_i n1_i)))> |
#<alt n1_i> |
#<alt (* -1 (* n1_i (- (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) n1_i)) 1)))> |
#<alt (* -1 (* n1_i (- (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) n1_i)) 1)))> |
#<alt (* -1 (* n1_i (- (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) n1_i)) 1)))> |
#<alt n1_i> |
#<alt (+ n1_i (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1)))> |
#<alt (+ n1_i (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1)))> |
#<alt (+ n1_i (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1)))> |
#<alt (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1))> |
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ n1_i n0_i)) 1))> |
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ n1_i n0_i)) 1))> |
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ n1_i n0_i)) 1))> |
#<alt (* -1 (* n0_i (+ 1 (* 1/2 (* (pow normAngle 2) u)))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* 1/2 (* (pow normAngle 2) u))))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* 1/2 (* (pow normAngle 2) u))))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* 1/2 (* (pow normAngle 2) u))))))> |
#<alt (- n1_i n0_i)> |
#<alt (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)> |
#<alt (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)> |
#<alt (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))> |
#<alt (- n1_i n0_i)> |
#<alt (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)> |
#<alt (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)> |
#<alt (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u)))> |
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u)))> |
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))> |
#<alt (* -1 (* u (+ (* -1 (/ (- n1_i n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (- n1_i n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt (* -1 (* u (+ (* -1 (/ (- n1_i n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (- n1_i n0_i)))> |
#<alt (+ n0_i (* u (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)))> |
#<alt (+ n0_i (* u (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))> |
#<alt (* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u)))> |
#<alt (* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ n1_i u))) (/ n0_i u)))> |
#<alt (* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ n1_i u))) (/ n0_i u)))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))> |
#<alt (* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u)))> |
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))> |
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))> |
#<alt (+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)))> |
#<alt (+ n0_i (+ (* n1_i u) (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))))> |
#<alt (+ n0_i (+ (* n1_i u) (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))))> |
#<alt (+ n0_i (+ (* n1_i u) (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))))> |
#<alt (* n1_i u)> |
#<alt (* n1_i (+ u (+ (/ n0_i n1_i) (/ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)) n1_i))))> |
#<alt (* n1_i (+ u (+ (/ n0_i n1_i) (/ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)) n1_i))))> |
#<alt (* n1_i (+ u (+ (/ n0_i n1_i) (/ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)) n1_i))))> |
#<alt (* n1_i u)> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))) n1_i)))))> |
#<alt (* n1_i u)> |
#<alt (+ (* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)))) (* n1_i u))> |
#<alt (+ (* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)))) (* n1_i u))> |
#<alt (+ (* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)))) (* n1_i u))> |
#<alt (* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) 1))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)) (/ (* n1_i u) n0_i))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)) (/ (* n1_i u) n0_i))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)) (/ (* n1_i u) n0_i))))> |
#<alt (* -1 (* n0_i (- (* u (+ 1 (* 1/2 (* (pow normAngle 2) u)))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i u) n0_i)) (* u (+ 1 (* 1/2 (* (pow normAngle 2) u))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i u) n0_i)) (* u (+ 1 (* 1/2 (* (pow normAngle 2) u))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i u) n0_i)) (* u (+ 1 (* 1/2 (* (pow normAngle 2) u))))) 1)))> |
#<alt (+ n0_i (* u (- n1_i n0_i)))> |
#<alt (+ n0_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) (* u (- n1_i n0_i))))> |
#<alt (+ n0_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) (* u (- n1_i n0_i))))> |
#<alt (+ n0_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) (* u (- n1_i n0_i))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* -1 n0_i)> |
#<alt (- n1_i n0_i)> |
#<alt (- n1_i n0_i)> |
#<alt (- n1_i n0_i)> |
#<alt n1_i> |
#<alt (* n1_i (+ 1 (* -1 (/ n0_i n1_i))))> |
#<alt (* n1_i (+ 1 (* -1 (/ n0_i n1_i))))> |
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#<alt (* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))) (/ (* n1_i u) n0_i)))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))) (/ (* n1_i u) n0_i)))) u))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))> |
#<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)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))> |
#<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)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))> |
#<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)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))> |
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#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))))))))> |
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#<alt (* (pow u 4) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (+ (* 1/24 (* n0_i (pow normAngle 4))) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) u))))> |
#<alt (* (pow u 4) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (+ (* 1/24 (* n0_i (pow normAngle 4))) (+ (/ n1_i (pow u 3)) (+ (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) u) (/ (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))) (pow u 3))))))))> |
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#<alt (* (pow u 4) (+ (* -1 (/ (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2)))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))))> |
#<alt (* (pow u 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* 2 n0_i))) (* -1/45 (* n0_i (pow normAngle 2))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2)))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))))> |
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#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))))> |
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#<alt (* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))> |
#<alt (* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))> |
#<alt (* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))> |
#<alt (* n0_i (* (pow normAngle 4) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))> |
#<alt (* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))> |
#<alt (* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))> |
#<alt (* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))))> |
#<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)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) n1_i)))))> |
#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) n1_i)))))> |
#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) 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 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))> |
#<alt (* -2 u)> |
#<alt (* u (- (* 3 u) 2))> |
#<alt (* u (- (* u (+ 3 (* -1 u))) 2))> |
#<alt (* u (- (* u (+ 3 (* -1 u))) 2))> |
#<alt (* -1 (pow u 3))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) 1))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))> |
#<alt (* -1 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))> |
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))> |
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))> |
#<alt (* n1_i (* u (- (pow u 2) 1)))> |
#<alt (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1))> |
#<alt (* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1))> |
#<alt (* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))> |
#<alt (* u (+ (* -2 n0_i) (* -1 n1_i)))> |
#<alt (* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* 3 (* n0_i u)))))> |
#<alt (* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i))))))))> |
#<alt (* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i))))))))> |
#<alt (* (pow u 3) (+ n1_i (* -1 n0_i)))> |
#<alt (* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u)))))> |
#<alt (* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (* 3 (/ n0_i u)))))))> |
#<alt (* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (* 3 (/ n0_i u)))))))> |
#<alt (* -1 (* (pow u 3) (+ n0_i (* -1 n1_i))))> |
#<alt (* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i)))))> |
#<alt (* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 3 n0_i)) u))))))> |
#<alt (* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 3 n0_i)) u))))))> |
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))> |
#<alt (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* n1_i (* u (- (pow u 2) 1)))> |
#<alt (* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))> |
#<alt (* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))> |
#<alt (* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))> |
#<alt (* n1_i (* u (- (pow u 2) 1)))> |
#<alt (* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))> |
#<alt (* -1/120 (pow n1_i 2))> |
#<alt (+ (* -1/120 (* n0_i (+ n1_i (* -1 n1_i)))) (* -1/120 (pow n1_i 2)))> |
#<alt (+ (* -1/120 (pow n1_i 2)) (* n0_i (+ (* -1/120 (+ n1_i (* -1 n1_i))) (* 1/120 n0_i))))> |
#<alt (+ (* -1/120 (pow n1_i 2)) (* n0_i (+ (* -1/120 (+ n1_i (* -1 n1_i))) (* 1/120 n0_i))))> |
#<alt (* 1/120 (pow n0_i 2))> |
#<alt (* (pow n0_i 2) (+ 1/120 (* -1/120 (/ (+ n1_i (* -1 n1_i)) n0_i))))> |
#<alt (* (pow n0_i 2) (+ 1/120 (+ (* -1/120 (/ (+ n1_i (* -1 n1_i)) n0_i)) (* -1/120 (/ (pow n1_i 2) (pow n0_i 2))))))> |
#<alt (* (pow n0_i 2) (+ 1/120 (+ (* -1/120 (/ (+ n1_i (* -1 n1_i)) n0_i)) (* -1/120 (/ (pow n1_i 2) (pow n0_i 2))))))> |
#<alt (* 1/120 (pow n0_i 2))> |
#<alt (* (pow n0_i 2) (+ 1/120 (* 1/120 (/ (+ n1_i (* -1 n1_i)) n0_i))))> |
#<alt (* (pow n0_i 2) (+ 1/120 (* -1 (/ (+ (* -1/120 (+ n1_i (* -1 n1_i))) (* 1/120 (/ (pow n1_i 2) n0_i))) n0_i))))> |
#<alt (* (pow n0_i 2) (+ 1/120 (* -1 (/ (+ (* -1/120 (+ n1_i (* -1 n1_i))) (* 1/120 (/ (pow n1_i 2) n0_i))) n0_i))))> |
#<alt (* 1/120 (pow n0_i 2))> |
#<alt (+ (* -1/120 (* n1_i (+ n0_i (* -1 n0_i)))) (* 1/120 (pow n0_i 2)))> |
#<alt (+ (* 1/120 (pow n0_i 2)) (* n1_i (+ (* -1/120 n1_i) (* -1/120 (+ n0_i (* -1 n0_i))))))> |
#<alt (+ (* 1/120 (pow n0_i 2)) (* n1_i (+ (* -1/120 n1_i) (* -1/120 (+ n0_i (* -1 n0_i))))))> |
#<alt (* -1/120 (pow n1_i 2))> |
#<alt (* (pow n1_i 2) (- (* -1/120 (/ (+ n0_i (* -1 n0_i)) n1_i)) 1/120))> |
#<alt (* (pow n1_i 2) (- (+ (* -1/120 (/ (+ n0_i (* -1 n0_i)) n1_i)) (* 1/120 (/ (pow n0_i 2) (pow n1_i 2)))) 1/120))> |
#<alt (* (pow n1_i 2) (- (+ (* -1/120 (/ (+ n0_i (* -1 n0_i)) n1_i)) (* 1/120 (/ (pow n0_i 2) (pow n1_i 2)))) 1/120))> |
#<alt (* -1/120 (pow n1_i 2))> |
#<alt (* (pow n1_i 2) (- (* -1/120 (/ (+ n0_i (* -1 n0_i)) n1_i)) 1/120))> |
#<alt (* (pow n1_i 2) (- (* -1 (/ (+ (* -1/120 (/ (pow n0_i 2) n1_i)) (* 1/120 (+ n0_i (* -1 n0_i)))) n1_i)) 1/120))> |
#<alt (* (pow n1_i 2) (- (* -1 (/ (+ (* -1/120 (/ (pow n0_i 2) n1_i)) (* 1/120 (+ n0_i (* -1 n0_i)))) n1_i)) 1/120))> |
#<alt (* 1/6 n1_i)> |
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))> |
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))> |
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))> |
#<alt (* 1/3 n0_i)> |
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))> |
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))> |
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))> |
#<alt (* 1/3 n0_i)> |
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))> |
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))> |
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))> |
#<alt (* 1/3 n0_i)> |
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))> |
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))> |
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))> |
#<alt (* 1/6 n1_i)> |
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))> |
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))> |
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))> |
#<alt (* 1/6 n1_i)> |
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))> |
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))> |
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* (pow normAngle 2) u)> |
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))> |
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))> |
#<alt (* 1/3 (* n0_i u))> |
#<alt (* u (+ (* -1/3 (* n0_i u)) (* 1/3 n0_i)))> |
#<alt (* u (+ (* -1/3 (* n0_i u)) (* 1/3 n0_i)))> |
#<alt (* u (+ (* -1/3 (* n0_i u)) (* 1/3 n0_i)))> |
#<alt (* -1/3 (* n0_i (pow u 2)))> |
#<alt (* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))> |
#<alt (* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))> |
#<alt (* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))> |
#<alt (* -1/3 (* n0_i (pow u 2)))> |
#<alt (* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))> |
#<alt (* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))> |
#<alt (* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))> |
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))> |
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))> |
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))> |
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))> |
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))> |
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))> |
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))> |
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))> |
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))> |
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))> |
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))> |
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))> |
#<alt (* -2 (* n0_i u))> |
#<alt (* u (+ (* -2 n0_i) (* 2 (* n0_i u))))> |
#<alt (* u (+ (* -2 n0_i) (* 2 (* n0_i u))))> |
#<alt (* u (+ (* -2 n0_i) (* 2 (* n0_i u))))> |
#<alt (* 2 (* n0_i (pow u 2)))> |
#<alt (* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))> |
#<alt (* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))> |
#<alt (* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))> |
#<alt (* 2 (* n0_i (pow u 2)))> |
#<alt (* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))> |
#<alt (* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))> |
#<alt (* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))> |
#<alt (* 1/18 u)> |
#<alt (* u (+ 1/18 (* -1/12 u)))> |
#<alt (* u (+ 1/18 (* u (- (* 1/36 u) 1/12))))> |
#<alt (* u (+ 1/18 (* u (- (* 1/36 u) 1/12))))> |
#<alt (* 1/36 (pow u 3))> |
#<alt (* (pow u 3) (- 1/36 (* 1/12 (/ 1 u))))> |
#<alt (* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u))))> |
#<alt (* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u))))> |
#<alt (* 1/36 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- (* 1/12 (/ 1 u)) 1/36)))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36)))> |
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36)))> |
#<alt (* -3 u)> |
#<alt (* u (- (* 3 u) 3))> |
#<alt (* u (- (* u (+ 3 (* -1 u))) 3))> |
#<alt (* u (- (* u (+ 3 (* -1 u))) 3))> |
#<alt (* -1 (pow u 3))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) 1))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))> |
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))> |
#<alt (* -1 (pow u 3))> |
#<alt (* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))> |
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))> |
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))> |
#<alt (* 1/45 u)> |
#<alt (* u (+ 1/45 (* -1/18 (pow u 2))))> |
#<alt (* u (+ 1/45 (* (pow u 2) (- (* 1/24 u) 1/18))))> |
#<alt (* u (+ 1/45 (* (pow u 2) (- (* 1/24 u) 1/18))))> |
#<alt (* 1/24 (pow u 4))> |
#<alt (* (pow u 4) (- 1/24 (* 1/18 (/ 1 u))))> |
#<alt (* (pow u 4) (- (+ 1/24 (/ 1/45 (pow u 3))) (* 1/18 (/ 1 u))))> |
#<alt (* (pow u 4) (- (+ 1/24 (/ 1/45 (pow u 3))) (* 1/18 (/ 1 u))))> |
#<alt (* 1/24 (pow u 4))> |
#<alt (* (pow u 4) (- 1/24 (* 1/18 (/ 1 u))))> |
#<alt (* (pow u 4) (+ 1/24 (* -1 (/ (- 1/18 (* 1/45 (/ 1 (pow u 2)))) u))))> |
#<alt (* (pow u 4) (+ 1/24 (* -1 (/ (- 1/18 (* 1/45 (/ 1 (pow u 2)))) u))))> |
165 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | n0_i | @ | 0 | (+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))))))) |
| 2.0ms | u | @ | inf | (* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))))) |
| 2.0ms | n0_i | @ | 0 | (+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i))) |
| 1.0ms | n1_i | @ | 0 | (+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i))) |
| 1.0ms | normAngle | @ | inf | (+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i))) |
| 1× | batch-egg-rewrite |
| 5 662× | accelerator-lowering-fma.f32 |
| 5 662× | accelerator-lowering-fma.f64 |
| 4 978× | *-lowering-*.f32 |
| 4 978× | *-lowering-*.f64 |
| 2 410× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 441 |
| 1 | 636 | 405 |
| 2 | 6566 | 405 |
| 0 | 8173 | 363 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i)) |
(+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))) |
(+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) |
(+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))) |
(neg u) |
(* n0_i (neg u)) |
(+ (- n1_i n0_i) (* (* -1/2 n0_i) (* (* normAngle normAngle) u))) |
(+ (* u (+ (- n1_i n0_i) (* (* -1/2 n0_i) (* (* normAngle normAngle) u)))) n0_i) |
(- n1_i n0_i) |
(* (* -1/2 n0_i) (* (* normAngle normAngle) u)) |
(+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))))))) |
(+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))) |
(- 0 (- 1 u)) |
(- 1 u) |
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i))) |
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u) |
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1)))) |
(* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) |
(* (+ (* n0_i -2) (neg n1_i)) -1/6) |
(* (* normAngle normAngle) u) |
(* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))))) |
(* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))) |
(+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36) |
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) |
(+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)) |
| Outputs |
|---|
(neg.f32 (/.f32 (*.f32 (+.f32 n0_i n1_i) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) (-.f32 #s(literal 0 binary32) (+.f32 n0_i n1_i)))) |
(neg.f32 (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i))) (+.f32 n0_i n1_i))) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(/.f32 (*.f32 (+.f32 n0_i n1_i) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) (+.f32 n0_i n1_i)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) |
(/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i))) (-.f32 #s(literal 0 binary32) (+.f32 n0_i n1_i))) |
(/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) #s(literal 1 binary32)) (+.f32 n0_i n1_i)) |
(/.f32 (neg.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)))) (neg.f32 (-.f32 #s(literal 0 binary32) (+.f32 n0_i n1_i)))) |
(/.f32 (*.f32 (*.f32 (fma.f32 n0_i (+.f32 n0_i n1_i) (*.f32 n1_i n1_i)) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (fma.f32 n0_i (+.f32 n0_i n1_i) (*.f32 n1_i n1_i))) |
(*.f32 (+.f32 n0_i n1_i) (*.f32 (-.f32 n1_i n0_i) (/.f32 #s(literal -1/120 binary32) (+.f32 n0_i n1_i)))) |
(*.f32 (+.f32 n0_i n1_i) (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 n0_i n1_i)))) |
(*.f32 (+.f32 n0_i n1_i) (/.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) |
(*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) |
(*.f32 (-.f32 n1_i n0_i) (*.f32 (+.f32 n0_i n1_i) (/.f32 #s(literal -1/120 binary32) (+.f32 n0_i n1_i)))) |
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)) |
(*.f32 (*.f32 (+.f32 n0_i n1_i) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 n0_i n1_i))) |
(*.f32 #s(literal 1 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) |
(*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (+.f32 n0_i n1_i)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 n0_i n1_i)) (*.f32 (+.f32 n0_i n1_i) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)))) |
(*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) (/.f32 #s(literal -1/120 binary32) (+.f32 n0_i n1_i))) |
(*.f32 (/.f32 #s(literal -1/120 binary32) (+.f32 n0_i n1_i)) (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i))) |
(*.f32 (/.f32 (*.f32 (+.f32 n0_i n1_i) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) (fma.f32 n1_i (*.f32 n1_i n1_i) (*.f32 n0_i (*.f32 n0_i n0_i)))) (fma.f32 n0_i n0_i (*.f32 n1_i (-.f32 n1_i n0_i)))) |
(*.f32 (/.f32 (*.f32 (+.f32 n0_i n1_i) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) (*.f32 (+.f32 n0_i n1_i) (-.f32 n0_i n1_i))) (-.f32 n0_i n1_i)) |
(+.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32)))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))) |
(+.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))))) (fma.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) |
(+.f32 (fma.f32 normAngle (*.f32 (*.f32 normAngle u) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)))))))) (*.f32 (*.f32 (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32)) normAngle) normAngle)) |
(pow.f32 (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) (*.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) (-.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))))) (fma.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) (pow.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32)))) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))))) #s(literal -1 binary32)) |
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(fma.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(fma.f32 normAngle (*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32)))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))))) (fma.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) |
(fma.f32 normAngle (*.f32 (*.f32 normAngle u) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)))))) (fma.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(fma.f32 (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)))))) (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) |
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))) |
(fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
(fma.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) |
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(/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32))) (*.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)))))) (-.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32)) (*.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) (*.f32 u #s(literal 1/120 binary32))))) |
(/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) (*.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) (*.f32 u #s(literal 1/120 binary32)))) (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) (*.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) (*.f32 u #s(literal 1/120 binary32))))) #s(literal 1/1296 binary32)) (-.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) (*.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) (*.f32 u #s(literal 1/120 binary32)))) #s(literal 1/36 binary32))) |
(*.f32 (fma.f32 (*.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) (*.f32 u #s(literal 1/120 binary32))) (*.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))))) (*.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32)) (*.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)))) (*.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32)) (-.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32)) (*.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) (*.f32 u #s(literal 1/120 binary32)))))))) |
(*.f32 (*.f32 (fma.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) (*.f32 u #s(literal 1/120 binary32)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32))) (-.f32 (*.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) (*.f32 u #s(literal 1/120 binary32))) (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) (*.f32 u #s(literal 1/120 binary32))) (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32))))) |
| 1× | egg-herbie |
| 12 646× | accelerator-lowering-fma.f32 |
| 12 646× | accelerator-lowering-fma.f64 |
| 6 752× | *-lowering-*.f32 |
| 6 752× | *-lowering-*.f64 |
| 6 730× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 850 | 12544 |
| 1 | 2874 | 12033 |
| 0 | 8568 | 10998 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/120 n1_i) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(* 1/120 n0_i) |
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i)))) |
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i)))) |
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i)))) |
(* 1/120 n0_i) |
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120))) |
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120))) |
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120))) |
(* 1/120 n0_i) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(* -1/120 n1_i) |
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120)) |
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120)) |
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120)) |
(* -1/120 n1_i) |
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))) |
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))) |
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i)))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) |
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) |
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) |
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) |
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))) |
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) |
(* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) |
(* -1 (* n1_i (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))) |
(* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(+ (* -1/120 n1_i) (* 1/36 n1_i)) |
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i))) |
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i))) |
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i))) |
(* 1/45 n0_i) |
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i))))) |
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i))))) |
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i))))) |
(* 1/45 n0_i) |
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45))) |
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45))) |
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45))) |
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) |
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i)))) |
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i)))) |
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i)))) |
(* 7/360 n1_i) |
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))))) |
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))))) |
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))))) |
(* 7/360 n1_i) |
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360))) |
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360))) |
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360))) |
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) |
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i) |
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i) |
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i) |
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) |
(* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i))) |
(* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i))) |
(* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i))) |
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1))) |
(+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) |
(+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) |
(+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) |
(+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1)) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1)) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1)) |
(* -1 (* n0_i (+ 1 (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))) |
(- n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i))))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i) |
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4)))) |
(* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4)))) |
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4)))) |
(* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4)))) |
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) |
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i) |
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i) |
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u))) |
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u))) |
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* -1 u) |
(* -1 u) |
(* -1 u) |
(* -1 u) |
(* -1 u) |
(* -1 u) |
(* -1 u) |
(* -1 u) |
(* -1 u) |
(* -1 u) |
(* -1 u) |
(* -1 u) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(* -1 (* n0_i u)) |
(- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
n1_i |
(* n1_i (- (+ 1 (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))) (/ n0_i n1_i))) |
(* n1_i (- (+ 1 (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))) (/ n0_i n1_i))) |
(* n1_i (- (+ 1 (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))) (/ n0_i n1_i))) |
n1_i |
(* -1 (* n1_i (- (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) n1_i)) 1))) |
(* -1 (* n1_i (- (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) n1_i)) 1))) |
(* -1 (* n1_i (- (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) n1_i)) 1))) |
n1_i |
(+ n1_i (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1))) |
(+ n1_i (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1))) |
(+ n1_i (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1))) |
(* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1)) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ n1_i n0_i)) 1)) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ n1_i n0_i)) 1)) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ n1_i n0_i)) 1)) |
(* -1 (* n0_i (+ 1 (* 1/2 (* (pow normAngle 2) u))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* 1/2 (* (pow normAngle 2) u)))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* 1/2 (* (pow normAngle 2) u)))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* 1/2 (* (pow normAngle 2) u)))))) |
(- n1_i n0_i) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(- n1_i n0_i) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u))) |
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u))) |
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* -1 (* u (+ (* -1 (/ (- n1_i n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* -1 (* u (+ (* -1 (/ (- n1_i n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* -1 (* u (+ (* -1 (/ (- n1_i n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
n0_i |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (* u (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i))) |
(+ n0_i (* u (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i))) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u))) |
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ n1_i u))) (/ n0_i u))) |
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ n1_i u))) (/ n0_i u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2))))) |
(+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))) |
(+ n0_i (+ (* n1_i u) (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)))) |
(+ n0_i (+ (* n1_i u) (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)))) |
(+ n0_i (+ (* n1_i u) (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)))) |
(* n1_i u) |
(* n1_i (+ u (+ (/ n0_i n1_i) (/ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)) n1_i)))) |
(* n1_i (+ u (+ (/ n0_i n1_i) (/ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)) n1_i)))) |
(* n1_i (+ u (+ (/ n0_i n1_i) (/ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)) n1_i)))) |
(* n1_i u) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))) n1_i))))) |
(* n1_i u) |
(+ (* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)))) (* n1_i u)) |
(+ (* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)))) (* n1_i u)) |
(+ (* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)))) (* n1_i u)) |
(* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)))) |
(* n0_i (+ 1 (+ (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)) (/ (* n1_i u) n0_i)))) |
(* n0_i (+ 1 (+ (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)) (/ (* n1_i u) n0_i)))) |
(* n0_i (+ 1 (+ (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)) (/ (* n1_i u) n0_i)))) |
(* -1 (* n0_i (- (* u (+ 1 (* 1/2 (* (pow normAngle 2) u)))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i u) n0_i)) (* u (+ 1 (* 1/2 (* (pow normAngle 2) u))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i u) n0_i)) (* u (+ 1 (* 1/2 (* (pow normAngle 2) u))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i u) n0_i)) (* u (+ 1 (* 1/2 (* (pow normAngle 2) u))))) 1))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) (* u (- n1_i n0_i)))) |
(+ n0_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) (* u (- n1_i n0_i)))) |
(+ n0_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) (* u (- n1_i n0_i)))) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* -1 n0_i) |
(- n1_i n0_i) |
(- n1_i n0_i) |
(- n1_i n0_i) |
n1_i |
(* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) |
(* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) |
(* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) |
n1_i |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
n1_i |
(+ n1_i (* -1 n0_i)) |
(+ n1_i (* -1 n0_i)) |
(+ n1_i (* -1 n0_i)) |
(* -1 n0_i) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(* -1 n0_i) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -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))) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u)) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u)) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u)) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u)) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u)) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u)) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u)) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))))) |
n0_i |
(+ n0_i (* u (+ (* -1 n0_i) (* 1/3 (* n0_i (pow normAngle 2)))))) |
(+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/3 (* n0_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (pow normAngle 2))))))) |
(+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/3 (* n0_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (pow normAngle 2))))))) |
(* -1/3 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(* (pow u 2) (+ (* -1 (/ n0_i u)) (+ (* -1/3 (* n0_i (pow normAngle 2))) (* 1/3 (/ (* n0_i (pow normAngle 2)) u))))) |
(* (pow u 2) (+ (* -1 (/ n0_i u)) (+ (* -1/3 (* n0_i (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 2)))))) |
(* (pow u 2) (+ (* -1 (/ n0_i u)) (+ (* -1/3 (* n0_i (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 2)))))) |
(* -1/3 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(* (pow u 2) (+ (* -1 (/ (+ n0_i (* -1/3 (* n0_i (pow normAngle 2)))) u)) (* -1/3 (* n0_i (pow normAngle 2))))) |
(* (pow u 2) (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* -1/3 (* n0_i (pow normAngle 2))))) u)) (* -1/3 (* n0_i (pow normAngle 2))))) |
(* (pow u 2) (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* -1/3 (* n0_i (pow normAngle 2))))) u)) (* -1/3 (* n0_i (pow normAngle 2))))) |
(* n0_i (- 1 u)) |
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) (* n0_i (- 1 u))) |
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* -2 u) |
(* u (- (* 2 u) 2)) |
(* u (- (* 2 u) 2)) |
(* u (- (* 2 u) 2)) |
(* 2 (pow u 2)) |
(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
(* 2 (pow u 2)) |
(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
-1 |
(- u 1) |
(- u 1) |
(- u 1) |
u |
(* u (- 1 (/ 1 u))) |
(* u (- 1 (/ 1 u))) |
(* u (- 1 (/ 1 u))) |
u |
(* -1 (* u (- (/ 1 u) 1))) |
(* -1 (* u (- (/ 1 u) 1))) |
(* -1 (* u (- (/ 1 u) 1))) |
1 |
(+ 1 (* -1 u)) |
(+ 1 (* -1 u)) |
(+ 1 (* -1 u)) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (- (/ 1 u) 1)) |
(* u (- (/ 1 u) 1)) |
(* -1 u) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(+ (* -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 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) u)) (* n1_i u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) u)) (* n1_i u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) u)) (* n1_i u))) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))) (/ (* n1_i u) n0_i)))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))) (/ (* n1_i u) n0_i)))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))) (/ (* n1_i u) n0_i)))) u)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
n0_i |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2)))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2)))))))))) |
(* 1/24 (* n0_i (* (pow normAngle 4) (pow u 4)))) |
(* (pow u 4) (+ (* 1/24 (* n0_i (pow normAngle 4))) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) u))) |
(* (pow u 4) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (+ (* 1/24 (* n0_i (pow normAngle 4))) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) u)))) |
(* (pow u 4) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (+ (* 1/24 (* n0_i (pow normAngle 4))) (+ (/ n1_i (pow u 3)) (+ (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) u) (/ (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))) (pow u 3)))))))) |
(* 1/24 (* n0_i (* (pow normAngle 4) (pow u 4)))) |
(* (pow u 4) (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2))))) u)) (* 1/24 (* n0_i (pow normAngle 4))))) |
(* (pow u 4) (+ (* -1 (/ (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2)))))) u)) (* 1/24 (* n0_i (pow normAngle 4))))) |
(* (pow u 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* 2 n0_i))) (* -1/45 (* n0_i (pow normAngle 2))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2)))))) u)) (* 1/24 (* n0_i (pow normAngle 4))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* -1/6 (* (pow normAngle 2) (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))))) |
(* n0_i (* (pow normAngle 4) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(* n0_i (* (pow normAngle 4) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))))) |
(* 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)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) n1_i))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) n1_i))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(* -2 u) |
(* u (- (* 3 u) 2)) |
(* u (- (* u (+ 3 (* -1 u))) 2)) |
(* u (- (* u (+ 3 (* -1 u))) 2)) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2))))) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2))))) |
(* -1 (pow u 3)) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u))))) |
(* n1_i (* u (- (pow u 2) 1))) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1)) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i))))) |
(* u (+ (* -2 n0_i) (* -1 n1_i))) |
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* 3 (* n0_i u))))) |
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))))) |
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))))) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (* 3 (/ n0_i u))))))) |
(* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (* 3 (/ n0_i u))))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 3 n0_i)) u)))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 3 n0_i)) u)))))) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))) |
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))) |
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i))))) |
(* -1/120 (pow n1_i 2)) |
(+ (* -1/120 (* n0_i (+ n1_i (* -1 n1_i)))) (* -1/120 (pow n1_i 2))) |
(+ (* -1/120 (pow n1_i 2)) (* n0_i (+ (* -1/120 (+ n1_i (* -1 n1_i))) (* 1/120 n0_i)))) |
(+ (* -1/120 (pow n1_i 2)) (* n0_i (+ (* -1/120 (+ n1_i (* -1 n1_i))) (* 1/120 n0_i)))) |
(* 1/120 (pow n0_i 2)) |
(* (pow n0_i 2) (+ 1/120 (* -1/120 (/ (+ n1_i (* -1 n1_i)) n0_i)))) |
(* (pow n0_i 2) (+ 1/120 (+ (* -1/120 (/ (+ n1_i (* -1 n1_i)) n0_i)) (* -1/120 (/ (pow n1_i 2) (pow n0_i 2)))))) |
(* (pow n0_i 2) (+ 1/120 (+ (* -1/120 (/ (+ n1_i (* -1 n1_i)) n0_i)) (* -1/120 (/ (pow n1_i 2) (pow n0_i 2)))))) |
(* 1/120 (pow n0_i 2)) |
(* (pow n0_i 2) (+ 1/120 (* 1/120 (/ (+ n1_i (* -1 n1_i)) n0_i)))) |
(* (pow n0_i 2) (+ 1/120 (* -1 (/ (+ (* -1/120 (+ n1_i (* -1 n1_i))) (* 1/120 (/ (pow n1_i 2) n0_i))) n0_i)))) |
(* (pow n0_i 2) (+ 1/120 (* -1 (/ (+ (* -1/120 (+ n1_i (* -1 n1_i))) (* 1/120 (/ (pow n1_i 2) n0_i))) n0_i)))) |
(* 1/120 (pow n0_i 2)) |
(+ (* -1/120 (* n1_i (+ n0_i (* -1 n0_i)))) (* 1/120 (pow n0_i 2))) |
(+ (* 1/120 (pow n0_i 2)) (* n1_i (+ (* -1/120 n1_i) (* -1/120 (+ n0_i (* -1 n0_i)))))) |
(+ (* 1/120 (pow n0_i 2)) (* n1_i (+ (* -1/120 n1_i) (* -1/120 (+ n0_i (* -1 n0_i)))))) |
(* -1/120 (pow n1_i 2)) |
(* (pow n1_i 2) (- (* -1/120 (/ (+ n0_i (* -1 n0_i)) n1_i)) 1/120)) |
(* (pow n1_i 2) (- (+ (* -1/120 (/ (+ n0_i (* -1 n0_i)) n1_i)) (* 1/120 (/ (pow n0_i 2) (pow n1_i 2)))) 1/120)) |
(* (pow n1_i 2) (- (+ (* -1/120 (/ (+ n0_i (* -1 n0_i)) n1_i)) (* 1/120 (/ (pow n0_i 2) (pow n1_i 2)))) 1/120)) |
(* -1/120 (pow n1_i 2)) |
(* (pow n1_i 2) (- (* -1/120 (/ (+ n0_i (* -1 n0_i)) n1_i)) 1/120)) |
(* (pow n1_i 2) (- (* -1 (/ (+ (* -1/120 (/ (pow n0_i 2) n1_i)) (* 1/120 (+ n0_i (* -1 n0_i)))) n1_i)) 1/120)) |
(* (pow n1_i 2) (- (* -1 (/ (+ (* -1/120 (/ (pow n0_i 2) n1_i)) (* 1/120 (+ n0_i (* -1 n0_i)))) n1_i)) 1/120)) |
(* 1/6 n1_i) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(* 1/3 n0_i) |
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))) |
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))) |
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))) |
(* 1/3 n0_i) |
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))) |
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))) |
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))) |
(* 1/3 n0_i) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(* 1/6 n1_i) |
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i)))) |
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i)))) |
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i)))) |
(* 1/6 n1_i) |
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6))) |
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6))) |
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6))) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* (pow normAngle 2) u) |
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) |
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) |
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) |
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) |
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) |
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) |
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) |
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) |
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) |
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) |
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) |
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) |
(* 1/3 (* n0_i u)) |
(* u (+ (* -1/3 (* n0_i u)) (* 1/3 n0_i))) |
(* u (+ (* -1/3 (* n0_i u)) (* 1/3 n0_i))) |
(* u (+ (* -1/3 (* n0_i u)) (* 1/3 n0_i))) |
(* -1/3 (* n0_i (pow u 2))) |
(* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u)))) |
(* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u)))) |
(* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u)))) |
(* -1/3 (* n0_i (pow u 2))) |
(* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u)))) |
(* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u)))) |
(* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u)))) |
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)) |
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)) |
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)) |
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)) |
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)) |
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)) |
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)) |
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)) |
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)) |
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)) |
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)) |
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)) |
(* -2 (* n0_i u)) |
(* u (+ (* -2 n0_i) (* 2 (* n0_i u)))) |
(* u (+ (* -2 n0_i) (* 2 (* n0_i u)))) |
(* u (+ (* -2 n0_i) (* 2 (* n0_i u)))) |
(* 2 (* n0_i (pow u 2))) |
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i))) |
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i))) |
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i))) |
(* 2 (* n0_i (pow u 2))) |
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i))) |
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i))) |
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i))) |
(* 1/18 u) |
(* u (+ 1/18 (* -1/12 u))) |
(* u (+ 1/18 (* u (- (* 1/36 u) 1/12)))) |
(* u (+ 1/18 (* u (- (* 1/36 u) 1/12)))) |
(* 1/36 (pow u 3)) |
(* (pow u 3) (- 1/36 (* 1/12 (/ 1 u)))) |
(* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u)))) |
(* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u)))) |
(* 1/36 (pow u 3)) |
(* -1 (* (pow u 3) (- (* 1/12 (/ 1 u)) 1/36))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36))) |
(* -3 u) |
(* u (- (* 3 u) 3)) |
(* u (- (* u (+ 3 (* -1 u))) 3)) |
(* u (- (* u (+ 3 (* -1 u))) 3)) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(* -1 (pow u 3)) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(* 1/45 u) |
(* u (+ 1/45 (* -1/18 (pow u 2)))) |
(* u (+ 1/45 (* (pow u 2) (- (* 1/24 u) 1/18)))) |
(* u (+ 1/45 (* (pow u 2) (- (* 1/24 u) 1/18)))) |
(* 1/24 (pow u 4)) |
(* (pow u 4) (- 1/24 (* 1/18 (/ 1 u)))) |
(* (pow u 4) (- (+ 1/24 (/ 1/45 (pow u 3))) (* 1/18 (/ 1 u)))) |
(* (pow u 4) (- (+ 1/24 (/ 1/45 (pow u 3))) (* 1/18 (/ 1 u)))) |
(* 1/24 (pow u 4)) |
(* (pow u 4) (- 1/24 (* 1/18 (/ 1 u)))) |
(* (pow u 4) (+ 1/24 (* -1 (/ (- 1/18 (* 1/45 (/ 1 (pow u 2)))) u)))) |
(* (pow u 4) (+ 1/24 (* -1 (/ (- 1/18 (* 1/45 (/ 1 (pow u 2)))) u)))) |
| Outputs |
|---|
(* -1/120 n1_i) |
(*.f32 #s(literal -1/120 binary32) n1_i) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)) |
(* 1/120 n0_i) |
(*.f32 #s(literal 1/120 binary32) n0_i) |
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i)))) |
(*.f32 n0_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n1_i n0_i) #s(literal 1/120 binary32))) |
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i)))) |
(*.f32 n0_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n1_i n0_i) #s(literal 1/120 binary32))) |
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i)))) |
(*.f32 n0_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n1_i n0_i) #s(literal 1/120 binary32))) |
(* 1/120 n0_i) |
(*.f32 #s(literal 1/120 binary32) n0_i) |
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120))) |
(-.f32 #s(literal 0 binary32) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (/.f32 n1_i n0_i) #s(literal -1/120 binary32)))) |
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120))) |
(-.f32 #s(literal 0 binary32) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (/.f32 n1_i n0_i) #s(literal -1/120 binary32)))) |
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120))) |
(-.f32 #s(literal 0 binary32) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (/.f32 n1_i n0_i) #s(literal -1/120 binary32)))) |
(* 1/120 n0_i) |
(*.f32 #s(literal 1/120 binary32) n0_i) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)) |
(+ (* -1/120 n1_i) (* 1/120 n0_i)) |
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)) |
(* -1/120 n1_i) |
(*.f32 #s(literal -1/120 binary32) n1_i) |
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120)) |
(*.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (/.f32 n0_i n1_i) #s(literal -1/120 binary32))) |
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120)) |
(*.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (/.f32 n0_i n1_i) #s(literal -1/120 binary32))) |
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120)) |
(*.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (/.f32 n0_i n1_i) #s(literal -1/120 binary32))) |
(* -1/120 n1_i) |
(*.f32 #s(literal -1/120 binary32) n1_i) |
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))) |
(-.f32 #s(literal 0 binary32) (*.f32 n1_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n0_i n1_i) #s(literal 1/120 binary32)))) |
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))) |
(-.f32 #s(literal 0 binary32) (*.f32 n1_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n0_i n1_i) #s(literal 1/120 binary32)))) |
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))) |
(-.f32 #s(literal 0 binary32) (*.f32 n1_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n0_i n1_i) #s(literal 1/120 binary32)))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i)))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))))) |
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) |
(*.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (pow.f32 normAngle #s(literal 4 binary32))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 u (*.f32 normAngle normAngle)) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 u (*.f32 normAngle normAngle)) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 u (*.f32 normAngle normAngle)) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) |
(*.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (pow.f32 normAngle #s(literal 4 binary32))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 u (*.f32 normAngle normAngle)) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 u (*.f32 normAngle normAngle)) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 u (*.f32 normAngle normAngle)) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32)))) |
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))))) |
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))))) |
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n0_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n0_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))) |
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n0_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))) |
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))) |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))) |
(*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32)))) n0_i)) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))) |
(*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32)))) n0_i)) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))) |
(*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32)))) n0_i)) (neg.f32 n0_i)) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) |
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.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))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 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))) (fma.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 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))) (fma.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 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))) (fma.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))) |
(* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) |
(*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i)))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i)))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i)))) |
(* -1 (* n1_i (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))) |
(neg.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))) |
(neg.f32 (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.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 n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))) |
(neg.f32 (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.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 n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))) |
(neg.f32 (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.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 n1_i))))) |
(* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))))) |
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))) |
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) |
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(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) |
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(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) |
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(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
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(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(neg.f32 (*.f32 u (fma.f32 (neg.f32 (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) u) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 normAngle normAngle)) n0_i)))) |
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
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(+ (* -1/120 n1_i) (* 1/36 n1_i)) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i))) |
(fma.f32 n1_i #s(literal 7/360 binary32) (*.f32 n0_i #s(literal 1/45 binary32))) |
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i))) |
(fma.f32 n1_i #s(literal 7/360 binary32) (*.f32 n0_i #s(literal 1/45 binary32))) |
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i))) |
(fma.f32 n1_i #s(literal 7/360 binary32) (*.f32 n0_i #s(literal 1/45 binary32))) |
(* 1/45 n0_i) |
(*.f32 n0_i #s(literal 1/45 binary32)) |
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i))))) |
(*.f32 n0_i (fma.f32 (/.f32 n1_i n0_i) #s(literal 7/360 binary32) #s(literal 1/45 binary32))) |
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i))))) |
(*.f32 n0_i (fma.f32 (/.f32 n1_i n0_i) #s(literal 7/360 binary32) #s(literal 1/45 binary32))) |
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i))))) |
(*.f32 n0_i (fma.f32 (/.f32 n1_i n0_i) #s(literal 7/360 binary32) #s(literal 1/45 binary32))) |
(* 1/45 n0_i) |
(*.f32 n0_i #s(literal 1/45 binary32)) |
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45))) |
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(*.f32 n0_i #s(literal 1/45 binary32)) |
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i)))) |
(fma.f32 n1_i #s(literal 7/360 binary32) (*.f32 n0_i #s(literal 1/45 binary32))) |
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i)))) |
(fma.f32 n1_i #s(literal 7/360 binary32) (*.f32 n0_i #s(literal 1/45 binary32))) |
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i)))) |
(fma.f32 n1_i #s(literal 7/360 binary32) (*.f32 n0_i #s(literal 1/45 binary32))) |
(* 7/360 n1_i) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))))) |
(*.f32 n1_i (fma.f32 (/.f32 n0_i n1_i) #s(literal 1/45 binary32) #s(literal 7/360 binary32))) |
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))))) |
(*.f32 n1_i (fma.f32 (/.f32 n0_i n1_i) #s(literal 1/45 binary32) #s(literal 7/360 binary32))) |
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))))) |
(*.f32 n1_i (fma.f32 (/.f32 n0_i n1_i) #s(literal 1/45 binary32) #s(literal 7/360 binary32))) |
(* 7/360 n1_i) |
(*.f32 n1_i #s(literal 7/360 binary32)) |
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i #s(literal 1/45 binary32)) n1_i) #s(literal -7/360 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i #s(literal 1/45 binary32)) n1_i) #s(literal -7/360 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i #s(literal 1/45 binary32)) n1_i) #s(literal -7/360 binary32)) (neg.f32 n1_i)) |
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) 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))) (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) |
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i) |
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(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i) |
(+.f32 (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))) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) |
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i) |
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(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) |
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(* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i))) |
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(* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i))) |
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(* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i))) |
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(* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1))) |
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(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1))) |
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(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1))) |
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(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1))) |
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(+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n1_i) |
(+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) |
(fma.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n1_i)) |
(+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) |
(fma.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n1_i)) |
(+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) |
(fma.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n1_i)) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) |
(*.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1)) |
(*.f32 n0_i (+.f32 (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n0_i)) (/.f32 n1_i n0_i)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1)) |
(*.f32 n0_i (+.f32 (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n0_i)) (/.f32 n1_i n0_i)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1)) |
(*.f32 n0_i (+.f32 (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n0_i)) (/.f32 n1_i n0_i)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) |
(* -1 (* n0_i (+ 1 (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))) |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32) #s(literal 1 binary32))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))) |
(neg.f32 (fma.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n1_i) n0_i)) n0_i)) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))) |
(neg.f32 (fma.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n1_i) n0_i)) n0_i)) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))) |
(neg.f32 (fma.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n1_i) n0_i)) n0_i)) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i))))) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i)) |
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i)))) (-.f32 n1_i n0_i)) |
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i)))) (-.f32 n1_i n0_i)) |
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) |
(*.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (pow.f32 normAngle #s(literal 4 binary32))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 u (*.f32 normAngle normAngle)) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4)))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))) (-.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32)))))) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32)))))) |
(* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4)))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))) (-.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32)))))) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32)))))) |
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) |
(*.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (pow.f32 normAngle #s(literal 4 binary32))) |
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 u (*.f32 normAngle normAngle)) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4)))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))) (-.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32)))))) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32)))))) |
(* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4)))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))) (-.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32)))))) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32)))))) |
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) |
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i)))) (-.f32 n1_i n0_i)) |
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i)))) (-.f32 n1_i n0_i)) |
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i)))) (-.f32 n1_i n0_i)) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))) |
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u))) |
(*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) u) (/.f32 (-.f32 n1_i n0_i) u)))) |
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u))) |
(*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) u) (/.f32 (-.f32 n1_i n0_i) u)))) |
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u))) |
(*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) u) (/.f32 (-.f32 n1_i n0_i) u)))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))) |
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(neg.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) (neg.f32 u))))) |
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(neg.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) (neg.f32 u))))) |
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(neg.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) (neg.f32 u))))) |
(* -1 u) |
(neg.f32 u) |
(* -1 u) |
(neg.f32 u) |
(* -1 u) |
(neg.f32 u) |
(* -1 u) |
(neg.f32 u) |
(* -1 u) |
(neg.f32 u) |
(* -1 u) |
(neg.f32 u) |
(* -1 u) |
(neg.f32 u) |
(* -1 u) |
(neg.f32 u) |
(* -1 u) |
(neg.f32 u) |
(* -1 u) |
(neg.f32 u) |
(* -1 u) |
(neg.f32 u) |
(* -1 u) |
(neg.f32 u) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
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(*.f32 n0_i (neg.f32 u)) |
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(*.f32 n0_i (neg.f32 u)) |
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(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
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(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(* -1 (* n0_i u)) |
(*.f32 n0_i (neg.f32 u)) |
(- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)) n1_i) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)) n1_i) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)) n1_i) |
n1_i |
(* n1_i (- (+ 1 (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))) (/ n0_i n1_i))) |
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i))) |
(* n1_i (- (+ 1 (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))) (/ n0_i n1_i))) |
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i))) |
(* n1_i (- (+ 1 (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))) (/ n0_i n1_i))) |
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i))) |
n1_i |
(* -1 (* n1_i (- (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) n1_i)) 1))) |
(*.f32 (+.f32 (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (neg.f32 n1_i)) #s(literal -1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) n1_i)) 1))) |
(*.f32 (+.f32 (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (neg.f32 n1_i)) #s(literal -1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) n1_i)) 1))) |
(*.f32 (+.f32 (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (neg.f32 n1_i)) #s(literal -1 binary32)) (neg.f32 n1_i)) |
n1_i |
(+ n1_i (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1))) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)) n1_i) |
(+ n1_i (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1))) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)) n1_i) |
(+ n1_i (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1))) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)) n1_i) |
(* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1)) |
(*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ n1_i n0_i)) 1)) |
(*.f32 n0_i (+.f32 (/.f32 n1_i n0_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ n1_i n0_i)) 1)) |
(*.f32 n0_i (+.f32 (/.f32 n1_i n0_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ n1_i n0_i)) 1)) |
(*.f32 n0_i (+.f32 (/.f32 n1_i n0_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) |
(* -1 (* n0_i (+ 1 (* 1/2 (* (pow normAngle 2) u))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32) #s(literal 1 binary32)) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* 1/2 (* (pow normAngle 2) u)))))) |
(neg.f32 (*.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* 1/2 (* (pow normAngle 2) u)))))) |
(neg.f32 (*.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* 1/2 (* (pow normAngle 2) u)))))) |
(neg.f32 (*.f32 n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i))))) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)) n1_i) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)) n1_i) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)) n1_i) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (/.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (/.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (/.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (/.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (/.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (/.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)))) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)) n1_i) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)) n1_i) |
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)) n1_i) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
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n0_i |
(+ n0_i (* u (- n1_i n0_i))) |
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(+ n0_i (* u (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)) n1_i) n0_i) |
(+ n0_i (* u (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i))) |
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)) n1_i) n0_i) |
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(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ n1_i u))) (/ n0_i u))) |
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(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ n1_i u))) (/ n0_i u))) |
(*.f32 (*.f32 u u) (+.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) n0_i (/.f32 n0_i (*.f32 u u))) (/.f32 (-.f32 n1_i n0_i) u))) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
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n0_i |
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(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (neg.f32 n0_i)) n0_i) |
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(* n0_i (- 1 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
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(* -2 u) |
(*.f32 u #s(literal -2 binary32)) |
(* u (- (* 2 u) 2)) |
(*.f32 u (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) |
(* u (- (* 2 u) 2)) |
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(* u (- (* 2 u) 2)) |
(*.f32 u (fma.f32 #s(literal 2 binary32) u #s(literal -2 binary32))) |
(* 2 (pow u 2)) |
(*.f32 #s(literal 2 binary32) (*.f32 u u)) |
(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
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(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
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(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) u))) |
(* 2 (pow u 2)) |
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(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
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(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
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(* (pow u 2) (- 2 (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) u))) |
-1 |
#s(literal -1 binary32) |
(- u 1) |
(+.f32 u #s(literal -1 binary32)) |
(- u 1) |
(+.f32 u #s(literal -1 binary32)) |
(- u 1) |
(+.f32 u #s(literal -1 binary32)) |
u |
(* u (- 1 (/ 1 u))) |
(*.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u))) |
(* u (- 1 (/ 1 u))) |
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(* u (- 1 (/ 1 u))) |
(*.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u))) |
u |
(* -1 (* u (- (/ 1 u) 1))) |
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(* -1 (* u (- (/ 1 u) 1))) |
(neg.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) |
(* -1 (* u (- (/ 1 u) 1))) |
(neg.f32 (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(* -1 u) |
(neg.f32 u) |
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(* u (- (/ 1 u) 1)) |
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(* u (- (/ 1 u) 1)) |
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(* -1 u) |
(neg.f32 u) |
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(* -1 (* u (- 1 (/ 1 u)))) |
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(* -1 (* u (- 1 (/ 1 u)))) |
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(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) u)) (* n1_i u))) |
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u))) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) u)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u))) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))) (/ (* n1_i u) n0_i)))) u)) |
(*.f32 n0_i (+.f32 (fma.f32 n1_i (/.f32 u n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (fma.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)) u) #s(literal 1/6 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) n0_i))) (-.f32 #s(literal 1 binary32) u))) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))) (/ (* n1_i u) n0_i)))) u)) |
(*.f32 n0_i (+.f32 (fma.f32 n1_i (/.f32 u n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (fma.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)) u) #s(literal 1/6 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) n0_i))) (-.f32 #s(literal 1 binary32) u))) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))) (/ (* n1_i u) n0_i)))) u)) |
(*.f32 n0_i (+.f32 (fma.f32 n1_i (/.f32 u n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (fma.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)) u) #s(literal 1/6 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) n0_i))) (-.f32 #s(literal 1 binary32) u))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))) |
(*.f32 (neg.f32 n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.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)) u) #s(literal -1/6 binary32))) (-.f32 #s(literal 0 binary32) (-.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)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.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)) u) #s(literal -1/6 binary32))) (/.f32 (*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u)) (neg.f32 n0_i))) (-.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)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.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)) u) #s(literal -1/6 binary32))) (/.f32 (*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u)) (neg.f32 n0_i))) (-.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)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (neg.f32 (*.f32 normAngle normAngle)) (fma.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)) u) #s(literal -1/6 binary32))) (/.f32 (*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u)) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u))) |
n0_i |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))))))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2)))))))))) |
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))))) n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2)))))))))) |
(fma.f32 u (+.f32 n1_i (fma.f32 u (*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) #s(literal -1/18 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/2 binary32) n0_i))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (neg.f32 n0_i)))) n0_i) |
(* 1/24 (* n0_i (* (pow normAngle 4) (pow u 4)))) |
(*.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32)))) (pow.f32 u #s(literal 4 binary32))) |
(* (pow u 4) (+ (* 1/24 (* n0_i (pow normAngle 4))) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) u))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) #s(literal -1/18 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) u) (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32)))))) |
(* (pow u 4) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (+ (* 1/24 (* n0_i (pow normAngle 4))) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) u)))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) #s(literal -1/18 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) u) (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) n0_i) (*.f32 u u))))) |
(* (pow u 4) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (+ (* 1/24 (* n0_i (pow normAngle 4))) (+ (/ n1_i (pow u 3)) (+ (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) u) (/ (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))) (pow u 3)))))))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u u)) (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (fma.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) #s(literal -1/18 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) u) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 u (*.f32 u u)))) (/.f32 n1_i (*.f32 u (*.f32 u u)))))) (/.f32 n0_i (*.f32 u (*.f32 u u))))) |
(* 1/24 (* n0_i (* (pow normAngle 4) (pow u 4)))) |
(*.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32)))) (pow.f32 u #s(literal 4 binary32))) |
(* (pow u 4) (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2))))) u)) (* 1/24 (* n0_i (pow normAngle 4))))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/18 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 #s(literal -1/6 binary32) (-.f32 n0_i n1_i)))) (neg.f32 u)))) |
(* (pow u 4) (+ (* -1 (/ (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2)))))) u)) (* 1/24 (* n0_i (pow normAngle 4))))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/18 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 #s(literal -1/6 binary32) (-.f32 n0_i n1_i))) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (/.f32 (*.f32 normAngle normAngle) u))) (neg.f32 u)))) |
(* (pow u 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* 2 n0_i))) (* -1/45 (* n0_i (pow normAngle 2))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2)))))) u)) (* 1/24 (* n0_i (pow normAngle 4))))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/18 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 #s(literal -1/6 binary32) (-.f32 n0_i n1_i))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) n1_i (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32)) n0_i))) (-.f32 n0_i n1_i)) (neg.f32 u))) (neg.f32 u))) (neg.f32 u)))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
(+ (* -1/6 (* (pow normAngle 2) (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32))))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32))))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) |
(* n0_i (* (pow normAngle 4) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle))))) |
(* n0_i (* (pow normAngle 4) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32)))) (*.f32 (fma.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)) u) #s(literal 1/6 binary32)) n0_i)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32)))) (*.f32 (fma.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)) u) #s(literal 1/6 binary32)) n0_i)) (*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32)))) (*.f32 (fma.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)) u) #s(literal 1/6 binary32)) n0_i)) (*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32)))) (*.f32 (fma.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)) u) #s(literal 1/6 binary32)) n0_i)) (*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #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 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u)) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) n1_i))))) |
(*.f32 n1_i (+.f32 u (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32)))) (*.f32 (fma.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)) u) #s(literal 1/6 binary32)) n0_i)) n1_i) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) n1_i))))) |
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(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) n1_i))))) |
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(*.f32 n0_i (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) |
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)) |
(*.f32 n0_i (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) |
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)) |
(*.f32 n0_i (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) |
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)) |
(*.f32 n0_i (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) |
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)) |
(*.f32 n0_i (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) |
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)) |
(*.f32 n0_i (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) |
(* -2 (* n0_i u)) |
(*.f32 u (*.f32 n0_i #s(literal -2 binary32))) |
(* u (+ (* -2 n0_i) (* 2 (* n0_i u)))) |
(*.f32 u (fma.f32 #s(literal 2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal -2 binary32)))) |
(* u (+ (* -2 n0_i) (* 2 (* n0_i u)))) |
(*.f32 u (fma.f32 #s(literal 2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal -2 binary32)))) |
(* u (+ (* -2 n0_i) (* 2 (* n0_i u)))) |
(*.f32 u (fma.f32 #s(literal 2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal -2 binary32)))) |
(* 2 (* n0_i (pow u 2))) |
(*.f32 #s(literal 2 binary32) (*.f32 n0_i (*.f32 u u))) |
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i))) |
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 n0_i u) (*.f32 n0_i #s(literal 2 binary32))) u) u) |
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i))) |
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 n0_i u) (*.f32 n0_i #s(literal 2 binary32))) u) u) |
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i))) |
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 n0_i u) (*.f32 n0_i #s(literal 2 binary32))) u) u) |
(* 2 (* n0_i (pow u 2))) |
(*.f32 #s(literal 2 binary32) (*.f32 n0_i (*.f32 u u))) |
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i))) |
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 n0_i u) (*.f32 n0_i #s(literal 2 binary32))) u) u) |
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i))) |
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 n0_i u) (*.f32 n0_i #s(literal 2 binary32))) u) u) |
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i))) |
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 n0_i u) (*.f32 n0_i #s(literal 2 binary32))) u) u) |
(* 1/18 u) |
(*.f32 u #s(literal 1/18 binary32)) |
(* u (+ 1/18 (* -1/12 u))) |
(*.f32 u (fma.f32 u #s(literal -1/12 binary32) #s(literal 1/18 binary32))) |
(* u (+ 1/18 (* u (- (* 1/36 u) 1/12)))) |
(*.f32 u (fma.f32 u (fma.f32 u #s(literal 1/36 binary32) #s(literal -1/12 binary32)) #s(literal 1/18 binary32))) |
(* u (+ 1/18 (* u (- (* 1/36 u) 1/12)))) |
(*.f32 u (fma.f32 u (fma.f32 u #s(literal 1/36 binary32) #s(literal -1/12 binary32)) #s(literal 1/18 binary32))) |
(* 1/36 (pow u 3)) |
(*.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u u))) |
(* (pow u 3) (- 1/36 (* 1/12 (/ 1 u)))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 #s(literal 1/36 binary32) (/.f32 #s(literal -1/12 binary32) u))) |
(* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u)))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 u u)) (+.f32 #s(literal 1/36 binary32) (/.f32 #s(literal -1/12 binary32) u)))) |
(* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u)))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 u u)) (+.f32 #s(literal 1/36 binary32) (/.f32 #s(literal -1/12 binary32) u)))) |
(* 1/36 (pow u 3)) |
(*.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u u))) |
(* -1 (* (pow u 3) (- (* 1/12 (/ 1 u)) 1/36))) |
(*.f32 (*.f32 u (*.f32 u u)) (neg.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) u) #s(literal -1/36 binary32)))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/18 binary32) u) #s(literal 1/12 binary32)) u) #s(literal -1/36 binary32))) |
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/18 binary32) u) #s(literal 1/12 binary32)) u) #s(literal -1/36 binary32))) |
(* -3 u) |
(*.f32 u #s(literal -3 binary32)) |
(* u (- (* 3 u) 3)) |
(*.f32 u (fma.f32 u #s(literal 3 binary32) #s(literal -3 binary32))) |
(* u (- (* u (+ 3 (* -1 u))) 3)) |
(*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -3 binary32))) |
(* u (- (* u (+ 3 (* -1 u))) 3)) |
(*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -3 binary32))) |
(* -1 (pow u 3)) |
(neg.f32 (*.f32 u (*.f32 u u))) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 3 binary32) u) #s(literal -1 binary32))) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 3 binary32) u) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 3 binary32) (*.f32 u u))))) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 3 binary32) u) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 3 binary32) (*.f32 u u))))) |
(* -1 (pow u 3)) |
(neg.f32 (*.f32 u (*.f32 u u))) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -3 binary32) u))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) u)) u))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) u)) u))) |
(* 1/45 u) |
(*.f32 u #s(literal 1/45 binary32)) |
(* u (+ 1/45 (* -1/18 (pow u 2)))) |
(*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/18 binary32) #s(literal 1/45 binary32))) |
(* u (+ 1/45 (* (pow u 2) (- (* 1/24 u) 1/18)))) |
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 u #s(literal 1/24 binary32) #s(literal -1/18 binary32)) #s(literal 1/45 binary32))) |
(* u (+ 1/45 (* (pow u 2) (- (* 1/24 u) 1/18)))) |
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 u #s(literal 1/24 binary32) #s(literal -1/18 binary32)) #s(literal 1/45 binary32))) |
(* 1/24 (pow u 4)) |
(*.f32 #s(literal 1/24 binary32) (pow.f32 u #s(literal 4 binary32))) |
(* (pow u 4) (- 1/24 (* 1/18 (/ 1 u)))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 #s(literal 1/24 binary32) (/.f32 #s(literal -1/18 binary32) u))) |
(* (pow u 4) (- (+ 1/24 (/ 1/45 (pow u 3))) (* 1/18 (/ 1 u)))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/45 binary32) (*.f32 u (*.f32 u u))) (+.f32 #s(literal 1/24 binary32) (/.f32 #s(literal -1/18 binary32) u)))) |
(* (pow u 4) (- (+ 1/24 (/ 1/45 (pow u 3))) (* 1/18 (/ 1 u)))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/45 binary32) (*.f32 u (*.f32 u u))) (+.f32 #s(literal 1/24 binary32) (/.f32 #s(literal -1/18 binary32) u)))) |
(* 1/24 (pow u 4)) |
(*.f32 #s(literal 1/24 binary32) (pow.f32 u #s(literal 4 binary32))) |
(* (pow u 4) (- 1/24 (* 1/18 (/ 1 u)))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 #s(literal 1/24 binary32) (/.f32 #s(literal -1/18 binary32) u))) |
(* (pow u 4) (+ 1/24 (* -1 (/ (- 1/18 (* 1/45 (/ 1 (pow u 2)))) u)))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 #s(literal 1/24 binary32) (/.f32 (+.f32 #s(literal 1/18 binary32) (/.f32 #s(literal -1/45 binary32) (*.f32 u u))) u))) |
(* (pow u 4) (+ 1/24 (* -1 (/ (- 1/18 (* 1/45 (/ 1 (pow u 2)))) u)))) |
(*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 #s(literal 1/24 binary32) (/.f32 (+.f32 #s(literal 1/18 binary32) (/.f32 #s(literal -1/45 binary32) (*.f32 u u))) u))) |
Compiled 103 809 to 6 700 computations (93.5% saved)
44 alts after pruning (41 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 824 | 17 | 1 841 |
| Fresh | 11 | 24 | 35 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 840 | 44 | 1 884 |
| Status | Accuracy | Program |
|---|---|---|
| 97.7% | (fma.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) | |
| 99.0% | (fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))) | |
| 36.1% | (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i)) | |
| 35.9% | (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)) | |
| 98.9% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) | |
| 98.9% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i)) n0_i) | |
| 61.2% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (fma.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal -1/3 binary32) (neg.f32 n0_i))) n0_i) | |
| 61.0% | (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (neg.f32 n0_i)) n0_i) | |
| 97.8% | (fma.f32 u (-.f32 n1_i n0_i) n0_i) | |
| 98.8% | (fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) | |
| 99.0% | (fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 n0_i #s(literal -1/30 binary32)) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) | |
| 98.9% | (fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i) | |
| 98.1% | (fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) | |
| 80.4% | (fma.f32 u (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i) | |
| 61.1% | (fma.f32 u (*.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i) | |
| 79.5% | (fma.f32 u n1_i n0_i) | |
| 97.5% | (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) | |
| 98.7% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i))) | |
| 98.8% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 u u) (fma.f32 u #s(literal 1/24 binary32) #s(literal -1/18 binary32)) #s(literal 1/45 binary32)))))) (*.f32 u n1_i))) | |
| 98.0% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.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)) (+.f32 u #s(literal -1 binary32)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i))) | |
| 98.7% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i u)))))) | |
| 60.8% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)))) | |
| 60.9% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 (*.f32 n0_i u) #s(literal -1/3 binary32)))))) | |
| 60.9% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/3 binary32)))))) | |
| 60.7% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u (*.f32 u u)))))) | |
| 59.7% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 u #s(literal -1 binary32)) (*.f32 u (+.f32 u #s(literal -1 binary32)))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) | |
| 60.9% | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32))))))) | |
| 60.9% | (fma.f32 n0_i (neg.f32 u) n0_i) | |
| 32.1% | (/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)) | |
| 99.0% | (+.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (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 #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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 #s(literal -1/120 binary32) (neg.f32 u) #s(literal -1/120 binary32))) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32)))) #s(literal 1 binary32)) u) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)) | |
| 98.9% | (+.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)) u) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)) | |
| 80.2% | (+.f32 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)) | |
| 80.5% | (+.f32 n0_i (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)) | |
| 62.6% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) | |
| 60.7% | (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/840 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal 1/6 binary32))) n0_i) normAngle)) | |
| ✓ | 60.7% | (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
| 35.9% | (*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u)) | |
| 36.1% | (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u)) | |
| 97.1% | (*.f32 n1_i (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i) (+.f32 (/.f32 n0_i n1_i) u))) | |
| 35.1% | (*.f32 n1_i u) | |
| 61.0% | (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u))) | |
| 60.9% | (*.f32 n0_i (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u))) | |
| ✓ | 60.7% | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
| ✓ | 46.7% | n0_i |
Compiled 3 650 to 1 154 computations (68.4% saved)
| Inputs |
|---|
n0_i |
(*.f32 n1_i u) |
(fma.f32 u n1_i n0_i) |
(*.f32 n0_i (neg.f32 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
(+.f32 (neg.f32 n0_i) (*.f32 n0_i u)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) |
(fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (neg.f32 n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (neg.f32 n0_i)) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)))) |
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u)) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u)) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i) |
(fma.f32 u (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i) |
(+.f32 n0_i (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u (*.f32 u u)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/3 binary32)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 (*.f32 n0_i u) #s(literal -1/3 binary32)))))) |
(*.f32 n0_i (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i)) n0_i) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32))))))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (fma.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal -1/3 binary32) (neg.f32 n0_i))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u)) |
(fma.f32 u (*.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (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 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
(*.f32 n1_i (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i) (+.f32 (/.f32 n0_i n1_i) u))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 u #s(literal -1 binary32)) (*.f32 u (+.f32 u #s(literal -1 binary32)))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i u)))))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.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 n1_i #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) |
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (neg.f32 n0_i))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 n0_i #s(literal -1/30 binary32)) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 u u) (fma.f32 u #s(literal 1/24 binary32) #s(literal -1/18 binary32)) #s(literal 1/45 binary32)))))) (*.f32 u n1_i))) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))))) (*.f32 u n1_i))) |
(+.f32 n0_i (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.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)) (+.f32 u #s(literal -1 binary32)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 (*.f32 u u) (fma.f32 n0_i #s(literal -1/12 binary32) (fma.f32 #s(literal 1/24 binary32) (*.f32 u n0_i) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i)))) (neg.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))))))) (*.f32 u n1_i))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (fma.f32 (fma.f32 (+.f32 u #s(literal -1 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) (+.f32 u #s(literal -1 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (fma.f32 (*.f32 u u) (fma.f32 n0_i #s(literal -1/12 binary32) (fma.f32 u (fma.f32 #s(literal 1/120 binary32) (*.f32 u (-.f32 n1_i n0_i)) (*.f32 n0_i #s(literal 1/24 binary32))) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i)))) (*.f32 n0_i #s(literal -1/24 binary32))) (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))))) (*.f32 u n1_i))) |
(+.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)) u) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/840 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal 1/6 binary32))) n0_i) normAngle)) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(+.f32 n0_i (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i)) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))) n0_i) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u) n1_i)) |
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) u) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(+.f32 (*.f32 (fma.f32 normAngle (*.f32 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)) |
(*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 (*.f32 u (*.f32 u u)) (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (*.f32 u u)) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) |
(+.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (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 #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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 #s(literal -1/120 binary32) (neg.f32 u) #s(literal -1/120 binary32))) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32)))) #s(literal 1 binary32)) u) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)) |
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))) |
(fma.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(fma.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))) n0_i) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)) |
(fma.f32 u (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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)))))) (*.f32 u n1_i))) |
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u))) (/.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 (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
5 calls:
| 31.0ms | n0_i |
| 27.0ms | (+.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)) |
| 24.0ms | u |
| 23.0ms | n1_i |
| 22.0ms | normAngle |
| 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 (neg.f32 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
(+.f32 (neg.f32 n0_i) (*.f32 n0_i u)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) |
(fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (neg.f32 n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (neg.f32 n0_i)) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)))) |
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u)) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u)) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i) |
(fma.f32 u (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i) |
(+.f32 n0_i (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u (*.f32 u u)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/3 binary32)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 (*.f32 n0_i u) #s(literal -1/3 binary32)))))) |
(*.f32 n0_i (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i)) n0_i) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32))))))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (fma.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal -1/3 binary32) (neg.f32 n0_i))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u)) |
(fma.f32 u (*.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (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 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
(*.f32 n1_i (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i) (+.f32 (/.f32 n0_i n1_i) u))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 u #s(literal -1 binary32)) (*.f32 u (+.f32 u #s(literal -1 binary32)))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i u)))))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.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 n1_i #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) |
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (neg.f32 n0_i))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 n0_i #s(literal -1/30 binary32)) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 u u) (fma.f32 u #s(literal 1/24 binary32) #s(literal -1/18 binary32)) #s(literal 1/45 binary32)))))) (*.f32 u n1_i))) |
| Outputs |
|---|
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
4 calls:
| 17.0ms | u |
| 16.0ms | n0_i |
| 15.0ms | n1_i |
| 14.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | normAngle |
| 99.1% | 1 | u |
| 99.1% | 1 | n0_i |
| 99.1% | 1 | n1_i |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
n0_i |
(*.f32 n1_i u) |
(fma.f32 u n1_i n0_i) |
(*.f32 n0_i (neg.f32 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
(+.f32 (neg.f32 n0_i) (*.f32 n0_i u)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) |
(fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (neg.f32 n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (neg.f32 n0_i)) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)))) |
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u)) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u)) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i) |
(fma.f32 u (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i) |
(+.f32 n0_i (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u (*.f32 u u)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/3 binary32)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 (*.f32 n0_i u) #s(literal -1/3 binary32)))))) |
(*.f32 n0_i (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i)) n0_i) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32))))))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (fma.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal -1/3 binary32) (neg.f32 n0_i))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u)) |
(fma.f32 u (*.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (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 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
(*.f32 n1_i (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i) (+.f32 (/.f32 n0_i n1_i) u))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 u #s(literal -1 binary32)) (*.f32 u (+.f32 u #s(literal -1 binary32)))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i u)))))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.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 n1_i #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) |
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (neg.f32 n0_i))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 n0_i #s(literal -1/30 binary32)) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
| Outputs |
|---|
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 n0_i #s(literal -1/30 binary32)) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
4 calls:
| 16.0ms | u |
| 14.0ms | normAngle |
| 14.0ms | n1_i |
| 13.0ms | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | normAngle |
| 99.0% | 1 | u |
| 99.0% | 1 | n0_i |
| 99.0% | 1 | n1_i |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
n0_i |
(*.f32 n1_i u) |
(fma.f32 u n1_i n0_i) |
(*.f32 n0_i (neg.f32 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
(+.f32 (neg.f32 n0_i) (*.f32 n0_i u)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) |
(fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (neg.f32 n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (neg.f32 n0_i)) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)))) |
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u)) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u)) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i) |
(fma.f32 u (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i) |
(+.f32 n0_i (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u (*.f32 u u)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/3 binary32)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 (*.f32 n0_i u) #s(literal -1/3 binary32)))))) |
(*.f32 n0_i (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i)) n0_i) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32))))))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (fma.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal -1/3 binary32) (neg.f32 n0_i))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u)) |
(fma.f32 u (*.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (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 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
(*.f32 n1_i (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i) (+.f32 (/.f32 n0_i n1_i) u))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 u #s(literal -1 binary32)) (*.f32 u (+.f32 u #s(literal -1 binary32)))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i u)))))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.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 n1_i #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) |
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (neg.f32 n0_i))) n0_i) |
| Outputs |
|---|
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.f32 n1_i n0_i)) n0_i) |
4 calls:
| 15.0ms | normAngle |
| 15.0ms | n0_i |
| 14.0ms | n1_i |
| 12.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | normAngle |
| 99.0% | 1 | u |
| 99.0% | 1 | n0_i |
| 99.0% | 1 | n1_i |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
n0_i |
(*.f32 n1_i u) |
(fma.f32 u n1_i n0_i) |
(*.f32 n0_i (neg.f32 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
(+.f32 (neg.f32 n0_i) (*.f32 n0_i u)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) |
(fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (neg.f32 n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (neg.f32 n0_i)) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)))) |
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u)) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u)) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i) |
(fma.f32 u (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i) |
(+.f32 n0_i (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u (*.f32 u u)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/3 binary32)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 (*.f32 n0_i u) #s(literal -1/3 binary32)))))) |
(*.f32 n0_i (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i)) n0_i) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32))))))) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (fma.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal -1/3 binary32) (neg.f32 n0_i))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u)) |
(fma.f32 u (*.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (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 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
(*.f32 n1_i (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i) (+.f32 (/.f32 n0_i n1_i) u))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 u #s(literal -1 binary32)) (*.f32 u (+.f32 u #s(literal -1 binary32)))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i)) |
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i u)))))) |
| Outputs |
|---|
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i)) n0_i) |
4 calls:
| 13.0ms | n0_i |
| 13.0ms | n1_i |
| 13.0ms | normAngle |
| 11.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | normAngle |
| 98.9% | 1 | u |
| 98.9% | 1 | n0_i |
| 98.9% | 1 | n1_i |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
n0_i |
(*.f32 n1_i u) |
(fma.f32 u n1_i n0_i) |
(*.f32 n0_i (neg.f32 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
(+.f32 (neg.f32 n0_i) (*.f32 n0_i u)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) |
(fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (neg.f32 n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (neg.f32 n0_i)) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)))) |
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u)) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u)) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i) |
(fma.f32 u (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i) |
(+.f32 n0_i (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u (*.f32 u u)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/3 binary32)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 (*.f32 n0_i u) #s(literal -1/3 binary32)))))) |
(*.f32 n0_i (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u))) |
| Outputs |
|---|
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i) |
4 calls:
| 12.0ms | n1_i |
| 8.0ms | n0_i |
| 8.0ms | normAngle |
| 7.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | normAngle |
| 98.9% | 1 | u |
| 98.9% | 1 | n0_i |
| 98.9% | 1 | n1_i |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
n0_i |
(*.f32 n1_i u) |
(fma.f32 u n1_i n0_i) |
(*.f32 n0_i (neg.f32 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
(+.f32 (neg.f32 n0_i) (*.f32 n0_i u)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) |
(fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (neg.f32 n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (neg.f32 n0_i)) n0_i) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)))) |
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u)) |
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u)) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i) |
(fma.f32 u (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i) |
(+.f32 n0_i (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)) |
| Outputs |
|---|
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
4 calls:
| 7.0ms | u |
| 7.0ms | n1_i |
| 6.0ms | n0_i |
| 6.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | normAngle |
| 97.8% | 1 | u |
| 97.8% | 1 | n0_i |
| 97.8% | 1 | n1_i |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
n0_i |
(*.f32 n1_i u) |
(fma.f32 u n1_i n0_i) |
(*.f32 n0_i (neg.f32 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
| Outputs |
|---|
(fma.f32 u n1_i n0_i) |
(fma.f32 n0_i (neg.f32 u) n0_i) |
(fma.f32 u n1_i n0_i) |
4 calls:
| 3.0ms | u |
| 3.0ms | n1_i |
| 3.0ms | n0_i |
| 3.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.5% | 1 | normAngle |
| 79.5% | 1 | u |
| 79.5% | 1 | n0_i |
| 86.9% | 3 | n1_i |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
n0_i |
(*.f32 n1_i u) |
(fma.f32 u n1_i n0_i) |
(*.f32 n0_i (neg.f32 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i) |
| Outputs |
|---|
(fma.f32 u n1_i n0_i) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(fma.f32 u n1_i n0_i) |
1 calls:
| 3.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 3 | n1_i |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
n0_i |
(*.f32 n1_i u) |
(fma.f32 u n1_i n0_i) |
(*.f32 n0_i (neg.f32 u)) |
| Outputs |
|---|
(fma.f32 u n1_i n0_i) |
1 calls:
| 2.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.5% | 1 | n1_i |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
n0_i |
(*.f32 n1_i u) |
| Outputs |
|---|
(*.f32 n1_i u) |
n0_i |
(*.f32 n1_i u) |
4 calls:
| 2.0ms | u |
| 2.0ms | n1_i |
| 2.0ms | n0_i |
| 1.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.7% | 1 | normAngle |
| 50.0% | 2 | u |
| 57.6% | 3 | n0_i |
| 58.5% | 3 | n1_i |
Compiled 20 to 16 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
n0_i |
| Outputs |
|---|
n0_i |
3 calls:
| 1.0ms | n1_i |
| 1.0ms | n0_i |
| 1.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.7% | 1 | u |
| 46.7% | 1 | n0_i |
| 46.7% | 1 | n1_i |
Compiled 15 to 12 computations (20% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.376441836147615e-22 | 2.859784612058964e-22 |
| 0.0ms | -4.934886631121946e-24 | -1.5218136357152968e-25 |
Compiled 32 to 24 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.376441836147615e-22 | 2.859784612058964e-22 |
| 0.0ms | -4.934886631121946e-24 | -1.5218136357152968e-25 |
Compiled 32 to 24 computations (25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.1480057316169976e-11 | 1.148455566757356e-10 |
| 0.0ms | -5.400079057026868e-19 | -3.9858961851241196e-19 |
Compiled 32 to 24 computations (25% saved)
| 1× | egg-herbie |
| 38× | *-commutative_binary32 |
| 26× | +-commutative_binary32 |
| 10× | sub-neg_binary32 |
| 6× | neg-sub0_binary32 |
| 6× | neg-mul-1_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 280 |
| 1 | 128 | 280 |
| 2 | 136 | 280 |
| 3 | 140 | 280 |
| 4 | 141 | 280 |
| 1× | saturated |
| Inputs |
|---|
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 n0_i #s(literal -1/30 binary32)) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.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 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.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 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
(if (<=.f32 n1_i #s(literal -10141205/2535301200456458802993406410752 binary32)) (fma.f32 u n1_i n0_i) (if (<=.f32 n1_i #s(literal 309485/1237940039285380274899124224 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 u n1_i n0_i))) |
(if (<=.f32 n1_i #s(literal -10141205/2535301200456458802993406410752 binary32)) (fma.f32 u n1_i n0_i) (if (<=.f32 n1_i #s(literal 309485/1237940039285380274899124224 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (fma.f32 u n1_i n0_i))) |
(fma.f32 u n1_i n0_i) |
(if (<=.f32 n1_i #s(literal -9671407/19342813113834066795298816 binary32)) (*.f32 n1_i u) (if (<=.f32 n1_i #s(literal 11529215/288230376151711744 binary32)) n0_i (*.f32 n1_i u))) |
n0_i |
| Outputs |
|---|
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (-.f32 n1_i n0_i) (+.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))) (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 n0_i #s(literal -1/30 binary32)) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))) (*.f32 n0_i #s(literal -1/30 binary32))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.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 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.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 n1_i #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u #s(literal -1/2 binary32))))) (-.f32 n1_i n0_i)) n0_i) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
(if (<=.f32 n1_i #s(literal -10141205/2535301200456458802993406410752 binary32)) (fma.f32 u n1_i n0_i) (if (<=.f32 n1_i #s(literal 309485/1237940039285380274899124224 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 u n1_i n0_i))) |
(if (<=.f32 n1_i #s(literal -10141205/2535301200456458802993406410752 binary32)) (fma.f32 u n1_i n0_i) (if (<=.f32 n1_i #s(literal 309485/1237940039285380274899124224 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (fma.f32 u n1_i n0_i))) |
(fma.f32 u n1_i n0_i) |
(if (<=.f32 n1_i #s(literal -9671407/19342813113834066795298816 binary32)) (*.f32 n1_i u) (if (<=.f32 n1_i #s(literal 11529215/288230376151711744 binary32)) n0_i (*.f32 n1_i u))) |
(if (<=.f32 n1_i #s(literal -9671407/19342813113834066795298816 binary32)) (*.f32 u n1_i) (if (<=.f32 n1_i #s(literal 11529215/288230376151711744 binary32)) n0_i (*.f32 u n1_i))) |
n0_i |
| 13 832× | accelerator-lowering-fma.f32 |
| 13 832× | accelerator-lowering-fma.f64 |
| 12 646× | accelerator-lowering-fma.f32 |
| 12 646× | accelerator-lowering-fma.f64 |
| 10 086× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 850 | 12544 |
| 1 | 2874 | 12033 |
| 0 | 8568 | 10998 |
| 0 | 73 | 350 |
| 1 | 522 | 347 |
| 2 | 5422 | 347 |
| 0 | 9087 | 311 |
| 0 | 961 | 12380 |
| 1 | 3303 | 11844 |
| 0 | 8025 | 11161 |
| 0 | 899 | 10946 |
| 1 | 3085 | 10560 |
| 0 | 8176 | 9859 |
| 0 | 359 | 3068 |
| 1 | 1113 | 2964 |
| 2 | 3863 | 2904 |
| 0 | 8930 | 2781 |
| 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 794 to 370 computations (53.4% saved)
(abs normAngle)
Compiled 1 350 to 552 computations (59.1% saved)
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