
Time bar (total: 15.3s)
| 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% | 99.4% | 0% | 0% | 0% | 6 |
| 25% | 0.1% | 0.4% | 99.4% | 0% | 0% | 0% | 7 |
| 25% | 0.1% | 0.4% | 99.4% | 0% | 0% | 0% | 8 |
| 25% | 0.1% | 0.4% | 99.4% | 0% | 0% | 0% | 9 |
| 45% | 0.2% | 0.3% | 99.5% | 0% | 0% | 0% | 10 |
| 52.5% | 0.3% | 0.2% | 99.5% | 0% | 0% | 0% | 11 |
| 52.5% | 0.3% | 0.2% | 99.5% | 0% | 0% | 0% | 12 |
Compiled 62 to 38 computations (38.7% saved)
ival-sin: 82.0ms (25% of total)ival-mult: 77.0ms (23.5% of total)ival-<=: 70.0ms (21.4% of total)...c/correct-round.rkt:119:19: 31.0ms (9.5% of total)ival-div: 19.0ms (5.8% of total)ival-sub: 18.0ms (5.5% of total)ival-and: 11.0ms (3.4% of total)ival-add: 8.0ms (2.4% of total)ival-pi: 7.0ms (2.1% of total)const: 3.0ms (0.9% of total)backward-pass: 1.0ms (0.3% of total)| 2.0s | 8256× | 0 | valid |
| 722.0ms | 2073× | 0 | precondition |
ival-mult: 576.0ms (25.5% of total)ival-sin: 507.0ms (22.4% of total)ival-<=: 491.0ms (21.7% of total)...c/correct-round.rkt:119:19: 222.0ms (9.8% of total)ival-div: 192.0ms (8.5% of total)ival-and: 73.0ms (3.2% of total)ival-sub: 67.0ms (3% of total)ival-add: 54.0ms (2.4% of total)ival-pi: 49.0ms (2.2% of total)const: 23.0ms (1% of total)backward-pass: 5.0ms (0.2% of total)| 2× | egg-herbie |
| 2682× | fnmadd-define |
| 2144× | fma-define |
| 1832× | sum5-define |
| 1772× | sum4-define |
| 1406× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 344 |
| 1 | 297 | 304 |
| 2 | 850 | 287 |
| 3 | 2937 | 241 |
| 4 | 6767 | 241 |
| 0 | 17 | 22 |
| 1 | 38 | 20 |
| 2 | 83 | 19 |
| 3 | 163 | 16 |
| 4 | 232 | 16 |
| 5 | 291 | 16 |
| 6 | 394 | 16 |
| 7 | 533 | 16 |
| 8 | 1261 | 16 |
| 9 | 1475 | 16 |
| 10 | 1821 | 16 |
| 11 | 2739 | 16 |
| 12 | 5107 | 16 |
| 0 | 8141 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 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 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (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)) |
(/ (fma (sin (fnmadd u normAngle normAngle)) n0_i (* (sin (* u normAngle)) n1_i)) (sin normAngle)) |
(+ (* (* (sin (* (- 1 u) (neg normAngle))) (/ 1 (sin (neg normAngle)))) n0_i) (* (* (sin (* u (neg normAngle))) (/ 1 (sin (neg normAngle)))) n1_i)) |
(/ (fma (sin (fnmadd u normAngle normAngle)) n0_i (* (sin (* u normAngle)) n1_i)) (sin normAngle)) |
(+ (* (* (sin (* (- 1 (neg u)) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* (neg u) normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(/ (fnmadd (sin (* u normAngle)) n1_i (* n0_i (sin (fma u normAngle normAngle)))) (sin normAngle)) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (neg n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(/ (fmsub (sin (* u normAngle)) n1_i (* (sin (fnmadd u normAngle normAngle)) n0_i)) (sin normAngle)) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (neg n1_i))) |
(/ (fmsub (sin (fnmadd u normAngle 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))) |
(neg (/ (fma (sin (fnmadd u normAngle normAngle)) n0_i (* (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))) |
(/ (fmsub (sin (* u normAngle)) n1_i (* n0_i (sin (fma u normAngle normAngle)))) (sin normAngle)) |
(neg (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (neg n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))) |
(/ (fmsub (sin (fnmadd u normAngle 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)))) |
(/ (fmsub (sin (* u normAngle)) n1_i (* (sin (fnmadd u normAngle normAngle)) n0_i)) (sin normAngle)) |
(+ (* (* (sin (* (- 1 normAngle) u)) (/ 1 (sin u))) n0_i) (* (* (sin (* normAngle u)) (/ 1 (sin u))) n1_i)) |
(/ (fma n0_i (sin (fnmadd u normAngle u)) (* (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)) |
(/ (fma n1_i (sin (* u n0_i)) (* normAngle (sin (fnmadd u n0_i 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)) |
(/ (fma normAngle (sin (* u n1_i)) (* n0_i (sin (fnmadd u n1_i n1_i)))) (sin n1_i)) |
(+ (* (* (sin (* (- 1 n0_i) normAngle)) (/ 1 (sin normAngle))) u) (* (* (sin (* n0_i normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(/ (fma u (sin (fnmadd normAngle n0_i normAngle)) (* 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)) |
(/ (fma u (sin (* normAngle n1_i)) (* n0_i (sin (fnmadd normAngle n1_i normAngle)))) (sin normAngle)) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n1_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n0_i)) |
(/ (fma n0_i (sin (* u normAngle)) (* (sin (fnmadd u normAngle normAngle)) n1_i)) (sin normAngle)) |
(abs normAngle)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 28 | 0 | - | 25 | (1.8430202504043717e-38 0.00023789727129042149 -3.3500278939779804e-11 -2.8614365380191104e-14) | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (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 | - | (sin.f32 (*.f32 u normAngle)) |
| 0 | 0 | - | 0 | - | (sin.f32 normAngle) |
| 0 | 0 | - | 0 | - | u |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 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 | - | (-.f32 #s(literal 1 binary32) u) |
| 0 | 0 | - | 0 | - | normAngle |
| 0 | 0 | - | 0 | - | n0_i |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
| 0 | 0 | - | 0 | - | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| 0 | 0 | - | 0 | - | n1_i |
| 0 | 0 | - | 0 | - | (*.f32 u normAngle) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) 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) |
| 117.0ms | 502× | 0 | valid |
| 10.0ms | 10× | 5 | exit |
Compiled 241 to 53 computations (78% saved)
ival-mult: 21.0ms (37.1% of total)ival-sin: 14.0ms (24.7% of total)ival-sub: 12.0ms (21.2% of total)ival-div: 4.0ms (7.1% of total)ival-add: 3.0ms (5.3% of total)backward-pass: 2.0ms (3.5% of total)const: 1.0ms (1.8% of total)Compiled 22 to 15 computations (31.8% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.0% | (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) |
| ▶ | 97.2% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 51 to 32 computations (37.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
| ✓ | cost-diff | 0 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
| ✓ | cost-diff | 0 | (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) |
| ✓ | cost-diff | 0 | (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) |
| ✓ | cost-diff | 64 | (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
| ✓ | cost-diff | 64 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | cost-diff | 64 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| ✓ | cost-diff | 3392 | (+.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)) |
| 2682× | fnmadd-define |
| 2144× | fma-define |
| 1832× | sum5-define |
| 1406× | sum3-define |
| 994× | fnmsub-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 171 |
| 1 | 46 | 163 |
| 2 | 88 | 159 |
| 3 | 151 | 147 |
| 4 | 213 | 147 |
| 5 | 272 | 147 |
| 6 | 375 | 147 |
| 7 | 514 | 147 |
| 8 | 1243 | 147 |
| 9 | 1457 | 147 |
| 10 | 1789 | 147 |
| 11 | 2695 | 147 |
| 12 | 5063 | 147 |
| 0 | 8124 | 147 |
| 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))) 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 |
(/ (+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)) (sin normAngle)) |
(+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)) |
(* (sin (* (- 1 u) normAngle)) n0_i) |
(sin (* (- 1 u) normAngle)) |
(* (- 1 u) normAngle) |
(- 1 u) |
1 |
u |
normAngle |
n0_i |
(* (sin (* u normAngle)) n1_i) |
(sin (* u normAngle)) |
(* u normAngle) |
n1_i |
(sin normAngle) |
| Outputs |
|---|
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u 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 |
(* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
(* (sin (* u normAngle)) (/ 1 (sin normAngle))) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(sin (* u normAngle)) |
(sin.f32 (*.f32 u normAngle)) |
(* u normAngle) |
(*.f32 u normAngle) |
n1_i |
(/ (+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) |
(+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)) |
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) |
(* (sin (* (- 1 u) normAngle)) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
(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 |
n0_i |
(* (sin (* u normAngle)) n1_i) |
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) |
(sin (* u normAngle)) |
(sin.f32 (*.f32 u normAngle)) |
(* u normAngle) |
(*.f32 u normAngle) |
n1_i |
(sin normAngle) |
(sin.f32 normAngle) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
| ✓ | accuracy | 99.6% | (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) |
| ✓ | accuracy | 99.5% | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| ✓ | accuracy | 75.5% | (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) |
| ✓ | accuracy | 99.6% | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| ✓ | accuracy | 99.5% | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| ✓ | accuracy | 98.7% | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | accuracy | 94.5% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 90.0ms | 251× | 0 | valid |
| 5.0ms | 5× | 5 | exit |
Compiled 181 to 22 computations (87.8% saved)
ival-mult: 16.0ms (47.8% of total)ival-sin: 8.0ms (23.9% of total)ival-div: 4.0ms (12% of total)ival-add: 3.0ms (9% of total)ival-sub: 2.0ms (6% of total)backward-pass: 1.0ms (3% of total)const: 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))) n0_i)> |
#<alt (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))> |
#<alt (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)> |
#<alt (/ (+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)) (sin normAngle))> |
#<alt (+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i))> |
#<alt (* (sin (* (- 1 u) normAngle)) n0_i)> |
#<alt (sin (* (- 1 u) normAngle))> |
#<alt (* (sin (* u normAngle)) (/ 1 (sin normAngle)))> |
#<alt (* (- 1 u) normAngle)> |
#<alt (* (sin (* u normAngle)) n1_i)> |
| 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 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 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 (/ (* n1_i (* normAngle u)) (sin normAngle))> |
#<alt (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (* n1_i u)> |
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))> |
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))> |
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt 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)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* 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)) (* 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 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* 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))) (* (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))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))) (+ (* -1/5040 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/120 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))))))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u)))))))> |
#<alt (/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* 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 (* n0_i (sin normAngle))> |
#<alt (+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))))> |
#<alt (+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle)))))> |
#<alt (+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle))))))))))))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u))))> |
#<alt (* normAngle (+ (* n0_i (- 1 u)) (* n1_i u)))> |
#<alt (* normAngle (+ (* 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))))))))> |
#<alt (* normAngle (+ (* 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)))))))))))> |
#<alt (* normAngle (+ (* 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))))))))))))))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i)))> |
#<alt (* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i)))> |
#<alt (* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i)))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i)))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)))> |
#<alt (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)))> |
#<alt (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)))))> |
#<alt (* n0_i (sin normAngle))> |
#<alt (+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle)))> |
#<alt (+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))))))> |
#<alt (+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle))))))))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (+ 1 (* -1 u)))))> |
#<alt (* n0_i (sin (* normAngle (+ 1 (* -1 u)))))> |
#<alt (* n0_i (sin (* normAngle (+ 1 (* -1 u)))))> |
#<alt (* n0_i (sin (* normAngle (+ 1 (* -1 u)))))> |
#<alt (* n0_i (* normAngle (- 1 u)))> |
#<alt (* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u))))> |
#<alt (* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5))))))))> |
#<alt (* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5)))))))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (* n0_i (sin (* normAngle (- 1 u))))> |
#<alt (sin normAngle)> |
#<alt (+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))> |
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))> |
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (+ 1 (* -1 u))))> |
#<alt (sin (* normAngle (+ 1 (* -1 u))))> |
#<alt (sin (* normAngle (+ 1 (* -1 u))))> |
#<alt (sin (* normAngle (+ 1 (* -1 u))))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))> |
#<alt (* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))> |
#<alt (* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (sin (* normAngle (- 1 u)))> |
#<alt (/ (* normAngle u) (sin normAngle))> |
#<alt (* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))> |
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))> |
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle))))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt u> |
#<alt (+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))> |
#<alt (+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))> |
#<alt (+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt (/ (sin (* normAngle u)) (sin normAngle))> |
#<alt normAngle> |
#<alt (+ normAngle (* -1 (* normAngle u)))> |
#<alt (+ normAngle (* -1 (* normAngle u)))> |
#<alt (+ normAngle (* -1 (* normAngle u)))> |
#<alt (* -1 (* normAngle u))> |
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))> |
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))> |
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))> |
#<alt (* -1 (* normAngle u))> |
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))> |
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))> |
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* n1_i (* normAngle u))> |
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 3) (pow u 2)))) (* n1_i normAngle)))> |
#<alt (* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/120 (* n1_i (* (pow normAngle 5) (pow u 2))))))))> |
#<alt (* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* (pow u 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 7) (pow u 2)))) (* 1/120 (* n1_i (pow normAngle 5)))))))))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (* normAngle u))> |
#<alt (* normAngle (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) (* n1_i u)))> |
#<alt (* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* 1/120 (* n1_i (* (pow normAngle 2) (pow u 5))))))))> |
#<alt (* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 2) (pow u 7)))) (* 1/120 (* n1_i (pow u 5)))))))))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | n1_i | @ | 0 | (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
| 4.0ms | normAngle | @ | -inf | (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) |
| 3.0ms | u | @ | inf | (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
| 2.0ms | normAngle | @ | inf | (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
| 2.0ms | normAngle | @ | 0 | (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
| 1× | batch-egg-rewrite |
| 5238× | *-lowering-*.f32 |
| 5238× | *-lowering-*.f64 |
| 2082× | /-lowering-/.f32 |
| 2082× | /-lowering-/.f64 |
| 1656× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 115 |
| 1 | 98 | 115 |
| 2 | 766 | 109 |
| 0 | 8616 | 109 |
| 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))) n0_i) |
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) |
(* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) |
(/ (+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)) (sin normAngle)) |
(+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)) |
(* (sin (* (- 1 u) normAngle)) n0_i) |
(sin (* (- 1 u) normAngle)) |
(* (sin (* u normAngle)) (/ 1 (sin normAngle))) |
(* (- 1 u) normAngle) |
(* (sin (* u normAngle)) n1_i) |
| Outputs |
|---|
(neg.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (neg.f32 (sin.f32 normAngle)))) |
(neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))) |
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (neg.f32 (sin.f32 normAngle))))) |
(neg.f32 (/.f32 (+.f32 (pow.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) #s(literal 3 binary32)) (pow.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) #s(literal 3 binary32))) (neg.f32 (+.f32 (pow.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)))))))) |
(neg.f32 (/.f32 (-.f32 (pow.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) #s(literal 2 binary32)) (pow.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) #s(literal 2 binary32))) (neg.f32 (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))) |
(neg.f32 (/.f32 (*.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) #s(literal -1 binary32)) (sin.f32 normAngle))) |
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) #s(literal 3 binary32)) (pow.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) #s(literal 3 binary32)))) (+.f32 (pow.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))))))) |
(neg.f32 (/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) #s(literal 2 binary32)) (pow.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))) #s(literal -1 binary32))) |
(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))) |
(+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(+.f32 (/.f32 (pow.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))) (neg.f32 (/.f32 (pow.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))) |
(pow.f32 (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) #s(literal -1 binary32)) |
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))) |
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))) |
(fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(fma.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))) |
(fma.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))) |
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)) (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(-.f32 #s(literal 0 binary32) (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (neg.f32 (sin.f32 normAngle)))) |
(-.f32 (/.f32 (pow.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))) (/.f32 (pow.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))) |
(-.f32 (/.f32 (/.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))))) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (sin.f32 normAngle)) (/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (*.f32 n1_i n1_i)) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (sin.f32 normAngle))) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 normAngle))) (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (neg.f32 (sin.f32 normAngle)))) |
(-.f32 (/.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))))) (*.f32 (sin.f32 normAngle) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))) (/.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (*.f32 n1_i n1_i)) (*.f32 (sin.f32 normAngle) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))) |
(-.f32 (/.f32 (pow.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))) (/.f32 (pow.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (sin.f32 normAngle))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sin.f32 normAngle) (+.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))))) (*.f32 n1_i (*.f32 (sin.f32 (*.f32 u normAngle)) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sin.f32 normAngle) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) (-.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (*.f32 n1_i n1_i))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))))) (*.f32 n1_i (*.f32 (sin.f32 (*.f32 u normAngle)) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))))) (sin.f32 normAngle)) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))))) (*.f32 n1_i (*.f32 (sin.f32 (*.f32 u normAngle)) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))))) (neg.f32 (sin.f32 normAngle))) (*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32))) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) (-.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (*.f32 n1_i n1_i))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (neg.f32 (sin.f32 normAngle))) (*.f32 (-.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (*.f32 n1_i n1_i))) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))))) (*.f32 n1_i (*.f32 (sin.f32 (*.f32 u normAngle)) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))))) (/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32))) (sin.f32 normAngle)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (/.f32 (-.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (*.f32 n1_i n1_i))) (sin.f32 normAngle)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) #s(literal 2 binary32)) (*.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))) (+.f32 (pow.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) #s(literal 3 binary32)) (pow.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) #s(literal 3 binary32))))) |
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(*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (*.f32 n1_i n1_i)) (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))))) |
(*.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))))) (*.f32 n1_i (*.f32 (sin.f32 (*.f32 u normAngle)) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))))) #s(literal 1 binary32))) |
(*.f32 (+.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))))) (*.f32 n1_i (*.f32 (sin.f32 (*.f32 u normAngle)) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))))) (*.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))))) (*.f32 n1_i (*.f32 (sin.f32 (*.f32 u normAngle)) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))))))) |
(*.f32 (-.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (*.f32 n1_i n1_i))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))) |
(*.f32 (-.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (*.f32 n1_i n1_i))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))) #s(literal 1 binary32))) |
(*.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))))) (*.f32 n1_i (*.f32 (sin.f32 (*.f32 u normAngle)) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))))))) |
(*.f32 (neg.f32 (-.f32 (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))))) (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (*.f32 n1_i n1_i)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))) |
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 u normAngle))))) (*.f32 n1_i n1_i)) (*.f32 n0_i (*.f32 n0_i (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))))))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)))) |
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 1 binary32)) |
(*.f32 (*.f32 n0_i #s(literal 1 binary32)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(+.f32 (*.f32 (sin.f32 normAngle) (cos.f32 (neg.f32 (*.f32 u normAngle)))) (*.f32 (cos.f32 normAngle) (sin.f32 (neg.f32 (*.f32 u normAngle))))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) #s(literal 1 binary32)) |
(neg.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 (sin.f32 normAngle)))) |
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) #s(literal 1 binary32))) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))) |
(/.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (neg.f32 (sin.f32 normAngle))) |
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle)) |
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) #s(literal 1 binary32))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 (sin.f32 normAngle)))) |
(*.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u normAngle)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) |
(+.f32 normAngle (neg.f32 (*.f32 u normAngle))) |
(+.f32 (neg.f32 (*.f32 u normAngle)) normAngle) |
(fma.f32 #s(literal 1 binary32) normAngle (neg.f32 (*.f32 u normAngle))) |
(fma.f32 normAngle #s(literal 1 binary32) (neg.f32 (*.f32 u normAngle))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u))) (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u) (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) normAngle))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle))) |
(/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u)))) |
(/.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) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 #s(literal 1 binary32) u)) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u))))) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) normAngle)) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) u))) |
(/.f32 (+.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (neg.f32 (*.f32 u normAngle)) #s(literal 3 binary32))) (+.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (neg.f32 (*.f32 u normAngle)) (neg.f32 (*.f32 u normAngle))) (*.f32 normAngle (neg.f32 (*.f32 u normAngle)))))) |
(/.f32 (-.f32 (*.f32 normAngle normAngle) (*.f32 (neg.f32 (*.f32 u normAngle)) (neg.f32 (*.f32 u normAngle)))) (-.f32 normAngle (neg.f32 (*.f32 u normAngle)))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u)))) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) normAngle)) |
(*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u))))) |
(*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) normAngle) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 #s(literal 1 binary32) u))))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))) |
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) |
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) #s(literal 1 binary32)) |
(*.f32 (*.f32 n1_i #s(literal 1 binary32)) (sin.f32 (*.f32 u normAngle))) |
| 1× | egg-herbie |
| 5816× | *-lowering-*.f32 |
| 5816× | *-lowering-*.f64 |
| 3412× | +-lowering-+.f64 |
| 3412× | +-lowering-+.f32 |
| 2116× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 567 | 6349 |
| 1 | 2023 | 5740 |
| 0 | 8419 | 5740 |
| 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))))))) |
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)) |
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)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
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)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* 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)) (* 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 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* 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))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))) (+ (* -1/5040 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/120 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))))))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* 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))))))) |
(* n0_i (sin normAngle)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle)))))))))))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u))) |
(* normAngle (+ (* 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)))))))) |
(* normAngle (+ (* 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))))))))))) |
(* normAngle (+ (* 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)))))))))))))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(* n1_i (sin (* normAngle u))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* n1_i (sin (* normAngle u))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(* n0_i (sin normAngle)) |
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))))))))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(* n0_i (* normAngle (- 1 u))) |
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u)))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5)))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5))))))))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (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 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u)) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(sin (* normAngle (- 1 u))) |
(/ (* normAngle u) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
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)) |
(* n1_i (* normAngle u)) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 3) (pow u 2)))) (* n1_i normAngle))) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/120 (* n1_i (* (pow normAngle 5) (pow u 2)))))))) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* (pow u 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 7) (pow u 2)))) (* 1/120 (* n1_i (pow normAngle 5))))))))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (* normAngle u)) |
(* normAngle (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) (* n1_i u))) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* 1/120 (* n1_i (* (pow normAngle 2) (pow u 5)))))))) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 2) (pow u 7)))) (* 1/120 (* n1_i (pow u 5))))))))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
| Outputs |
|---|
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 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)))))) |
(+.f32 n0_i (*.f32 u (+.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (-.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 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)))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (*.f32 u (+.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) (*.f32 u (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 n1_i (*.f32 normAngle normAngle)))) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (cos.f32 normAngle) #s(literal 1/6 binary32))) (sin.f32 normAngle))))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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)) |
(+.f32 (*.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))))))) |
(+.f32 (*.f32 u n1_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #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 (* 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))))))) |
(+.f32 (*.f32 u n1_i) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 normAngle (*.f32 normAngle (-.f32 (*.f32 #s(literal 1/120 binary32) (+.f32 (*.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))))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) #s(literal 1/120 binary32))))))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 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))) (* (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))))))) |
(+.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 #s(literal 1/120 binary32) (+.f32 (*.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))))) (-.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/5040 binary32) (+.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32))))) (+.f32 (+.f32 (+.f32 (*.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) #s(literal -1/5040 binary32)) (*.f32 #s(literal -1/720 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u)))) (*.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (-.f32 (*.f32 n0_i (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/120 binary32)))) (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u))))) (-.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (*.f32 n1_i #s(literal 1/120 binary32))) (*.f32 (*.f32 u n1_i) #s(literal 1/120 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))))))))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) #s(literal 1/120 binary32)))))))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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 (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.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 (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.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 (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.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))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))))) (neg.f32 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)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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 (+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (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 (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) (/.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) (/.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) (/.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) (neg.f32 n1_i)) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(-.f32 n0_i (/.f32 (*.f32 n0_i (*.f32 u (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 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)))))))) |
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 u (+.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) (*.f32 n0_i (*.f32 normAngle (*.f32 normAngle normAngle)))) (*.f32 u #s(literal 1/6 binary32))) (sin.f32 normAngle)))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (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 (* -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)))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))))) |
(+ (* 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)))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 normAngle (*.f32 normAngle (-.f32 (-.f32 (*.f32 n0_i (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/120 binary32)))) (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u))))))) |
(+ (* 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)))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (-.f32 (*.f32 n0_i (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/120 binary32)))) (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))))) (+.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/5040 binary32))) (*.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))))))) (-.f32 (-.f32 (*.f32 n0_i (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/120 binary32)))) (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u))))))) |
(/ (* 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))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 u (cos.f32 normAngle)) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) #s(literal 1/6 binary32))) (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (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 (* -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) |
(+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))) (-.f32 #s(literal 1 binary32) 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 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u))))) (-.f32 #s(literal 1 binary32) 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 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (-.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/5040 binary32)) (*.f32 #s(literal -1/720 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u))))))) (+.f32 (*.f32 #s(literal 1/36 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/120 binary32)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u))))) (-.f32 #s(literal 1 binary32) 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)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 u (*.f32 normAngle n1_i)) (sin.f32 normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 u (+.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 normAngle (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (*.f32 u u))) (sin.f32 normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 u (+.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 (*.f32 u u) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 n1_i (*.f32 normAngle normAngle)))) (sin.f32 normAngle)) (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (*.f32 (*.f32 u u) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)))))))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 u (+.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (*.f32 (*.f32 u u) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 n1_i (*.f32 normAngle normAngle)))) (sin.f32 normAngle)) (*.f32 (*.f32 u u) (+.f32 (/.f32 (*.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 (*.f32 u u) #s(literal -1/5040 binary32))) (sin.f32 normAngle)) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (*.f32 n1_i #s(literal 1/120 binary32))) (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)) |
(*.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)) |
(*.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)) |
(*.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)) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
(* n1_i u) |
(*.f32 u n1_i) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+.f32 (*.f32 u n1_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (*.f32 n1_i #s(literal 1/120 binary32))) (*.f32 (*.f32 u n1_i) #s(literal 1/120 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (-.f32 (*.f32 n1_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32)))) (+.f32 (*.f32 u (*.f32 n1_i #s(literal -1/5040 binary32))) (*.f32 #s(literal -1/720 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))))) (*.f32 #s(literal -1/6 binary32) (-.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (*.f32 n1_i #s(literal 1/120 binary32))) (*.f32 (*.f32 u n1_i) #s(literal 1/120 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))))))) (-.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (*.f32 n1_i #s(literal 1/120 binary32))) (*.f32 (*.f32 u n1_i) #s(literal 1/120 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u)))))) |
(/ (* 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)) |
(*.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)) |
(*.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)) |
(*.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)) |
(*.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)) |
(*.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)) |
(*.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)) |
(*.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)) |
(*.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)) |
(*.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)) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 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)))))) |
(+.f32 n0_i (*.f32 u (+.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (-.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 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)))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (*.f32 u (+.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) (*.f32 u (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 n1_i (*.f32 normAngle normAngle)))) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (cos.f32 normAngle) #s(literal 1/6 binary32))) (sin.f32 normAngle))))))))) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle)) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+.f32 (*.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)) (* n1_i u))))))) |
(+.f32 (*.f32 u n1_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #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 (* 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 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(+.f32 (*.f32 u n1_i) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (+.f32 (*.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))))) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))))))) (*.f32 #s(literal -1/120 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 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))) (* (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))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))) (+ (* -1/5040 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/120 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))))))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(+.f32 (*.f32 u n1_i) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 #s(literal 1/120 binary32) (+.f32 (*.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))))) (-.f32 (*.f32 normAngle (*.f32 normAngle (-.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (+.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32))))) (+.f32 (*.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) #s(literal -1/5040 binary32)) (*.f32 #s(literal 1/120 binary32) (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))))) (*.f32 #s(literal -1/6 binary32) (+.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (+.f32 (*.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))))) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))))))) (*.f32 #s(literal -1/120 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) #s(literal 1/120 binary32))))))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))))))) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (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))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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 (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.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 (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.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 (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.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))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))))) (neg.f32 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)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+.f32 (*.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))) |
(+.f32 (*.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))) |
(+.f32 (*.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 (+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (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 (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) (/.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) (/.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) (/.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) (neg.f32 n1_i)) |
(* n0_i (sin normAngle)) |
(*.f32 n0_i (sin.f32 normAngle)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)))) |
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle))))) |
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (*.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))) (sin.f32 normAngle))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle)))))))))))) |
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) (*.f32 u (+.f32 (*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 n1_i (*.f32 normAngle normAngle)))) (*.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (cos.f32 normAngle) #s(literal 1/6 binary32)))))))))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u))) |
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))) |
(* normAngle (+ (* 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)))))))) |
(*.f32 normAngle (+.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 u (*.f32 (*.f32 u u) n1_i))) (*.f32 normAngle normAngle))))) |
(* normAngle (+ (* 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))))))))))) |
(*.f32 normAngle (+.f32 (*.f32 u n1_i) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 u (*.f32 (*.f32 u u) n1_i)))) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (+.f32 (*.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))))))))))) |
(* normAngle (+ (* 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)))))))))))))) |
(*.f32 normAngle (+.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 u (*.f32 (*.f32 u u) n1_i)))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal 1/120 binary32) (+.f32 (*.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))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/5040 binary32) (+.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32))))))))))))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(*.f32 n0_i (+.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i n0_i)))) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(*.f32 n0_i (+.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i n0_i)))) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(*.f32 n0_i (+.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i n0_i)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(*.f32 (*.f32 (neg.f32 n0_i) #s(literal -1 binary32)) (+.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i n0_i)))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(*.f32 (*.f32 (neg.f32 n0_i) #s(literal -1 binary32)) (+.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i n0_i)))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(*.f32 (*.f32 (neg.f32 n0_i) #s(literal -1 binary32)) (+.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i n0_i)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(*.f32 n1_i (+.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i n1_i)))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(*.f32 n1_i (+.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i n1_i)))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(*.f32 n1_i (+.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i n1_i)))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(*.f32 (-.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(*.f32 (-.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(*.f32 (-.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i n1_i))) (neg.f32 n1_i)) |
(* n0_i (sin normAngle)) |
(*.f32 n0_i (sin.f32 normAngle)) |
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle))) |
(-.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 n0_i (*.f32 u (*.f32 normAngle (cos.f32 normAngle))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))))))) |
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (-.f32 (*.f32 (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle)))) (sin.f32 normAngle)) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))))))))) |
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (-.f32 (*.f32 u (+.f32 (*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (*.f32 (*.f32 (cos.f32 normAngle) (*.f32 n0_i (*.f32 normAngle (*.f32 normAngle normAngle)))) (*.f32 u #s(literal 1/6 binary32))))) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (* normAngle (- 1 u))) |
(*.f32 n0_i (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u)))) |
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n0_i (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5)))))))) |
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5))))))))) |
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))))))))))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(sin normAngle) |
(sin.f32 normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(-.f32 (sin.f32 normAngle) (*.f32 u (*.f32 normAngle (cos.f32 normAngle)))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(+.f32 (sin.f32 normAngle) (*.f32 u (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (*.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (*.f32 normAngle (cos.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))))))))) |
(+.f32 (sin.f32 normAngle) (*.f32 u (-.f32 (*.f32 u (+.f32 (*.f32 (sin.f32 normAngle) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) (*.f32 (*.f32 u (cos.f32 normAngle)) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) #s(literal 1/6 binary32))))) (*.f32 normAngle (cos.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 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u))) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(*.f32 normAngle (+.f32 (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle (*.f32 normAngle (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))))) (-.f32 #s(literal 1 binary32) u))) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u)) |
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 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))) |
(/ (* normAngle u) (sin normAngle)) |
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(*.f32 u (+.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u u)) (*.f32 normAngle (*.f32 normAngle 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 (+.f32 (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (*.f32 u u) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (sin.f32 normAngle)) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (*.f32 (*.f32 u (/.f32 u (sin.f32 normAngle))) #s(literal 1/120 binary32))))))) |
(* 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 (+.f32 (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (*.f32 u u) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (sin.f32 normAngle)) (*.f32 (*.f32 u u) (+.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u (/.f32 u (sin.f32 normAngle)))) (/.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (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)))) |
(+.f32 u (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 u (*.f32 u u)) u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(+.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (*.f32 u #s(literal 1/120 binary32))) (*.f32 #s(literal 1/36 binary32) (-.f32 (*.f32 u (*.f32 u u)) u)))) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 u (*.f32 u u)) u))))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(+.f32 u (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (-.f32 (*.f32 normAngle (*.f32 normAngle (-.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32))) (+.f32 (*.f32 u #s(literal -1/5040 binary32)) (*.f32 #s(literal -1/720 binary32) (-.f32 (*.f32 u (*.f32 u u)) u)))) (*.f32 #s(literal -1/6 binary32) (-.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (*.f32 u #s(literal 1/120 binary32))) (*.f32 #s(literal 1/36 binary32) (-.f32 (*.f32 u (*.f32 u u)) u))))))) (+.f32 (*.f32 #s(literal 1/36 binary32) (-.f32 (*.f32 u (*.f32 u u)) u)) (*.f32 u #s(literal 1/120 binary32))))))) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 u (*.f32 u u)) 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)) |
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 (-.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 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)) |
(* n1_i (* normAngle u)) |
(*.f32 u (*.f32 normAngle n1_i)) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 3) (pow u 2)))) (* n1_i normAngle))) |
(*.f32 u (+.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 normAngle (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (*.f32 u u))))) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/120 (* n1_i (* (pow normAngle 5) (pow u 2)))))))) |
(*.f32 u (+.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 u u) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 n1_i (*.f32 normAngle normAngle)))) (*.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (*.f32 n1_i #s(literal 1/120 binary32)))))))) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* (pow u 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 7) (pow u 2)))) (* 1/120 (* n1_i (pow normAngle 5))))))))) |
(*.f32 u (+.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 u u) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 n1_i (*.f32 normAngle normAngle)))) (*.f32 (*.f32 u u) (+.f32 (*.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 (*.f32 u u) #s(literal -1/5040 binary32))) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (*.f32 n1_i #s(literal 1/120 binary32))))))))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (* normAngle u)) |
(*.f32 u (*.f32 normAngle n1_i)) |
(* normAngle (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) (* n1_i u))) |
(*.f32 normAngle (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 u (*.f32 (*.f32 u u) n1_i)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* 1/120 (* n1_i (* (pow normAngle 2) (pow u 5)))))))) |
(*.f32 normAngle (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 (*.f32 u u) n1_i))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (pow.f32 u #s(literal 5 binary32)) (*.f32 n1_i #s(literal 1/120 binary32)))))))) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 2) (pow u 7)))) (* 1/120 (* n1_i (pow u 5))))))))) |
(*.f32 normAngle (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 (*.f32 u u) n1_i))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (*.f32 n1_i #s(literal 1/120 binary32))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32))))))))))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
Compiled 33642 to 1760 computations (94.8% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 917 | 19 | 936 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 919 | 19 | 938 |
| Status | Accuracy | Program |
|---|---|---|
| 97.5% | (fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))) | |
| ▶ | 75.2% | (/.f32 (+.f32 (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) |
| 75.0% | (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 u (+.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 normAngle (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (*.f32 u u)))))) (sin.f32 normAngle)) | |
| 74.6% | (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 u (*.f32 normAngle n1_i))) (sin.f32 normAngle)) | |
| 74.2% | (/.f32 (+.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n0_i (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) | |
| 74.4% | (/.f32 (*.f32 normAngle (+.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 u (*.f32 (*.f32 u u) n1_i))) (*.f32 normAngle normAngle))))) (sin.f32 normAngle)) | |
| 72.8% | (/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))) (sin.f32 normAngle)) | |
| 49.6% | (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) | |
| 97.2% | (+.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) | |
| 97.2% | (+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 normAngle (/.f32 #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)) | |
| ▶ | 97.0% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i)) |
| 97.4% | (+.f32 (*.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)))) | |
| ▶ | 98.6% | (+.f32 (*.f32 u n1_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
| 97.2% | (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) | |
| 80.3% | (+.f32 n0_i (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 88.7% | (+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))) | |
| ▶ | 36.4% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
| 62.1% | (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) | |
| ▶ | 48.6% | n0_i |
Compiled 930 to 564 computations (39.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 32 | (sin.f32 (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle)) |
| ✓ | cost-diff | 32 | (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle)) n0_i) |
| ✓ | cost-diff | 32 | (+.f32 (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) |
| ✓ | cost-diff | 32 | (/.f32 (+.f32 (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) |
| ✓ | cost-diff | 0 | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
| ✓ | cost-diff | 64 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | cost-diff | 64 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| ✓ | cost-diff | 64 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i)) |
| ✓ | cost-diff | 0 | (/.f32 n1_i (sin.f32 normAngle)) |
| ✓ | cost-diff | 0 | (*.f32 u normAngle) |
| ✓ | cost-diff | 0 | (sin.f32 (*.f32 u normAngle)) |
| ✓ | cost-diff | 0 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
| ✓ | cost-diff | 192 | (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))))) |
| ✓ | cost-diff | 192 | (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) |
| ✓ | cost-diff | 192 | (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
| ✓ | cost-diff | 224 | (+.f32 (*.f32 u n1_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
| 3470× | +-lowering-+.f64 |
| 3470× | +-lowering-+.f32 |
| 2504× | *-lowering-*.f32 |
| 2504× | *-lowering-*.f64 |
| 1898× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 387 |
| 1 | 128 | 365 |
| 2 | 399 | 349 |
| 3 | 1919 | 345 |
| 4 | 7914 | 345 |
| 0 | 8620 | 345 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* u n1_i) (+ (* (* normAngle normAngle) (+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) (* n0_i (- 1 u)))) |
(* u n1_i) |
u |
n1_i |
(+ (* (* normAngle normAngle) (+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) (* n0_i (- 1 u))) |
(* (* normAngle normAngle) (+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) |
(* normAngle normAngle) |
normAngle |
(+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6))))) |
(* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) |
(* n0_i (+ -1/6 (* u 1/6))) |
n0_i |
(+ -1/6 (* u 1/6)) |
-1/6 |
(* u 1/6) |
1/6 |
(* (- 1 u) (- 1 u)) |
(- 1 u) |
1 |
(- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))) |
(* -1/6 (* n1_i (- (* u (* u u)) u))) |
(* n1_i (- (* u (* u u)) u)) |
(- (* u (* u u)) u) |
(* u (* u u)) |
(* u u) |
(* n0_i (- 1 u)) |
n0_i |
(* (sin (* u normAngle)) (/ n1_i (sin normAngle))) |
(sin (* u normAngle)) |
(* u normAngle) |
u |
normAngle |
(/ n1_i (sin normAngle)) |
n1_i |
(sin normAngle) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* u n1_i)) |
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) |
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) |
(sin (* (- 1 u) normAngle)) |
(* (- 1 u) normAngle) |
(- 1 u) |
1 |
u |
normAngle |
(/ 1 (sin normAngle)) |
(sin normAngle) |
n0_i |
(* u n1_i) |
n1_i |
(/ (+ (* (sin (+ (neg (* u normAngle)) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)) (sin normAngle)) |
(+ (* (sin (+ (neg (* u normAngle)) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)) |
(* (sin (+ (neg (* u normAngle)) normAngle)) n0_i) |
(sin (+ (neg (* u normAngle)) normAngle)) |
(+ (neg (* u normAngle)) normAngle) |
(neg (* u normAngle)) |
(* u normAngle) |
u |
normAngle |
n0_i |
(* (sin (* u normAngle)) n1_i) |
(sin (* u normAngle)) |
n1_i |
(sin normAngle) |
| Outputs |
|---|
(+ (* u n1_i) (+ (* (* normAngle normAngle) (+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) (* n0_i (- 1 u)))) |
(+.f32 n0_i (+.f32 (*.f32 u (+.f32 (neg.f32 n0_i) n1_i)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 u (*.f32 n1_i #s(literal -1/6 binary32))) (+.f32 (*.f32 u u) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 n0_i (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)))))))) |
(* u n1_i) |
(*.f32 u n1_i) |
u |
n1_i |
(+ (* (* normAngle normAngle) (+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) (* n0_i (- 1 u))) |
(+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 u (*.f32 n1_i #s(literal -1/6 binary32))) (+.f32 (*.f32 u u) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 n0_i (+.f32 (*.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))) |
(* (* normAngle normAngle) (+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 u (*.f32 n1_i #s(literal -1/6 binary32))) (+.f32 (*.f32 u u) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 n0_i (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)))))) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6))))) |
(+.f32 (*.f32 (*.f32 u (*.f32 n1_i #s(literal -1/6 binary32))) (+.f32 (*.f32 u u) #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 n0_i (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))))) |
(* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) |
(*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (+ -1/6 (* u 1/6))) |
(*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) |
n0_i |
(+ -1/6 (* u 1/6)) |
(+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) |
-1/6 |
#s(literal -1/6 binary32) |
(* u 1/6) |
(*.f32 u #s(literal 1/6 binary32)) |
1/6 |
#s(literal 1/6 binary32) |
(* (- 1 u) (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
(- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))) |
(+.f32 (*.f32 (*.f32 u (*.f32 n1_i #s(literal -1/6 binary32))) (+.f32 (*.f32 u u) #s(literal -1 binary32))) (*.f32 n0_i (+.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -1/6 binary32))))) |
(* -1/6 (* n1_i (- (* u (* u u)) u))) |
(*.f32 (*.f32 u (*.f32 n1_i #s(literal -1/6 binary32))) (+.f32 (*.f32 u u) #s(literal -1 binary32))) |
(* n1_i (- (* u (* u u)) u)) |
(*.f32 (*.f32 u n1_i) (+.f32 (*.f32 u u) #s(literal -1 binary32))) |
(- (* u (* u u)) u) |
(*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))) |
(* u (* u u)) |
(*.f32 u (*.f32 u u)) |
(* u u) |
(*.f32 u u) |
(* n0_i (- 1 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
n0_i |
(* (sin (* u normAngle)) (/ n1_i (sin normAngle))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
(sin (* u normAngle)) |
(sin.f32 (*.f32 u normAngle)) |
(* u normAngle) |
(*.f32 u normAngle) |
u |
normAngle |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
n1_i |
(sin normAngle) |
(sin.f32 normAngle) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* u n1_i)) |
(+.f32 (*.f32 u n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) |
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(sin (* (- 1 u) normAngle)) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(* (- 1 u) normAngle) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
1 |
#s(literal 1 binary32) |
u |
normAngle |
(/ 1 (sin normAngle)) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin normAngle) |
(sin.f32 normAngle) |
n0_i |
(* u n1_i) |
(*.f32 u n1_i) |
n1_i |
(/ (+ (* (sin (+ (neg (* u normAngle)) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle)) |
(+ (* (sin (+ (neg (* u normAngle)) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)) |
(+.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) |
(* (sin (+ (neg (* u normAngle)) normAngle)) n0_i) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(sin (+ (neg (* u normAngle)) normAngle)) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(+ (neg (* u normAngle)) normAngle) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(neg (* u normAngle)) |
(-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) |
(* u normAngle) |
(*.f32 u normAngle) |
u |
normAngle |
n0_i |
(* (sin (* u normAngle)) n1_i) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(sin (* u normAngle)) |
(sin.f32 (*.f32 u normAngle)) |
n1_i |
(sin normAngle) |
(sin.f32 normAngle) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle) |
| ✓ | accuracy | 99.7% | (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle)) n0_i) |
| ✓ | accuracy | 99.6% | (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) |
| ✓ | accuracy | 75.9% | (/.f32 (+.f32 (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) |
| ✓ | accuracy | 99.8% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i)) |
| ✓ | accuracy | 99.6% | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| ✓ | accuracy | 99.5% | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| ✓ | accuracy | 98.7% | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| ✓ | accuracy | 100.0% | (sin.f32 normAngle) |
| ✓ | accuracy | 100.0% | (sin.f32 (*.f32 u normAngle)) |
| ✓ | accuracy | 99.9% | (/.f32 n1_i (sin.f32 normAngle)) |
| ✓ | accuracy | 95.7% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
| ✓ | accuracy | 99.0% | (*.f32 u #s(literal 1/6 binary32)) |
| ✓ | accuracy | 98.8% | (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
| ✓ | accuracy | 98.7% | (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) |
| ✓ | accuracy | 75.2% | (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))))) |
| 120.0ms | 248× | 0 | valid |
| 25.0ms | 8× | 5 | exit |
Compiled 460 to 45 computations (90.2% saved)
ival-mult: 33.0ms (38.6% of total)ival-sin: 12.0ms (14% of total)ival-div: 11.0ms (12.9% of total)ival-add: 9.0ms (10.5% of total)backward-pass: 8.0ms (9.3% of total)...c/correct-round.rkt:119:19: 8.0ms (9.3% of total)ival-sub: 4.0ms (4.7% of total)ival-neg: 1.0ms (1.2% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* u n1_i) (+ (* (* normAngle normAngle) (+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) (* n0_i (- 1 u))))> |
#<alt (+ (* (* normAngle normAngle) (+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) (* n0_i (- 1 u)))> |
#<alt (* (* normAngle normAngle) (+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6))))))> |
#<alt (+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))> |
#<alt (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))> |
#<alt (sin (* u normAngle))> |
#<alt (* u normAngle)> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* u n1_i))> |
#<alt (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)> |
#<alt (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))> |
#<alt (sin (* (- 1 u) normAngle))> |
#<alt (/ (+ (* (sin (+ (neg (* u normAngle)) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)) (sin normAngle))> |
#<alt (+ (* (sin (+ (neg (* u normAngle)) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i))> |
#<alt (* (sin (+ (neg (* u normAngle)) normAngle)) n0_i)> |
#<alt (sin (+ (neg (* u normAngle)) normAngle))> |
#<alt (+ -1/6 (* u 1/6))> |
#<alt (* (- 1 u) (- 1 u))> |
#<alt (* u 1/6)> |
#<alt (sin normAngle)> |
#<alt (* (- 1 u) normAngle)> |
#<alt (* (sin (* u normAngle)) n1_i)> |
#<alt (+ (neg (* u normAngle)) normAngle)> |
| Outputs |
|---|
#<alt n0_i> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_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) (* 1/6 n0_i)))))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))))))> |
#<alt (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i))))> |
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i)))))> |
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2)))))))> |
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (+ (/ n0_i (pow u 3)) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2))))))))> |
#<alt (* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))> |
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#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i)))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))))> |
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))> |
#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))))> |
#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))))> |
#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))> |
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#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))> |
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#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6))))> |
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#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)) (* n1_i u)))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)) (* n1_i u)))> |
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#<alt (* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (+ (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))) (/ (* n1_i u) n0_i)))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (+ (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))) (/ (* n1_i u) n0_i)))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (+ (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))) (/ (* n1_i u) n0_i)))) u))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))))> |
#<alt (* n0_i (- 1 u))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)))> |
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u))> |
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#<alt (* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) u))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))))> |
#<alt (+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))))))> |
#<alt (+ n0_i (* u (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))))))> |
#<alt (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i))))> |
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#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2))))))> |
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (+ (/ n0_i (pow u 3)) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2)))))))> |
#<alt (* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))> |
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#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))> |
#<alt (* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))))> |
#<alt (* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))))> |
#<alt (* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))))> |
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#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))))> |
#<alt (* n0_i (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))> |
#<alt (* n0_i (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))))> |
#<alt (* n0_i (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))))> |
#<alt (* n0_i (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))))> |
#<alt (* -1 (* n0_i (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))> |
#<alt (* -1 (* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))> |
#<alt (* -1 (* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))> |
#<alt (* -1 (* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))> |
#<alt (* (pow normAngle 2) (* u (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))> |
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#<alt (* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))))> |
#<alt (* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))))> |
#<alt (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i))))> |
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#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2)))))> |
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2)))))> |
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#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))> |
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#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))> |
#<alt (* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))> |
#<alt (* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))> |
#<alt (* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))> |
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#<alt (* n0_i (- (+ 1/6 (+ (* -1/6 (/ (* n1_i (- (pow u 3) u)) n0_i)) (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* 1/6 u)))> |
#<alt (* n0_i (- (+ 1/6 (+ (* -1/6 (/ (* n1_i (- (pow u 3) u)) n0_i)) (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* 1/6 u)))> |
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#<alt (* -1 (* n0_i (- (+ (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 (/ (* n1_i (- (pow u 3) u)) n0_i))) (* -1 (- (* 1/6 u) 1/6)))))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 (/ (* n1_i (- (pow u 3) u)) n0_i))) (* -1 (- (* 1/6 u) 1/6)))))> |
#<alt (* u (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))> |
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#<alt (* u (- (+ (* 1/6 n1_i) (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i))))))) (* 1/6 n0_i)))> |
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#<alt (* (pow u 3) (- (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* 1/6 n0_i) (+ (* 1/6 (/ n1_i (pow u 2))) (* 1/2 (/ n0_i (pow u 2))))))) (* 1/6 (/ n0_i (pow u 2)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))> |
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#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i)) u)) (* -1/2 n0_i)) u)) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i)) u)) (* -1/2 n0_i)) u)) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))> |
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#<alt (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))> |
#<alt (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))> |
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#<alt (* n1_i (- (+ (* -1/6 (- (pow u 3) u)) (/ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) n1_i)) (/ (* n0_i (- (* 1/6 u) 1/6)) n1_i)))> |
#<alt (* n1_i (- (+ (* -1/6 (- (pow u 3) u)) (/ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) n1_i)) (/ (* n0_i (- (* 1/6 u) 1/6)) n1_i)))> |
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))) n1_i)) (* 1/6 (- (pow u 3) u)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))) n1_i)) (* 1/6 (- (pow u 3) u)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))) n1_i)) (* 1/6 (- (pow u 3) u)))))> |
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#<alt (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))> |
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))> |
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#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (* n1_i u)> |
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))> |
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))> |
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))> |
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#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (* normAngle u)> |
#<alt (* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))> |
#<alt (* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))> |
#<alt (* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (* normAngle u)> |
#<alt (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))> |
#<alt (* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))> |
#<alt (* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))> |
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#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i normAngle)> |
#<alt (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)> |
#<alt (/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)> |
#<alt (/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt (/ n1_i (sin normAngle))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ n1_i (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))))> |
#<alt (* n1_i u)> |
#<alt (* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))> |
#<alt (* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))> |
#<alt (* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))> |
#<alt (* n1_i u)> |
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))> |
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))> |
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))))> |
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (* n1_i u)> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i)))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i)))> |
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i)))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i)))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))> |
#<alt (* n1_i u)> |
#<alt (* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))> |
#<alt (* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))> |
#<alt (* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))> |
#<alt (* n1_i u)> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))> |
#<alt n0_i> |
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))> |
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))> |
#<alt (* n0_i (- 1 u))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))> |
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))> |
#<alt 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 (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))) (* 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 (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* 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)) (* 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 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* 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))) (* (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))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))) (+ (* -1/5040 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/120 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))))))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u)))))))> |
#<alt (/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))> |
#<alt (+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle))> |
#<alt (* n0_i (+ (/ (sin (- normAngle (* normAngle u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))> |
#<alt (* n0_i (+ (/ (sin (- normAngle (* normAngle u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))> |
#<alt (* n0_i (+ (/ (sin (- normAngle (* normAngle u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))> |
#<alt (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (- normAngle (* normAngle u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (- normAngle (* normAngle u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (- normAngle (* normAngle u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))> |
#<alt (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle))> |
#<alt (+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))> |
#<alt (+ (/ (* n0_i (sin (- normAngle (* normAngle 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 (* normAngle u)))) (* n1_i (sin normAngle)))))> |
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle)))))> |
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (- normAngle (* normAngle 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 (* normAngle u)))) (* n1_i (sin normAngle)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle)))))))> |
#<alt (* n0_i (sin normAngle))> |
#<alt (+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))))> |
#<alt (+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle)))))> |
#<alt (+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle))))))))))))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (* normAngle (+ (* n0_i (- 1 u)) (* n1_i u)))> |
#<alt (* normAngle (+ (* 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))))))))> |
#<alt (* normAngle (+ (* 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)))))))))))> |
#<alt (* normAngle (+ (* 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))))))))))))))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u))))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (+ (sin (- normAngle (* normAngle u))) (/ (* n1_i (sin (* normAngle u))) n0_i)))> |
#<alt (* n0_i (+ (sin (- normAngle (* normAngle u))) (/ (* n1_i (sin (* normAngle u))) n0_i)))> |
#<alt (* n0_i (+ (sin (- normAngle (* normAngle u))) (/ (* n1_i (sin (* normAngle u))) n0_i)))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* -1 (* n0_i (+ (* -1 (sin (- normAngle (* normAngle u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (sin (- normAngle (* normAngle u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (sin (- normAngle (* normAngle u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i)))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i)))> |
#<alt (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i)))> |
#<alt (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i)))))> |
#<alt (* n0_i (sin normAngle))> |
#<alt (+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle)))> |
#<alt (+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))))))> |
#<alt (+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle))))))))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (* normAngle (- 1 u)))> |
#<alt (* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u))))> |
#<alt (* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5))))))))> |
#<alt (* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5)))))))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u)))))> |
#<alt (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u)))))> |
#<alt (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u)))))> |
#<alt (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u)))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<alt (* n0_i (sin (- normAngle (* normAngle u))))> |
#<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 (* normAngle u)))> |
#<alt (sin (- normAngle (* normAngle u)))> |
#<alt (sin (- normAngle (* normAngle u)))> |
#<alt (sin (- normAngle (* normAngle u)))> |
#<alt (sin (- normAngle (* normAngle u)))> |
#<alt (sin (- normAngle (* normAngle u)))> |
#<alt (sin (- normAngle (* normAngle u)))> |
#<alt (sin (- normAngle (* normAngle 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 (* normAngle u)))> |
#<alt (sin (- normAngle (* normAngle u)))> |
#<alt (sin (- normAngle (* normAngle u)))> |
#<alt (sin (- normAngle (* normAngle u)))> |
#<alt (sin (neg (+ (* -1 normAngle) (* normAngle u))))> |
#<alt (sin (neg (+ (* -1 normAngle) (* normAngle u))))> |
#<alt (sin (neg (+ (* -1 normAngle) (* normAngle u))))> |
#<alt (sin (neg (+ (* -1 normAngle) (* normAngle u))))> |
#<alt -1/6> |
#<alt (- (* 1/6 u) 1/6)> |
#<alt (- (* 1/6 u) 1/6)> |
#<alt (- (* 1/6 u) 1/6)> |
#<alt (* 1/6 u)> |
#<alt (* u (- 1/6 (* 1/6 (/ 1 u))))> |
#<alt (* u (- 1/6 (* 1/6 (/ 1 u))))> |
#<alt (* u (- 1/6 (* 1/6 (/ 1 u))))> |
#<alt (* 1/6 u)> |
#<alt (* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))> |
#<alt (* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))> |
#<alt (* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))> |
#<alt 1> |
#<alt (+ 1 (* -2 u))> |
#<alt (+ 1 (* u (- u 2)))> |
#<alt (+ 1 (* u (- u 2)))> |
#<alt (pow u 2)> |
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))> |
#<alt (pow u 2)> |
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))> |
#<alt (* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))> |
#<alt (* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))> |
#<alt (* 1/6 u)> |
#<alt (* 1/6 u)> |
#<alt (* 1/6 u)> |
#<alt (* 1/6 u)> |
#<alt (* 1/6 u)> |
#<alt (* 1/6 u)> |
#<alt (* 1/6 u)> |
#<alt (* 1/6 u)> |
#<alt (* 1/6 u)> |
#<alt (* 1/6 u)> |
#<alt (* 1/6 u)> |
#<alt (* 1/6 u)> |
#<alt normAngle> |
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))> |
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))> |
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt (sin normAngle)> |
#<alt normAngle> |
#<alt (+ normAngle (* -1 (* normAngle u)))> |
#<alt (+ normAngle (* -1 (* normAngle u)))> |
#<alt (+ normAngle (* -1 (* normAngle u)))> |
#<alt (* -1 (* normAngle u))> |
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))> |
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))> |
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))> |
#<alt (* -1 (* normAngle u))> |
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))> |
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))> |
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* normAngle (- 1 u))> |
#<alt (* n1_i (* normAngle u))> |
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 3) (pow u 2)))) (* n1_i normAngle)))> |
#<alt (* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/120 (* n1_i (* (pow normAngle 5) (pow u 2))))))))> |
#<alt (* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* (pow u 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 7) (pow u 2)))) (* 1/120 (* n1_i (pow normAngle 5)))))))))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (* normAngle u))> |
#<alt (* normAngle (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) (* n1_i u)))> |
#<alt (* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* 1/120 (* n1_i (* (pow normAngle 2) (pow u 5))))))))> |
#<alt (* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 2) (pow u 7)))) (* 1/120 (* n1_i (pow u 5)))))))))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt (* n1_i (sin (* normAngle u)))> |
#<alt normAngle> |
#<alt (+ normAngle (* -1 (* normAngle u)))> |
#<alt (+ normAngle (* -1 (* normAngle u)))> |
#<alt (+ normAngle (* -1 (* normAngle u)))> |
#<alt (* -1 (* normAngle u))> |
#<alt (* u (- (/ normAngle u) normAngle))> |
#<alt (* u (- (/ normAngle u) normAngle))> |
#<alt (* u (- (/ normAngle u) normAngle))> |
#<alt (* -1 (* normAngle u))> |
#<alt (* -1 (* u (- (* -1 (/ normAngle u)) (* -1 normAngle))))> |
#<alt (* -1 (* u (- (* -1 (/ normAngle u)) (* -1 normAngle))))> |
#<alt (* -1 (* u (- (* -1 (/ normAngle u)) (* -1 normAngle))))> |
#<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 (* -1 u)))> |
#<alt (* normAngle (+ 1 (* -1 u)))> |
#<alt (* normAngle (+ 1 (* -1 u)))> |
#<alt (* normAngle (+ 1 (* -1 u)))> |
177 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | n1_i | @ | -inf | (+ (* u n1_i) (+ (* (* normAngle normAngle) (+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) (* n0_i (- 1 u)))) |
| 4.0ms | u | @ | inf | (+ (neg (* u normAngle)) normAngle) |
| 3.0ms | normAngle | @ | 0 | (* (* normAngle normAngle) (+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) |
| 2.0ms | n1_i | @ | 0 | (+ (* u n1_i) (+ (* (* normAngle normAngle) (+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) (* n0_i (- 1 u)))) |
| 1.0ms | n0_i | @ | 0 | (+ (* u n1_i) (+ (* (* normAngle normAngle) (+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) (* n0_i (- 1 u)))) |
| 1× | batch-egg-rewrite |
| 4040× | *-lowering-*.f32 |
| 4040× | *-lowering-*.f64 |
| 1780× | pow-lowering-pow.f64 |
| 1780× | pow-lowering-pow.f32 |
| 1636× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 266 |
| 1 | 278 | 250 |
| 2 | 2711 | 250 |
| 0 | 8485 | 250 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* u n1_i) (+ (* (* normAngle normAngle) (+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) (* n0_i (- 1 u)))) |
(+ (* (* normAngle normAngle) (+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) (* n0_i (- 1 u))) |
(* (* normAngle normAngle) (+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) |
(+ (* (* n0_i (+ -1/6 (* u 1/6))) (* (- 1 u) (- 1 u))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6))))) |
(* (sin (* u normAngle)) (/ n1_i (sin normAngle))) |
(sin (* u normAngle)) |
(* u normAngle) |
(/ n1_i (sin normAngle)) |
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* u n1_i)) |
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) |
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) |
(sin (* (- 1 u) normAngle)) |
(/ (+ (* (sin (+ (neg (* u normAngle)) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)) (sin normAngle)) |
(+ (* (sin (+ (neg (* u normAngle)) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)) |
(* (sin (+ (neg (* u normAngle)) normAngle)) n0_i) |
(sin (+ (neg (* u normAngle)) normAngle)) |
(+ -1/6 (* u 1/6)) |
(* (- 1 u) (- 1 u)) |
(* u 1/6) |
(sin normAngle) |
(* (- 1 u) normAngle) |
(* (sin (* u normAngle)) n1_i) |
(+ (neg (* u normAngle)) normAngle) |
| Outputs |
|---|
(+.f32 (*.f32 u n1_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))))) |
(+.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 u n1_i)) |
(+.f32 (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+.f32 (+.f32 (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))))))) |
(pow.f32 (/.f32 (+.f32 (*.f32 u (*.f32 n1_i (*.f32 u n1_i))) (*.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 u n1_i)))) (+.f32 (*.f32 (*.f32 u n1_i) (*.f32 u (*.f32 n1_i (*.f32 u n1_i)))) (*.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 (*.f32 u n1_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 u (*.f32 n1_i (*.f32 u n1_i))) (*.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) #s(literal -1 binary32)) |
(fma.f32 u n1_i (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(fma.f32 n1_i u (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(-.f32 (/.f32 (*.f32 u (*.f32 n1_i (*.f32 u n1_i))) (-.f32 (*.f32 u n1_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (/.f32 (*.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 u n1_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 u (*.f32 n1_i (*.f32 u n1_i))) (*.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 u n1_i)))) (+.f32 (*.f32 (*.f32 u n1_i) (*.f32 u (*.f32 n1_i (*.f32 u n1_i)))) (*.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))) |
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(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u #s(literal 1/6 binary32)) (-.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)))) (+.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) u)) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal 1/36 binary32))))) |
(/.f32 (+.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32))) (+.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u #s(literal 1/6 binary32)) (-.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))))) |
(/.f32 (+.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32))) (+.f32 (*.f32 (*.f32 u u) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (*.f32 #s(literal -1/36 binary32) u)))) |
(/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal 1/36 binary32))) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) u))) |
(/.f32 (neg.f32 (+.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32)))) (neg.f32 (+.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u #s(literal 1/6 binary32)) (-.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal 1/36 binary32)))) (neg.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) u)))) |
(/.f32 (-.f32 (*.f32 (*.f32 u u) #s(literal 1/36 binary32)) #s(literal 1/36 binary32)) (-.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) |
(*.f32 (+.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 u (*.f32 u u)) #s(literal 1/216 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u #s(literal 1/6 binary32)) (-.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)))))) |
(*.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal 1/36 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) u)))) |
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 2 binary32))) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 u))) |
(+.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) u))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) |
(pow.f32 (exp.f32 (log1p.f32 (neg.f32 u))) #s(literal 2 binary32)) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 u #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 u #s(literal 1 binary32)))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 u #s(literal 1 binary32)))) (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 u #s(literal 1 binary32)))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 u #s(literal 1 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 u #s(literal 1 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal 1 binary32))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 u #s(literal 1 binary32))))) #s(literal 2 binary32))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) #s(literal 2 binary32))) |
(*.f32 (exp.f32 (log1p.f32 (neg.f32 u))) (exp.f32 (log1p.f32 (neg.f32 u)))) |
(*.f32 u #s(literal 1/6 binary32)) |
(*.f32 #s(literal 1/6 binary32) u) |
(exp.f32 (neg.f32 (*.f32 (log.f32 (sin.f32 normAngle)) #s(literal -1 binary32)))) |
(sin.f32 normAngle) |
(pow.f32 (sin.f32 normAngle) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 normAngle) #s(literal 1 binary32)) |
(/.f32 (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)) #s(literal -1 binary32)) |
(*.f32 (sin.f32 normAngle) #s(literal 1 binary32)) |
(+.f32 normAngle (-.f32 #s(literal 0 binary32) (*.f32 u normAngle))) |
(+.f32 (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) normAngle) |
(+.f32 (*.f32 normAngle #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 u normAngle))) |
(+.f32 (*.f32 #s(literal 1 binary32) normAngle) (-.f32 #s(literal 0 binary32) (*.f32 u normAngle))) |
(pow.f32 (/.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle (-.f32 normAngle (-.f32 #s(literal 0 binary32) (*.f32 u normAngle))))) (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle normAngle)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) normAngle) (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle normAngle))) #s(literal -1 binary32)) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(fma.f32 (neg.f32 u) normAngle normAngle) |
(fma.f32 #s(literal -1 binary32) (*.f32 u normAngle) normAngle) |
(-.f32 normAngle (*.f32 u normAngle)) |
(-.f32 #s(literal 0 binary32) (-.f32 (*.f32 u normAngle) normAngle)) |
(-.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) normAngle)) (/.f32 (*.f32 normAngle normAngle) (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) normAngle))) |
(-.f32 (+.f32 normAngle #s(literal 0 binary32)) (*.f32 u normAngle)) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle (-.f32 normAngle (-.f32 #s(literal 0 binary32) (*.f32 u normAngle))))) (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle normAngle))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) normAngle) (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle normAngle)))) |
(/.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle normAngle))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle (-.f32 normAngle (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)))))) |
(/.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle normAngle))) (+.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)))))) |
(/.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle normAngle)) (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) normAngle)) |
(/.f32 (neg.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle normAngle)))) (neg.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle (-.f32 normAngle (-.f32 #s(literal 0 binary32) (*.f32 u normAngle))))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle normAngle))) (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) normAngle))) |
(/.f32 (-.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (*.f32 u u))) (-.f32 normAngle (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 u #s(literal 1 binary32))))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 u #s(literal 1 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle normAngle))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle (-.f32 normAngle (-.f32 #s(literal 0 binary32) (*.f32 u normAngle))))))) |
(*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) normAngle))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) |
(+.f32 normAngle (-.f32 #s(literal 0 binary32) (*.f32 u normAngle))) |
(+.f32 (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) normAngle) |
(+.f32 (*.f32 normAngle #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 u normAngle))) |
(+.f32 (*.f32 #s(literal 1 binary32) normAngle) (-.f32 #s(literal 0 binary32) (*.f32 u normAngle))) |
(pow.f32 (/.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle (-.f32 normAngle (-.f32 #s(literal 0 binary32) (*.f32 u normAngle))))) (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle normAngle)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) normAngle) (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle normAngle))) #s(literal -1 binary32)) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(fma.f32 (neg.f32 u) normAngle normAngle) |
(fma.f32 #s(literal -1 binary32) (*.f32 u normAngle) normAngle) |
(-.f32 normAngle (*.f32 u normAngle)) |
(-.f32 #s(literal 0 binary32) (-.f32 (*.f32 u normAngle) normAngle)) |
(-.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) normAngle)) (/.f32 (*.f32 normAngle normAngle) (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) normAngle))) |
(-.f32 (+.f32 normAngle #s(literal 0 binary32)) (*.f32 u normAngle)) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle (-.f32 normAngle (-.f32 #s(literal 0 binary32) (*.f32 u normAngle))))) (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle normAngle))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) normAngle) (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle normAngle)))) |
(/.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle normAngle))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle (-.f32 normAngle (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)))))) |
(/.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle normAngle))) (+.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)))))) |
(/.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle normAngle)) (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) normAngle)) |
(/.f32 (neg.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle normAngle)))) (neg.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle (-.f32 normAngle (-.f32 #s(literal 0 binary32) (*.f32 u normAngle))))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle normAngle))) (neg.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) normAngle))) |
(/.f32 (-.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (*.f32 u u))) (-.f32 normAngle (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 u #s(literal 1 binary32))))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 u #s(literal 1 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 normAngle normAngle)))) (*.f32 normAngle (*.f32 normAngle normAngle))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle (-.f32 normAngle (-.f32 #s(literal 0 binary32) (*.f32 u normAngle))))))) |
(*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) normAngle))) |
| 1× | egg-herbie |
| 5948× | +-lowering-+.f64 |
| 5948× | +-lowering-+.f32 |
| 5482× | *-lowering-*.f32 |
| 5482× | *-lowering-*.f64 |
| 1484× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 945 | 12538 |
| 1 | 3435 | 11151 |
| 0 | 8481 | 11151 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
n0_i |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 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) (* 1/6 n0_i)))))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))))))) |
(* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2))))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (+ (/ n0_i (pow u 3)) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2)))))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(* -1 (* (pow u 3) (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i)))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6)))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)) (* n1_i u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)) (* n1_i u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)) (* n1_i u))) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (+ (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))) (/ (* n1_i u) n0_i)))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (+ (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))) (/ (* n1_i u) n0_i)))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (+ (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))) (/ (* n1_i u) n0_i)))) u)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u))) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) u)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))) |
n0_i |
(+ n0_i (* u (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))))) |
(+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))))) |
(+ n0_i (* u (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))))) |
(* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2)))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (+ (/ n0_i (pow u 3)) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2))))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(* -1 (* (pow u 3) (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))) |
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))) |
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) |
(* n0_i (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) |
(* n0_i (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) |
(* n0_i (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) |
(* n0_i (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) |
(* -1 (* n0_i (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))) |
(* -1 (* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))) |
(* -1 (* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))) |
(* -1 (* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))) |
(* (pow normAngle 2) (* u (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))) |
(* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))) |
(* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))) |
(* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))) |
(* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(* -1 (* (pow u 3) (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))) |
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))) |
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(* -1 (* n1_i (+ (* -1 (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(* -1 (* n1_i (+ (* -1 (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(* -1 (* n1_i (+ (* -1 (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) |
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) |
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) |
(* n0_i (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))) |
(* n0_i (- (+ 1/6 (+ (* -1/6 (/ (* n1_i (- (pow u 3) u)) n0_i)) (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* 1/6 u))) |
(* n0_i (- (+ 1/6 (+ (* -1/6 (/ (* n1_i (- (pow u 3) u)) n0_i)) (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* 1/6 u))) |
(* n0_i (- (+ 1/6 (+ (* -1/6 (/ (* n1_i (- (pow u 3) u)) n0_i)) (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* 1/6 u))) |
(* -1 (* n0_i (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))) |
(* -1 (* n0_i (- (+ (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 (/ (* n1_i (- (pow u 3) u)) n0_i))) (* -1 (- (* 1/6 u) 1/6))))) |
(* -1 (* n0_i (- (+ (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 (/ (* n1_i (- (pow u 3) u)) n0_i))) (* -1 (- (* 1/6 u) 1/6))))) |
(* -1 (* n0_i (- (+ (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 (/ (* n1_i (- (pow u 3) u)) n0_i))) (* -1 (- (* 1/6 u) 1/6))))) |
(* u (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) |
(* u (- (+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* 1/2 n0_i))) (* 1/6 n0_i))) |
(* u (- (+ (* 1/6 n1_i) (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i))))))) (* 1/6 n0_i))) |
(* u (- (+ (* 1/6 n1_i) (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i))))))) (* 1/6 n0_i))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(* (pow u 3) (- (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* 1/6 n0_i) (+ (* 1/6 (/ n1_i (pow u 2))) (* 1/2 (/ n0_i (pow u 2))))))) (* 1/6 (/ n0_i (pow u 2))))) |
(* (pow u 3) (- (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* 1/6 n0_i) (+ (* 1/6 (/ n1_i (pow u 2))) (* 1/2 (/ n0_i (pow u 2))))))) (* 1/6 (/ n0_i (pow u 2))))) |
(* -1 (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 (/ n0_i u)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i)) u)) (* -1/2 n0_i)) u)) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i)) u)) (* -1/2 n0_i)) u)) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))) |
(- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))) |
(- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))) |
(- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* n1_i (- (+ (* -1/6 (- (pow u 3) u)) (/ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) n1_i)) (/ (* n0_i (- (* 1/6 u) 1/6)) n1_i))) |
(* n1_i (- (+ (* -1/6 (- (pow u 3) u)) (/ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) n1_i)) (/ (* n0_i (- (* 1/6 u) 1/6)) n1_i))) |
(* n1_i (- (+ (* -1/6 (- (pow u 3) u)) (/ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) n1_i)) (/ (* n0_i (- (* 1/6 u) 1/6)) n1_i))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* -1 (* n1_i (+ (* -1 (/ (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))) n1_i)) (* 1/6 (- (pow u 3) u))))) |
(* -1 (* n1_i (+ (* -1 (/ (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))) n1_i)) (* 1/6 (- (pow u 3) u))))) |
(* -1 (* n1_i (+ (* -1 (/ (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))) n1_i)) (* 1/6 (- (pow u 3) u))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* normAngle u) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(* normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(/ n1_i (sin normAngle)) |
n0_i |
(+ n0_i (* u (+ n1_i (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))) |
(* n1_i u) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))))) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))))) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))))) |
(* n1_i u) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle))))))) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle))))))) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle))))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(* n1_i u) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(* n1_i u) |
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i u) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
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)) |
(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))) (* 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 (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* 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)) (* 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 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* 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))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))) (+ (* -1/5040 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/120 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))))))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (- normAngle (* normAngle u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (+ (/ (sin (- normAngle (* normAngle u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (+ (/ (sin (- normAngle (* normAngle u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (- normAngle (* normAngle u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (- normAngle (* normAngle u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (- normAngle (* normAngle u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) |
(+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (- normAngle (* normAngle 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 (* normAngle u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle))))))) |
(* n0_i (sin normAngle)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle)))))))))))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u))) |
(* normAngle (+ (* 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)))))))) |
(* normAngle (+ (* 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))))))))))) |
(* normAngle (+ (* 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)))))))))))))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) |
(* n1_i (sin (* normAngle u))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (+ (sin (- normAngle (* normAngle u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* n0_i (+ (sin (- normAngle (* normAngle u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* n0_i (+ (sin (- normAngle (* normAngle u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* -1 (* n0_i (+ (* -1 (sin (- normAngle (* normAngle u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (sin (- normAngle (* normAngle u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (sin (- normAngle (* normAngle u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i))) |
(* n1_i (sin (* normAngle u))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i))))) |
(* n0_i (sin normAngle)) |
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))))))))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (* normAngle (- 1 u))) |
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u)))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5)))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5))))))))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) |
(* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) |
(* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) |
(* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
(* n0_i (sin (- normAngle (* normAngle 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 (* normAngle u))) |
(sin (- normAngle (* normAngle u))) |
(sin (- normAngle (* normAngle u))) |
(sin (- normAngle (* normAngle u))) |
(sin (- normAngle (* normAngle u))) |
(sin (- normAngle (* normAngle u))) |
(sin (- normAngle (* normAngle u))) |
(sin (- normAngle (* normAngle 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 (* normAngle u))) |
(sin (- normAngle (* normAngle u))) |
(sin (- normAngle (* normAngle u))) |
(sin (- normAngle (* normAngle u))) |
(sin (neg (+ (* -1 normAngle) (* normAngle u)))) |
(sin (neg (+ (* -1 normAngle) (* normAngle u)))) |
(sin (neg (+ (* -1 normAngle) (* normAngle u)))) |
(sin (neg (+ (* -1 normAngle) (* normAngle u)))) |
-1/6 |
(- (* 1/6 u) 1/6) |
(- (* 1/6 u) 1/6) |
(- (* 1/6 u) 1/6) |
(* 1/6 u) |
(* u (- 1/6 (* 1/6 (/ 1 u)))) |
(* u (- 1/6 (* 1/6 (/ 1 u)))) |
(* u (- 1/6 (* 1/6 (/ 1 u)))) |
(* 1/6 u) |
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6))) |
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6))) |
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6))) |
1 |
(+ 1 (* -2 u)) |
(+ 1 (* u (- u 2))) |
(+ 1 (* u (- u 2))) |
(pow u 2) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u)))) |
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u)))) |
(pow u 2) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u)))) |
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u)))) |
(* 1/6 u) |
(* 1/6 u) |
(* 1/6 u) |
(* 1/6 u) |
(* 1/6 u) |
(* 1/6 u) |
(* 1/6 u) |
(* 1/6 u) |
(* 1/6 u) |
(* 1/6 u) |
(* 1/6 u) |
(* 1/6 u) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(sin normAngle) |
(sin normAngle) |
(sin normAngle) |
(sin normAngle) |
(sin normAngle) |
(sin normAngle) |
(sin normAngle) |
(sin normAngle) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(+ normAngle (* -1 (* normAngle u))) |
(+ normAngle (* -1 (* normAngle u))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* -1 (* normAngle u)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* normAngle (- 1 u)) |
(* n1_i (* normAngle u)) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 3) (pow u 2)))) (* n1_i normAngle))) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/120 (* n1_i (* (pow normAngle 5) (pow u 2)))))))) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* (pow u 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 7) (pow u 2)))) (* 1/120 (* n1_i (pow normAngle 5))))))))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (* normAngle u)) |
(* normAngle (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) (* n1_i u))) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* 1/120 (* n1_i (* (pow normAngle 2) (pow u 5)))))))) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 2) (pow u 7)))) (* 1/120 (* n1_i (pow u 5))))))))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (sin (* normAngle u))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(+ normAngle (* -1 (* normAngle u))) |
(+ normAngle (* -1 (* normAngle u))) |
(* -1 (* normAngle u)) |
(* u (- (/ normAngle u) normAngle)) |
(* u (- (/ normAngle u) normAngle)) |
(* u (- (/ normAngle u) normAngle)) |
(* -1 (* normAngle u)) |
(* -1 (* u (- (* -1 (/ normAngle u)) (* -1 normAngle)))) |
(* -1 (* u (- (* -1 (/ normAngle u)) (* -1 normAngle)))) |
(* -1 (* u (- (* -1 (/ normAngle u)) (* -1 normAngle)))) |
(* 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 (* -1 u))) |
(* normAngle (+ 1 (* -1 u))) |
(* normAngle (+ 1 (* -1 u))) |
(* normAngle (+ 1 (* -1 u))) |
| Outputs |
|---|
n0_i |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))))))) |
(+.f32 n0_i (*.f32 u (+.f32 n1_i (+.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))))))) |
(+.f32 n0_i (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/2 binary32)))))))) |
(* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u))) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2))))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) u)) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (/.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u u)))) (/.f32 n1_i (*.f32 u u)))) (/.f32 n0_i (*.f32 u u)))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (+ (/ n0_i (pow u 3)) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2)))))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) u)) (+.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (/.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u u)))) (/.f32 n1_i (*.f32 u u))) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (/.f32 n0_i (*.f32 u u)))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))) |
(* -1 (* (pow u 3) (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (/.f32 (+.f32 (-.f32 n0_i n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i)))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (/.f32 (+.f32 (-.f32 n0_i n1_i) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (/.f32 n0_i u))) u)) u)))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(+.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (+.f32 u (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(+.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (+.f32 u (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(+.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (+.f32 u (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(*.f32 n1_i (+.f32 u (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))))) |
(*.f32 n1_i (+.f32 (+.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)))) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)) n1_i)))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))))) |
(*.f32 n1_i (+.f32 (+.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)))) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)) n1_i)))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))))) |
(*.f32 n1_i (+.f32 (+.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)))) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)) n1_i)))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) u)) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) (/.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) n1_i)) u)) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) (/.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) n1_i)) u)) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) (/.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) n1_i)) u)) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+.f32 (*.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 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (+.f32 (*.f32 n0_i (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))) (*.f32 n1_i (/.f32 u (*.f32 normAngle normAngle))))) (*.f32 n0_i (+.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -1/6 binary32)))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (+.f32 (*.f32 n0_i (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))) (*.f32 n1_i (/.f32 u (*.f32 normAngle normAngle))))) (*.f32 n0_i (+.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -1/6 binary32)))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (+.f32 (*.f32 n0_i (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))) (*.f32 n1_i (/.f32 u (*.f32 normAngle normAngle))))) (*.f32 n0_i (+.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -1/6 binary32)))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (+.f32 (*.f32 n0_i (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))) (*.f32 n1_i (/.f32 u (*.f32 normAngle normAngle))))) (*.f32 n0_i (+.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -1/6 binary32)))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (+.f32 (*.f32 n0_i (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))) (*.f32 n1_i (/.f32 u (*.f32 normAngle normAngle))))) (*.f32 n0_i (+.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -1/6 binary32)))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (+.f32 (*.f32 n0_i (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))) (*.f32 n1_i (/.f32 u (*.f32 normAngle normAngle))))) (*.f32 n0_i (+.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -1/6 binary32)))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) |
(+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)) (* n1_i u))) |
(+.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) u)))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)) (* n1_i u))) |
(+.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) u)))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)) (* n1_i u))) |
(+.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) u)))) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) u))) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (+ (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))) (/ (* n1_i u) n0_i)))) u)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) (/.f32 (*.f32 u n1_i) n0_i))) u))) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (+ (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))) (/ (* n1_i u) n0_i)))) u)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) (/.f32 (*.f32 u n1_i) n0_i))) u))) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (+ (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))) (/ (* n1_i u) n0_i)))) u)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) (/.f32 (*.f32 u n1_i) n0_i))) u))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))) |
(neg.f32 (*.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u)))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) (-.f32 #s(literal 1 binary32) u))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) (-.f32 #s(literal 1 binary32) u))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) (-.f32 #s(literal 1 binary32) u))) |
(* n0_i (- 1 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (+.f32 (*.f32 n0_i (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))) (*.f32 n0_i (+.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -1/6 binary32))))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (+.f32 (*.f32 n0_i (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))) (*.f32 n0_i (+.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -1/6 binary32))))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (+.f32 (*.f32 n0_i (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))) (*.f32 n0_i (+.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -1/6 binary32))))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (+.f32 (*.f32 n0_i (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))) (*.f32 n0_i (+.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -1/6 binary32))))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (+.f32 (*.f32 n0_i (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))) (*.f32 n0_i (+.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -1/6 binary32))))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (+.f32 (*.f32 n0_i (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle)))) (*.f32 n0_i (+.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -1/6 binary32))))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) u)))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) u)))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) u)))) |
(* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) u))) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) u)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i)) u))) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) u)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i)) u))) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) u)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i)) u))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))) |
(neg.f32 (*.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u)))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i)) (-.f32 #s(literal 1 binary32) u))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i)) (-.f32 #s(literal 1 binary32) u))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i)) (-.f32 #s(literal 1 binary32) u))) |
n0_i |
(+ n0_i (* u (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))))) |
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i))) |
(+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle))))))) |
(+ n0_i (* u (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i) (*.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/2 binary32)))))))) |
(* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u))) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2)))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (/.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.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)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (+ (/ n0_i (pow u 3)) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2))))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) u)) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (/.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u u)))) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (/.f32 n0_i (*.f32 u u)))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))) |
(* -1 (* (pow u 3) (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (/.f32 (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))) |
(+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) |
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))) |
(*.f32 n1_i (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)) n1_i)))) |
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))) |
(*.f32 n1_i (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)) n1_i)))) |
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))) |
(*.f32 n1_i (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i))) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)) n1_i)))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) (/.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) (/.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) (/.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) n1_i))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32)))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32)))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32)))))) |
(* n0_i (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) |
(*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) |
(* n0_i (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) |
(*.f32 n0_i (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i))) |
(* n0_i (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) |
(*.f32 n0_i (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i))) |
(* n0_i (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) |
(*.f32 n0_i (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i))) |
(* -1 (* n0_i (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))) |
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(* -1 (* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))) |
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(* -1 (* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))) |
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(* -1 (* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))) |
(*.f32 (neg.f32 n0_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i))) |
(* (pow normAngle 2) (* u (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))) |
(*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) |
(* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))) |
(*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) |
(* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))) |
(*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/2 binary32))))))) |
(* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))) |
(*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/2 binary32))))))) |
(* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
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(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (/.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u u)))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (/.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u u)))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))) |
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(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) u)) u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
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(* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) |
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(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
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(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))) |
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(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))) |
(*.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)) n1_i)))) |
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))) |
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(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
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(* -1 (* n1_i (+ (* -1 (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
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(* -1 (* n1_i (+ (* -1 (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
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(* -1 (* n1_i (+ (* -1 (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
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(* -1/6 (* n1_i (- (pow u 3) u))) |
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(* n0_i (- (+ 1/6 (+ (* -1/6 (/ (* n1_i (- (pow u 3) u)) n0_i)) (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* 1/6 u))) |
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(* n0_i (- (+ 1/6 (+ (* -1/6 (/ (* n1_i (- (pow u 3) u)) n0_i)) (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* 1/6 u))) |
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(* n0_i (- (+ 1/6 (+ (* -1/6 (/ (* n1_i (- (pow u 3) u)) n0_i)) (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* 1/6 u))) |
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(* -1 (* n0_i (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))) |
(*.f32 (neg.f32 n0_i) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) |
(* -1 (* n0_i (- (+ (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 (/ (* n1_i (- (pow u 3) u)) n0_i))) (* -1 (- (* 1/6 u) 1/6))))) |
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(* -1 (* n0_i (- (+ (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 (/ (* n1_i (- (pow u 3) u)) n0_i))) (* -1 (- (* 1/6 u) 1/6))))) |
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(* -1 (* n0_i (- (+ (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 (/ (* n1_i (- (pow u 3) u)) n0_i))) (* -1 (- (* 1/6 u) 1/6))))) |
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(* u (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) |
(*.f32 u (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) |
(* u (- (+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* 1/2 n0_i))) (* 1/6 n0_i))) |
(*.f32 u (+.f32 (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) |
(* u (- (+ (* 1/6 n1_i) (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i))))))) (* 1/6 n0_i))) |
(*.f32 u (+.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 u (+.f32 (*.f32 u (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/2 binary32))))) (*.f32 n0_i #s(literal -1/6 binary32)))) |
(* u (- (+ (* 1/6 n1_i) (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i))))))) (* 1/6 n0_i))) |
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(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u (*.f32 u u))) |
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(* (pow u 3) (- (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* 1/6 n0_i) (+ (* 1/6 (/ n1_i (pow u 2))) (* 1/2 (/ n0_i (pow u 2))))))) (* 1/6 (/ n0_i (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 n1_i (*.f32 u u))) (/.f32 (*.f32 n0_i #s(literal 1/2 binary32)) (*.f32 u u)))) (/.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (*.f32 u u))))) |
(* (pow u 3) (- (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* 1/6 n0_i) (+ (* 1/6 (/ n1_i (pow u 2))) (* 1/2 (/ n0_i (pow u 2))))))) (* 1/6 (/ n0_i (pow u 2))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 n1_i (*.f32 u u))) (/.f32 (*.f32 n0_i #s(literal 1/2 binary32)) (*.f32 u u)))) (/.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (*.f32 u u))))) |
(* -1 (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) |
(*.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 (/ n0_i u)))))) |
(neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (*.f32 n0_i #s(literal 1/2 binary32)) u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i)) u)) (* -1/2 n0_i)) u)) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
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(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i)) u)) (* -1/2 n0_i)) u)) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
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(- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))) |
(*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)) |
(- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) |
(- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) |
(- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) |
(* n1_i (- (+ (* -1/6 (- (pow u 3) u)) (/ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) n1_i)) (/ (* n0_i (- (* 1/6 u) 1/6)) n1_i))) |
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(* n1_i (- (+ (* -1/6 (- (pow u 3) u)) (/ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) n1_i)) (/ (* n0_i (- (* 1/6 u) 1/6)) n1_i))) |
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(* n1_i (- (+ (* -1/6 (- (pow u 3) u)) (/ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) n1_i)) (/ (* n0_i (- (* 1/6 u) 1/6)) n1_i))) |
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(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) |
(* -1 (* n1_i (+ (* -1 (/ (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))) n1_i)) (* 1/6 (- (pow u 3) u))))) |
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(* -1 (* n1_i (+ (* -1 (/ (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))) n1_i)) (* 1/6 (- (pow u 3) u))))) |
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(* -1 (* n1_i (+ (* -1 (/ (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))) n1_i)) (* 1/6 (- (pow u 3) u))))) |
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(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 u (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 u (+.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (*.f32 (*.f32 u u) (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 normAngle (*.f32 normAngle normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (*.f32 (*.f32 u u) (pow.f32 normAngle #s(literal 5 binary32)))) (sin.f32 normAngle)))))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
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(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
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(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(* n1_i u) |
(*.f32 u n1_i) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
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(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (*.f32 u u)))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))))) (*.f32 #s(literal -1/120 binary32) (*.f32 u n1_i)))) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i)))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (*.f32 u u)))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))))) (*.f32 #s(literal -1/120 binary32) (*.f32 u n1_i)))) (+.f32 (*.f32 (*.f32 u n1_i) #s(literal -1/5040 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) #s(literal 1/120 binary32))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) (*.f32 (*.f32 u n1_i) #s(literal 1/120 binary32))))) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i)))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(* normAngle u) |
(*.f32 u normAngle) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(*.f32 u (+.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u)))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(*.f32 u (+.f32 normAngle (*.f32 (*.f32 u u) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (*.f32 u u)))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(*.f32 u (+.f32 normAngle (*.f32 (*.f32 u u) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 u u) (+.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u u)) (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))))))))) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(*.f32 normAngle (+.f32 u (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u (*.f32 u u))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(*.f32 normAngle (+.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(*.f32 normAngle (+.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) (pow.f32 u #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))))))))) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i normAngle) |
(/.f32 n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/.f32 (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/840 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i #s(literal -7/360 binary32))))) (*.f32 n1_i #s(literal -7/360 binary32))))) (*.f32 n1_i #s(literal 1/6 binary32))))) normAngle) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
n0_i |
(+ n0_i (* u (+ n1_i (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))) |
(+.f32 n0_i (*.f32 u (-.f32 n1_i (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))) |
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (/.f32 (*.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (*.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) u) (cos.f32 normAngle))) (sin.f32 normAngle))))))) |
(* n1_i u) |
(*.f32 u n1_i) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))))) |
(*.f32 u (+.f32 n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle)))))) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))))) |
(*.f32 u (+.f32 n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle)))))) |
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))))) |
(*.f32 u (+.f32 n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle)))))) |
(* n1_i u) |
(*.f32 u n1_i) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle))))))) |
(*.f32 (-.f32 (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle)))) n1_i) (neg.f32 u)) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle))))))) |
(*.f32 (-.f32 (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle)))) n1_i) (neg.f32 u)) |
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle))))))) |
(*.f32 (-.f32 (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 u (sin.f32 normAngle)))) n1_i) (neg.f32 u)) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+.f32 (*.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 (* n0_i (- 1 u))))))) |
(+.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))) |
(+.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i #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)))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.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 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (-.f32 #s(literal 1 binary32) u)))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i #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)))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (-.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (+.f32 (*.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 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (+.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u))))) (*.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (-.f32 #s(literal 1 binary32) u))))))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+.f32 (*.f32 u n1_i) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+.f32 (*.f32 u n1_i) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+.f32 (*.f32 u n1_i) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+.f32 (*.f32 u n1_i) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+.f32 (*.f32 u n1_i) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+.f32 (*.f32 u n1_i) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+.f32 (*.f32 u n1_i) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+.f32 (*.f32 u n1_i) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(* n1_i u) |
(*.f32 u n1_i) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+.f32 (*.f32 u n1_i) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+.f32 (*.f32 u n1_i) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+.f32 (*.f32 u n1_i) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i))) |
(*.f32 n0_i (+.f32 (/.f32 (*.f32 u n1_i) n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i))) |
(*.f32 n0_i (+.f32 (/.f32 (*.f32 u n1_i) n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i))) |
(*.f32 n0_i (+.f32 (/.f32 (*.f32 u n1_i) n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (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 u) n0_i))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 u n1_i) n0_i)) (/.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 u) n0_i))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 u n1_i) n0_i)) (/.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 u) n0_i))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 u n1_i) n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+.f32 (*.f32 u n1_i) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+.f32 (*.f32 u n1_i) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))) |
(+.f32 (*.f32 u n1_i) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 n1_i (+.f32 u (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle)))))) |
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 n1_i (+.f32 u (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle)))))) |
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 n1_i (+.f32 u (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle)))))) |
(* n1_i u) |
(*.f32 u n1_i) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle)))) u)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle)))) u)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle)))) u)) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(-.f32 n0_i (/.f32 (*.f32 (*.f32 n0_i normAngle) (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 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)))))))) |
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (/.f32 (*.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (*.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) u) (cos.f32 normAngle))) (sin.f32 normAngle)))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (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)))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))))) |
(+ (* 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)))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i #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)))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.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 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 (*.f32 n0_i #s(literal 1/6 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))) (* (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)))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i #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)))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (-.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (+.f32 (*.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 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (+.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u))))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u))))) (*.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (-.f32 #s(literal 1 binary32) u)))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 u normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (*.f32 u (+.f32 (*.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)))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (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 (* -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) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))) 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 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #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)))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/120 binary32))))) (+.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -1/6 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) |
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(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
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(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
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(sin normAngle) |
(sin.f32 normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(-.f32 (sin.f32 normAngle) (*.f32 (*.f32 u normAngle) (cos.f32 normAngle))) |
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(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle))))))))) |
(+.f32 (sin.f32 normAngle) (*.f32 u (-.f32 (*.f32 u (+.f32 (*.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))))) (*.f32 normAngle (cos.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 #s(literal 1 binary32) (-.f32 (*.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)))) 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 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #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)))) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 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 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #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)))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 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 (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 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)))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 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)))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (*.f32 u (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 normAngle (*.f32 normAngle normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (cos.f32 normAngle))) (sin.f32 normAngle))))))))) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+.f32 (*.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)) (* n1_i u))))))) |
(+.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (+.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (*.f32 u (*.f32 u u)))) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(+.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (*.f32 u (*.f32 u u))))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (+.f32 (*.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))))) (*.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (+.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (*.f32 u (*.f32 u u)))) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)))))) (*.f32 #s(literal -1/120 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)))))) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))) (+ (* -1/5040 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/120 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))))))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
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(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(* n0_i (+ (/ (sin (- normAngle (* normAngle u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))))) |
(* n0_i (+ (/ (sin (- normAngle (* normAngle u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))))) |
(* n0_i (+ (/ (sin (- normAngle (* normAngle u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))))) |
(/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (- normAngle (* normAngle u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (- normAngle (* normAngle u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (- normAngle (* normAngle u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))))) |
(/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle))))) |
(*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle)))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle))))) |
(*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle)))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle))))) |
(*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle)))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 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 (* normAngle u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) |
(* n0_i (sin normAngle)) |
(*.f32 n0_i (sin.f32 normAngle)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)))) |
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle))))) |
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u (sin.f32 normAngle))))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle)))))))))))) |
(+.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 u (+.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 n0_i normAngle) (cos.f32 normAngle))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (sin.f32 normAngle))) (*.f32 u (+.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (cos.f32 normAngle)))))))))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u))) |
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))) |
(* normAngle (+ (* 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)))))))) |
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (*.f32 u (*.f32 u u))))))))) |
(* normAngle (+ (* 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))))))))))) |
(*.f32 normAngle (+.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (*.f32 u (*.f32 u u))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (+.f32 (*.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)))))))))) |
(* normAngle (+ (* 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)))))))))))))) |
(*.f32 normAngle (+.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (*.f32 u (*.f32 u u))))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal 1/120 binary32) (+.f32 (*.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))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/5040 binary32) (+.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))))))))))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) |
(+.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
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(* n0_i (sin normAngle)) |
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(* n0_i (* normAngle (- 1 u))) |
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(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u)))) |
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5)))))))) |
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(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5))))))))) |
(*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i #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)))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))))))))) |
(* n0_i (sin (- normAngle (* normAngle u)))) |
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(* n0_i (sin (- normAngle (* normAngle u)))) |
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(sin normAngle) |
(sin.f32 normAngle) |
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(-.f32 (sin.f32 normAngle) (*.f32 (*.f32 u normAngle) (cos.f32 normAngle))) |
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(sin (- normAngle (* normAngle u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (- normAngle (* normAngle u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (- normAngle (* normAngle u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (- normAngle (* normAngle u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (- normAngle (* normAngle u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (- normAngle (* normAngle u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (- normAngle (* normAngle u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (- normAngle (* normAngle u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(* normAngle (- 1 u)) |
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(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u)) |
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (-.f32 (*.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)))) 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 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #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)))) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 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)) |
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(sin (- normAngle (* normAngle u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (- normAngle (* normAngle u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (- normAngle (* normAngle u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (- normAngle (* normAngle u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (neg (+ (* -1 normAngle) (* normAngle u)))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (neg (+ (* -1 normAngle) (* normAngle u)))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (neg (+ (* -1 normAngle) (* normAngle u)))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin (neg (+ (* -1 normAngle) (* normAngle u)))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
-1/6 |
#s(literal -1/6 binary32) |
(- (* 1/6 u) 1/6) |
(+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) |
(- (* 1/6 u) 1/6) |
(+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) |
(- (* 1/6 u) 1/6) |
(+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) |
(* 1/6 u) |
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(* u (- 1/6 (* 1/6 (/ 1 u)))) |
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(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6))) |
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(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) u) #s(literal -1/6 binary32)) (neg.f32 u)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 u)) |
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(+ 1 (* u (- u 2))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 u #s(literal -2 binary32)))) |
(+ 1 (* u (- u 2))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 u #s(literal -2 binary32)))) |
(pow u 2) |
(*.f32 u u) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u))) |
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal -2 binary32) u))) |
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal -2 binary32) u))) |
(pow u 2) |
(*.f32 u u) |
(* (pow u 2) (- 1 (* 2 (/ 1 u)))) |
(*.f32 (*.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u))) |
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u)))) |
(*.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) u))) |
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u)))) |
(*.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) u))) |
(* 1/6 u) |
(*.f32 u #s(literal 1/6 binary32)) |
(* 1/6 u) |
(*.f32 u #s(literal 1/6 binary32)) |
(* 1/6 u) |
(*.f32 u #s(literal 1/6 binary32)) |
(* 1/6 u) |
(*.f32 u #s(literal 1/6 binary32)) |
(* 1/6 u) |
(*.f32 u #s(literal 1/6 binary32)) |
(* 1/6 u) |
(*.f32 u #s(literal 1/6 binary32)) |
(* 1/6 u) |
(*.f32 u #s(literal 1/6 binary32)) |
(* 1/6 u) |
(*.f32 u #s(literal 1/6 binary32)) |
(* 1/6 u) |
(*.f32 u #s(literal 1/6 binary32)) |
(* 1/6 u) |
(*.f32 u #s(literal 1/6 binary32)) |
(* 1/6 u) |
(*.f32 u #s(literal 1/6 binary32)) |
(* 1/6 u) |
(*.f32 u #s(literal 1/6 binary32)) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32))))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(*.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 (-.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 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)) |
(* n1_i (* normAngle u)) |
(*.f32 n1_i (*.f32 u normAngle)) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 3) (pow u 2)))) (* n1_i normAngle))) |
(*.f32 u (+.f32 (*.f32 n1_i normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u))))) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/120 (* n1_i (* (pow normAngle 5) (pow u 2)))))))) |
(*.f32 u (+.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 u u) (+.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (*.f32 (*.f32 u u) (pow.f32 normAngle #s(literal 5 binary32)))))))) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* (pow u 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 7) (pow u 2)))) (* 1/120 (* n1_i (pow normAngle 5))))))))) |
(*.f32 u (+.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 u u) (+.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 u u) (+.f32 (*.f32 (*.f32 n1_i #s(literal -1/5040 binary32)) (*.f32 (*.f32 u u) (pow.f32 normAngle #s(literal 7 binary32)))) (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 normAngle #s(literal 5 binary32))))))))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (* normAngle u)) |
(*.f32 n1_i (*.f32 u normAngle)) |
(* normAngle (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) (* n1_i u))) |
(*.f32 normAngle (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u)))))) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* 1/120 (* n1_i (* (pow normAngle 2) (pow u 5)))))))) |
(*.f32 normAngle (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (*.f32 u u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 5 binary32)))))))) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 2) (pow u 7)))) (* 1/120 (* n1_i (pow u 5))))))))) |
(*.f32 normAngle (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (*.f32 u u)))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 7 binary32)))))))))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 n1_i (sin.f32 (*.f32 u 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 (- (/ normAngle u) normAngle)) |
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle)) |
(* u (- (/ normAngle u) normAngle)) |
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle)) |
(* u (- (/ normAngle u) normAngle)) |
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle)) |
(* -1 (* normAngle u)) |
(-.f32 #s(literal 0 binary32) (*.f32 u normAngle)) |
(* -1 (* u (- (* -1 (/ normAngle u)) (* -1 normAngle)))) |
(*.f32 (-.f32 normAngle (/.f32 normAngle u)) (neg.f32 u)) |
(* -1 (* u (- (* -1 (/ normAngle u)) (* -1 normAngle)))) |
(*.f32 (-.f32 normAngle (/.f32 normAngle u)) (neg.f32 u)) |
(* -1 (* u (- (* -1 (/ normAngle u)) (* -1 normAngle)))) |
(*.f32 (-.f32 normAngle (/.f32 normAngle u)) (neg.f32 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 (* -1 u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* normAngle (+ 1 (* -1 u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* normAngle (+ 1 (* -1 u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* normAngle (+ 1 (* -1 u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
Compiled 70104 to 3400 computations (95.2% saved)
26 alts after pruning (25 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1303 | 23 | 1326 |
| Fresh | 12 | 2 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1319 | 26 | 1345 |
| Status | Accuracy | Program |
|---|---|---|
| 98.6% | (fma.f32 u n1_i (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 75.1% | (/.f32 (+.f32 (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle)) n0_i) (*.f32 (*.f32 u (+.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u)))) n1_i)) (sin.f32 normAngle)) | |
| 74.7% | (/.f32 (+.f32 (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle)) n0_i) (*.f32 (*.f32 u normAngle) n1_i)) (sin.f32 normAngle)) | |
| 74.6% | (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 u (*.f32 normAngle n1_i))) (sin.f32 normAngle)) | |
| 72.8% | (/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))) (sin.f32 normAngle)) | |
| 97.2% | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i)) | |
| 96.6% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32))))))) n0_i) (*.f32 u n1_i)) | |
| 98.4% | (+.f32 (*.f32 u n1_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| ▶ | 98.3% | (+.f32 (*.f32 u n1_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
| 98.6% | (+.f32 (*.f32 u n1_i) (+.f32 n0_i (*.f32 u (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)))) | |
| ▶ | 97.9% | (+.f32 (*.f32 u n1_i) (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))) |
| 80.2% | (+.f32 (*.f32 u n1_i) n0_i) | |
| 98.6% | (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))))) | |
| 62.4% | (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) | |
| 98.7% | (+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))))) | |
| ▶ | 98.9% | (+.f32 n0_i (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/2 binary32)))))))) |
| 36.4% | (*.f32 (*.f32 u (+.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u)))) (/.f32 n1_i (sin.f32 normAngle))) | |
| 36.0% | (*.f32 (*.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) | |
| ▶ | 36.4% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))) |
| 36.2% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32))))))) | |
| 35.8% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))))) | |
| 98.4% | (*.f32 (neg.f32 n0_i) (-.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) (-.f32 #s(literal 1 binary32) u))) | |
| ▶ | 35.9% | (*.f32 u n1_i) |
| 36.8% | (*.f32 n1_i (+.f32 u (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))))) | |
| 97.4% | (neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (/.f32 (+.f32 (-.f32 n0_i n1_i) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (/.f32 n0_i u))) u)) u)))) | |
| ✓ | 48.6% | n0_i |
Compiled 1521 to 914 computations (39.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32)))))) |
| ✓ | cost-diff | 0 | (*.f32 u normAngle) |
| ✓ | cost-diff | 0 | (sin.f32 (*.f32 u normAngle)) |
| ✓ | cost-diff | 0 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))) |
| ✓ | cost-diff | 64 | (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u) |
| ✓ | cost-diff | 128 | (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u)) |
| ✓ | cost-diff | 160 | (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
| ✓ | cost-diff | 256 | (+.f32 (*.f32 u n1_i) (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) |
| ✓ | cost-diff | 0 | (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
| ✓ | cost-diff | 0 | (*.f32 u n1_i) |
| ✓ | cost-diff | 64 | (+.f32 (*.f32 u n1_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
| ✓ | cost-diff | 0 | (*.f32 u n1_i) |
| ✓ | cost-diff | 0 | (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) |
| ✓ | cost-diff | 128 | (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/2 binary32)))))) |
| ✓ | cost-diff | 128 | (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/2 binary32))))))) |
| ✓ | cost-diff | 128 | (+.f32 n0_i (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/2 binary32)))))))) |
| 4332× | *-lowering-*.f32 |
| 4332× | *-lowering-*.f64 |
| 3452× | +-lowering-+.f64 |
| 3452× | +-lowering-+.f32 |
| 1872× | sum5-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 730 |
| 1 | 243 | 706 |
| 2 | 948 | 692 |
| 3 | 4563 | 672 |
| 0 | 8756 | 672 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ n0_i (* u (+ (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (* u (* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2))))))) |
n0_i |
(* u (+ (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (* u (* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2)))))) |
u |
(+ (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (* u (* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2))))) |
(+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) |
(- n1_i n0_i) |
n1_i |
(* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3))) |
(* normAngle normAngle) |
normAngle |
(+ (* n1_i 1/6) (* n0_i 1/3)) |
(* n1_i 1/6) |
1/6 |
(* n0_i 1/3) |
1/3 |
(* u (* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2)))) |
(* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2))) |
(+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2)) |
(* u (* -1/6 (- n1_i n0_i))) |
(* -1/6 (- n1_i n0_i)) |
-1/6 |
(* n0_i -1/2) |
-1/2 |
(* u n1_i) |
u |
n1_i |
(+ (* u n1_i) (+ (* (* normAngle normAngle) (* -1/6 (* n1_i (* u (+ (* u u) -1))))) (* n0_i (- 1 u)))) |
(* u n1_i) |
u |
n1_i |
(+ (* (* normAngle normAngle) (* -1/6 (* n1_i (* u (+ (* u u) -1))))) (* n0_i (- 1 u))) |
(* (* normAngle normAngle) (* -1/6 (* n1_i (* u (+ (* u u) -1))))) |
(* normAngle normAngle) |
normAngle |
(* -1/6 (* n1_i (* u (+ (* u u) -1)))) |
-1/6 |
(* n1_i (* u (+ (* u u) -1))) |
(* u (+ (* u u) -1)) |
(+ (* u u) -1) |
(* u u) |
-1 |
(* n0_i (- 1 u)) |
n0_i |
(- 1 u) |
1 |
(+ (* u n1_i) (* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u)) (* -1 (* u (* u u))))) |
(* u n1_i) |
u |
n1_i |
(* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u)) (* -1 (* u (* u u)))) |
(- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u)) |
(* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) |
(* normAngle normAngle) |
normAngle |
(+ (* n1_i 1/6) (* n0_i -1/6)) |
(* n1_i 1/6) |
1/6 |
(* n0_i -1/6) |
n0_i |
-1/6 |
(/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u) |
(- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) |
(* -1/2 (* n0_i (* normAngle normAngle))) |
-1/2 |
(* n0_i (* normAngle normAngle)) |
(/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u) |
(+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) |
(- n0_i (/ n0_i u)) |
(/ n0_i u) |
(* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i)))) |
(+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))) |
(* n0_i -1/2) |
(* -1/6 (- n1_i n0_i)) |
(- n1_i n0_i) |
(* -1 (* u (* u u))) |
-1 |
(* u (* u u)) |
(* u u) |
(* (sin (* u normAngle)) (/ n1_i (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6)))))) |
(sin (* u normAngle)) |
(* u normAngle) |
u |
normAngle |
(/ n1_i (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))))) |
n1_i |
(* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6)))) |
(+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))) |
1 |
(* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6)) |
(* normAngle normAngle) |
(+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6) |
(* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) |
(+ 1/120 (* (* normAngle normAngle) -1/5040)) |
1/120 |
(* (* normAngle normAngle) -1/5040) |
-1/5040 |
-1/6 |
| Outputs |
|---|
(+ n0_i (* u (+ (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (* u (* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2))))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32)))))))))) |
n0_i |
(* u (+ (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (* u (* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2)))))) |
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))))))))) |
u |
(+ (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (* u (* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2))))) |
(+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32)))))))) |
(+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) |
(+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
n1_i |
(* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(+ (* n1_i 1/6) (* n0_i 1/3)) |
(+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) |
(* n1_i 1/6) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
1/6 |
#s(literal 1/6 binary32) |
(* n0_i 1/3) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
1/3 |
#s(literal 1/3 binary32) |
(* u (* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2)))) |
(*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle))) |
(* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2))) |
(*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))))) |
(+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2)) |
(+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) |
(* u (* -1/6 (- n1_i n0_i))) |
(*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) |
(* -1/6 (- n1_i n0_i)) |
(*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) |
-1/6 |
#s(literal -1/6 binary32) |
(* n0_i -1/2) |
(*.f32 n0_i #s(literal -1/2 binary32)) |
-1/2 |
#s(literal -1/2 binary32) |
(* u n1_i) |
(*.f32 u n1_i) |
u |
n1_i |
(+ (* u n1_i) (+ (* (* normAngle normAngle) (* -1/6 (* n1_i (* u (+ (* u u) -1))))) (* n0_i (- 1 u)))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (+.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))) (+.f32 (*.f32 u u) #s(literal -1 binary32))) #s(literal 1 binary32)) (*.f32 u n1_i))) |
(* u n1_i) |
(*.f32 u n1_i) |
u |
n1_i |
(+ (* (* normAngle normAngle) (* -1/6 (* n1_i (* u (+ (* u u) -1))))) (* n0_i (- 1 u))) |
(+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 (*.f32 n1_i (+.f32 (*.f32 u u) #s(literal -1 binary32))) #s(literal -1/6 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(* (* normAngle normAngle) (* -1/6 (* n1_i (* u (+ (* u u) -1))))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 (*.f32 n1_i (+.f32 (*.f32 u u) #s(literal -1 binary32))) #s(literal -1/6 binary32)))) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(* -1/6 (* n1_i (* u (+ (* u u) -1)))) |
(*.f32 u (*.f32 (*.f32 n1_i (+.f32 (*.f32 u u) #s(literal -1 binary32))) #s(literal -1/6 binary32))) |
-1/6 |
#s(literal -1/6 binary32) |
(* n1_i (* u (+ (* u u) -1))) |
(*.f32 u (*.f32 n1_i (+.f32 (*.f32 u u) #s(literal -1 binary32)))) |
(* u (+ (* u u) -1)) |
(*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))) |
(+ (* u u) -1) |
(+.f32 (*.f32 u u) #s(literal -1 binary32)) |
(* u u) |
(*.f32 u u) |
-1 |
#s(literal -1 binary32) |
(* 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 n1_i) (* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u)) (* -1 (* u (* u u))))) |
(*.f32 u (-.f32 n1_i (*.f32 (*.f32 u u) (+.f32 (/.f32 (-.f32 n0_i (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (/.f32 n0_i u))) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (*.f32 n0_i (/.f32 #s(literal -1/2 binary32) u)))))))) |
(* u n1_i) |
(*.f32 u n1_i) |
u |
n1_i |
(* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u)) (* -1 (* u (* u u)))) |
(*.f32 (+.f32 (/.f32 (-.f32 n0_i (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (/.f32 n0_i u))) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (*.f32 n0_i (/.f32 #s(literal -1/2 binary32) u))))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u)) |
(+.f32 (/.f32 (-.f32 n0_i (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (/.f32 n0_i u))) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (*.f32 n0_i (/.f32 #s(literal -1/2 binary32) u))))) |
(* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) |
(*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))))) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(+ (* n1_i 1/6) (* n0_i -1/6)) |
(+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) |
(* n1_i 1/6) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
1/6 |
#s(literal 1/6 binary32) |
(* n0_i -1/6) |
(*.f32 n0_i #s(literal -1/6 binary32)) |
n0_i |
-1/6 |
#s(literal -1/6 binary32) |
(/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u) |
(/.f32 (+.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 (/.f32 n0_i u) n0_i)) u)) u) |
(- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) |
(+.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) (/.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 (/.f32 n0_i u) n0_i)) u)) |
(* -1/2 (* n0_i (* normAngle normAngle))) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) |
-1/2 |
#s(literal -1/2 binary32) |
(* n0_i (* normAngle normAngle)) |
(*.f32 n0_i (*.f32 normAngle normAngle)) |
(/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u) |
(/.f32 (-.f32 n0_i (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (/.f32 n0_i u))) u) |
(+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) |
(-.f32 n0_i (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (/.f32 n0_i u))) |
(- n0_i (/ n0_i u)) |
(-.f32 n0_i (/.f32 n0_i u)) |
(/ n0_i u) |
(/.f32 n0_i u) |
(* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/3 binary32)))) |
(+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))) |
(+.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/3 binary32))) |
(* n0_i -1/2) |
(*.f32 n0_i #s(literal -1/2 binary32)) |
(* -1/6 (- n1_i n0_i)) |
(*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(* -1 (* u (* u u))) |
(neg.f32 (*.f32 u (*.f32 u u))) |
-1 |
#s(literal -1 binary32) |
(* u (* u u)) |
(*.f32 u (*.f32 u u)) |
(* u u) |
(*.f32 u u) |
(* (sin (* u normAngle)) (/ n1_i (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6)))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i normAngle)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))))) |
(sin (* u normAngle)) |
(sin.f32 (*.f32 u normAngle)) |
(* u normAngle) |
(*.f32 u normAngle) |
u |
normAngle |
(/ n1_i (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))))) |
(/.f32 (/.f32 n1_i normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))))) |
n1_i |
(* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6)))) |
(*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))))) |
(+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32))))))) |
1 |
#s(literal 1 binary32) |
(* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6)) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
(+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6) |
(+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) |
(* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) |
(+ 1/120 (* (* normAngle normAngle) -1/5040)) |
(+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32))) |
1/120 |
#s(literal 1/120 binary32) |
(* (* normAngle normAngle) -1/5040) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) |
-1/5040 |
#s(literal -1/5040 binary32) |
-1/6 |
#s(literal -1/6 binary32) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) |
| ✓ | accuracy | 99.3% | (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))) |
| ✓ | accuracy | 99.0% | (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) |
| ✓ | accuracy | 96.0% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))) |
| ✓ | accuracy | 99.0% | (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
| ✓ | accuracy | 99.0% | (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) |
| ✓ | accuracy | 98.9% | (*.f32 n0_i #s(literal -1/6 binary32)) |
| ✓ | accuracy | 98.9% | (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) |
| ✓ | accuracy | 99.7% | (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))) |
| ✓ | accuracy | 99.7% | (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) |
| ✓ | accuracy | 99.6% | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
| ✓ | accuracy | 99.0% | (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) |
| ✓ | accuracy | 100.0% | (*.f32 u n1_i) |
| ✓ | accuracy | 99.4% | (*.f32 u (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) |
| ✓ | accuracy | 99.1% | (*.f32 n1_i #s(literal 1/6 binary32)) |
| ✓ | accuracy | 98.9% | (*.f32 n0_i #s(literal 1/3 binary32)) |
| ✓ | accuracy | 98.9% | (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) |
| 190.0ms | 254× | 0 | valid |
| 6.0ms | 2× | 5 | exit |
Compiled 859 to 69 computations (92% saved)
ival-mult: 62.0ms (53% of total)ival-add: 18.0ms (15.4% of total)...c/correct-round.rkt:119:19: 17.0ms (14.5% of total)ival-div: 8.0ms (6.8% of total)ival-sub: 7.0ms (6% of total)ival-sin: 3.0ms (2.6% of total)backward-pass: 1.0ms (0.9% of total)const: 1.0ms (0.9% of total)| Inputs |
|---|
#<alt (+ n0_i (* u (+ (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (* u (* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2)))))))> |
#<alt (* u (+ (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (* u (* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2))))))> |
#<alt (+ (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (* u (* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2)))))> |
#<alt (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3))))> |
#<alt (* u n1_i)> |
#<alt (+ (* u n1_i) (+ (* (* normAngle normAngle) (* -1/6 (* n1_i (* u (+ (* u u) -1))))) (* n0_i (- 1 u))))> |
#<alt (+ (* (* normAngle normAngle) (* -1/6 (* n1_i (* u (+ (* u u) -1))))) (* n0_i (- 1 u)))> |
#<alt (* (* normAngle normAngle) (* -1/6 (* n1_i (* u (+ (* u u) -1)))))> |
#<alt (+ (* u n1_i) (* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u)) (* -1 (* u (* u u)))))> |
#<alt (* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u)) (* -1 (* u (* u u))))> |
#<alt (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u))> |
#<alt (/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u)> |
#<alt (* (sin (* u normAngle)) (/ n1_i (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))))))> |
#<alt (sin (* u normAngle))> |
#<alt (* u normAngle)> |
#<alt (/ n1_i (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6)))))> |
#<alt (* -1/6 (- n1_i n0_i))> |
#<alt (* n0_i 1/3)> |
#<alt (* n1_i 1/6)> |
#<alt (* u (* -1/6 (- n1_i n0_i)))> |
#<alt (* -1/6 (* n1_i (* u (+ (* u u) -1))))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n1_i (* u (+ (* u u) -1)))> |
#<alt (* u (+ (* u u) -1))> |
#<alt (* n0_i -1/6)> |
#<alt (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i)))> |
#<alt (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040)))> |
#<alt (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))> |
#<alt (* (* normAngle normAngle) -1/5040)> |
| Outputs |
|---|
#<alt (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))> |
#<alt (+ (* n0_i (+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))))> |
#<alt (+ (* n0_i (+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))))> |
#<alt (+ (* n0_i (+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))))> |
#<alt (* n0_i (+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i))))> |
#<alt (* -1 (* n0_i (- (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u))))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))) 1)))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))> |
#<alt (+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)))> |
#<alt (+ n0_i (* u (- (+ n1_i (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)))> |
#<alt (* -1/6 (* (pow normAngle 2) (* (pow u 3) (- n1_i n0_i))))> |
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i)))))> |
#<alt (* (pow u 3) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2))))) (/ n0_i (pow u 2))))> |
#<alt (* (pow u 3) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n0_i (pow u 3)) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2)))))) (/ n0_i (pow u 2))))> |
#<alt (* -1/6 (* (pow normAngle 2) (* (pow u 3) (- n1_i n0_i))))> |
#<alt (* -1 (* (pow u 3) (+ (* 1/6 (* (pow normAngle 2) (- n1_i n0_i))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) u))) (/ n0_i u)) u)) (* 1/6 (* (pow normAngle 2) (- n1_i n0_i))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* 1/6 (* (pow normAngle 2) (- n1_i n0_i))))))> |
#<alt (+ n0_i (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)))> |
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))))> |
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))))> |
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))))> |
#<alt (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
#<alt (* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (/ n0_i n1_i) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i))))> |
#<alt (* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (/ n0_i n1_i) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i))))> |
#<alt (* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (/ n0_i n1_i) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i))))> |
#<alt (* -1 (* n1_i (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))))> |
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#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1)))))> |
#<alt (+ n0_i (* u (- n1_i n0_i)))> |
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))))))> |
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))))))> |
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))))))> |
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
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#<alt (* u (- (+ n1_i (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i))> |
#<alt (* u (- (+ n1_i (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i))> |
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#<alt (* (pow u 3) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2))))) (/ n0_i (pow u 2))))> |
#<alt (* (pow u 3) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2))))) (/ n0_i (pow u 2))))> |
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#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) u))) (/ n0_i u)) u)) (* 1/6 (* (pow normAngle 2) (- n1_i n0_i))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) u))) (/ n0_i u)) u)) (* 1/6 (* (pow normAngle 2) (- n1_i n0_i))))))> |
#<alt (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))> |
#<alt (+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)))> |
#<alt (+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)))> |
#<alt (+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)))> |
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#<alt (* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)))> |
#<alt (* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)))> |
#<alt (* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)))> |
#<alt (* -1 (* n1_i (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1)))))> |
#<alt (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))> |
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#<alt (+ (* n0_i (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))))> |
#<alt (+ (* n0_i (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))))> |
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#<alt (* n0_i (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)))> |
#<alt (* n0_i (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)))> |
#<alt (* -1 (* n0_i (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))))> |
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#<alt (* -1 (* n0_i (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u))))))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u))))))))))> |
#<alt (* u (- n1_i n0_i))> |
#<alt (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))))> |
#<alt (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))))> |
#<alt (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))))> |
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))> |
#<alt (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)> |
#<alt (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))) n0_i)> |
#<alt (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))) n0_i)> |
#<alt (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))) n0_i)> |
#<alt (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))> |
#<alt (* n1_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (/ (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))) n1_i))))) (/ n0_i n1_i)))> |
#<alt (* n1_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (/ (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))) n1_i))))) (/ n0_i n1_i)))> |
#<alt (* n1_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (/ (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))) n1_i))))) (/ n0_i n1_i)))> |
#<alt (* -1 (* n1_i (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1)))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2))))) 1)))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2))))) 1)))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2))))) 1)))> |
#<alt (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))> |
#<alt (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)))))> |
#<alt (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)))))> |
#<alt (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)))))> |
#<alt (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))> |
#<alt (* n0_i (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (+ (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2))) (/ n1_i n0_i))))) 1))> |
#<alt (* n0_i (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (+ (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2))) (/ n1_i n0_i))))) 1))> |
#<alt (* n0_i (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (+ (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2))) (/ n1_i n0_i))))) 1))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u))))))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))))> |
#<alt (- n1_i n0_i)> |
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))) n0_i)> |
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))) n0_i)> |
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))) n0_i)> |
#<alt (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2))))> |
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)> |
#<alt (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)> |
#<alt (- (+ n1_i (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)> |
#<alt (- (+ n1_i (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)> |
#<alt (* -1/6 (* (pow normAngle 2) (* (pow u 2) (- n1_i n0_i))))> |
#<alt (* (pow u 2) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i)))))> |
#<alt (* (pow u 2) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2))))) (/ n0_i (pow u 2))))> |
#<alt (* (pow u 2) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2))))) (/ n0_i (pow u 2))))> |
#<alt (* -1/6 (* (pow normAngle 2) (* (pow u 2) (- n1_i n0_i))))> |
#<alt (* (pow u 2) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i)))))> |
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i)))))> |
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i)))))> |
#<alt (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)> |
#<alt (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i)> |
#<alt (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i)> |
#<alt (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i)> |
#<alt (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))> |
#<alt (* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) (/ n0_i n1_i)))> |
#<alt (* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) (/ n0_i n1_i)))> |
#<alt (* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) (/ n0_i n1_i)))> |
#<alt (* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))> |
#<alt (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))> |
#<alt (+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (* n0_i (- (* 1/3 (pow normAngle 2)) 1))> |
#<alt (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1))> |
#<alt (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1))> |
#<alt (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1))> |
#<alt (* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2))))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2))))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2))))))> |
#<alt (- n1_i n0_i)> |
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)> |
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)> |
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)> |
#<alt (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt (* n1_i u)> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* 1/6 (* n1_i (pow normAngle 2)))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2))))))> |
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))> |
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ n0_i (pow u 2)))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ n0_i (pow u 2))))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ n0_i (pow u 2))))))))> |
#<alt (* n0_i (- 1 u))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))> |
#<alt (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))> |
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))> |
#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (/ (* n0_i (- 1 u)) n1_i))))> |
#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (/ (* n0_i (- 1 u)) n1_i))))> |
#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (/ (* n0_i (- 1 u)) n1_i))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))> |
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#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))> |
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#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u)))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u)))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u)))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))> |
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#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))> |
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#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u)))> |
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#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u)))> |
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#<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)))))> |
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#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n0_i (- 1 u)))> |
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#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))> |
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#<alt n0_i> |
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#<alt (+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))))> |
#<alt (+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))))))> |
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n0_i (pow u 3))))))> |
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n0_i (pow u 3))))))> |
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#<alt (+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) (+ (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3))))) (* n1_i u)))> |
#<alt (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2)))))> |
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#<alt (+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u)))> |
#<alt (+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u)))> |
#<alt (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))))> |
#<alt (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (+ (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (/ (* n1_i u) n0_i))))> |
#<alt (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (+ (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (/ (* n1_i u) n0_i))))> |
#<alt (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (+ (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (/ (* n1_i u) n0_i))))> |
#<alt (* n0_i (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u)) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u)) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u)) n0_i)))))> |
#<alt (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))))> |
#<alt (+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3))))))> |
#<alt (+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3))))))> |
#<alt (+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3))))))> |
#<alt (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2)))))> |
#<alt (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2)))))> |
#<alt (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))))> |
#<alt (+ (* -1 (* n1_i (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))))))> |
#<alt (+ (* -1 (* n1_i (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))))))> |
#<alt (+ (* -1 (* n1_i (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))))))> |
#<alt (* -1 (* n1_i (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
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#<alt (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i))))> |
#<alt (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i))))> |
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#<alt (* -1 (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i))))> |
#<alt (* -1 (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))> |
#<alt (+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))> |
#<alt (+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))> |
#<alt (+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))> |
#<alt (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))))> |
#<alt (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i))))> |
#<alt (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i))))> |
#<alt (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i))))> |
#<alt (* n0_i (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2))))))> |
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#<alt (* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i))))> |
#<alt (* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i))))> |
#<alt n0_i> |
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#<alt (* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))))> |
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#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))> |
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#<alt (- (+ (* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))) (/ n0_i (pow u 2))) (/ n0_i (pow u 3)))> |
#<alt (- (+ (* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))) (/ n0_i (pow u 2))) (/ n0_i (pow u 3)))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3))))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3))))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3))))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3))))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3))))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3))))))> |
#<alt (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))> |
#<alt (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))> |
#<alt (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))> |
#<alt (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))> |
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#<alt (* n1_i (- (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (/ n0_i (* n1_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (* n1_i (pow u 2))))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (/ n0_i (* n1_i (pow u 3))))))> |
#<alt (* n1_i (- (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (/ n0_i (* n1_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (* n1_i (pow u 2))))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (/ n0_i (* n1_i (pow u 3))))))> |
#<alt (* n1_i (- (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (/ n0_i (* n1_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (* n1_i (pow u 2))))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (/ n0_i (* n1_i (pow u 3))))))> |
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#<alt (/ (- (+ (* -5040 (* n1_i (sin (* normAngle u)))) (* -1 (/ (+ (* -177811200 (* n1_i (sin (* normAngle u)))) (+ (* 42 (+ (* -4233600 (* n1_i (sin (* normAngle u)))) (* 8890560 (* n1_i (sin (* normAngle u)))))) (* 25401600 (* n1_i (sin (* normAngle u)))))) (pow normAngle 6)))) (+ (* -4233600 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4))) (+ (* 211680 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 2))) (* 8890560 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4)))))) (pow normAngle 7))> |
#<alt (* -5040 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 7)))> |
#<alt (* -1 (/ (+ (* 5040 (* n1_i (sin (* normAngle u)))) (* 211680 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 2)))) (pow normAngle 7)))> |
#<alt (* -1 (/ (+ (* -4233600 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4))) (+ (* 5040 (* n1_i (sin (* normAngle u)))) (+ (* 211680 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 2))) (* 8890560 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4)))))) (pow normAngle 7)))> |
#<alt (* -1 (/ (+ (* -177811200 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 6))) (+ (* -4233600 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4))) (+ (* 42 (/ (+ (* -4233600 (* n1_i (sin (* normAngle u)))) (* 8890560 (* n1_i (sin (* normAngle u))))) (pow normAngle 6))) (+ (* 5040 (* n1_i (sin (* normAngle u)))) (+ (* 211680 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 2))) (+ (* 8890560 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4))) (* 25401600 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 6))))))))) (pow normAngle 7)))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (* normAngle u)> |
#<alt (* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))> |
#<alt (* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))> |
#<alt (* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (* normAngle u)> |
#<alt (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))> |
#<alt (* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))> |
#<alt (* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (sin (* normAngle u))> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (* normAngle u)> |
#<alt (/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))> |
#<alt (/ n1_i normAngle)> |
#<alt (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)> |
#<alt (/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)> |
#<alt (/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)> |
#<alt (* -5040 (/ n1_i (pow normAngle 7)))> |
#<alt (/ (+ (* -211680 (/ n1_i (pow normAngle 2))) (* -5040 n1_i)) (pow normAngle 7))> |
#<alt (/ (- (+ (* -5040 n1_i) (* -1 (/ (+ (* -4233600 n1_i) (* 8890560 n1_i)) (pow normAngle 4)))) (* 211680 (/ n1_i (pow normAngle 2)))) (pow normAngle 7))> |
#<alt (/ (- (+ (* -5040 n1_i) (* -1 (/ (+ (* -177811200 n1_i) (+ (* 42 (+ (* -4233600 n1_i) (* 8890560 n1_i))) (* 25401600 n1_i))) (pow normAngle 6)))) (+ (* -4233600 (/ n1_i (pow normAngle 4))) (+ (* 211680 (/ n1_i (pow normAngle 2))) (* 8890560 (/ n1_i (pow normAngle 4)))))) (pow normAngle 7))> |
#<alt (* -5040 (/ n1_i (pow normAngle 7)))> |
#<alt (* -1 (/ (+ (* 5040 n1_i) (* 211680 (/ n1_i (pow normAngle 2)))) (pow normAngle 7)))> |
#<alt (* -1 (/ (+ (* -4233600 (/ n1_i (pow normAngle 4))) (+ (* 5040 n1_i) (+ (* 211680 (/ n1_i (pow normAngle 2))) (* 8890560 (/ n1_i (pow normAngle 4)))))) (pow normAngle 7)))> |
#<alt (* -1 (/ (+ (* -177811200 (/ n1_i (pow normAngle 6))) (+ (* -4233600 (/ n1_i (pow normAngle 4))) (+ (* 42 (/ (+ (* -4233600 n1_i) (* 8890560 n1_i)) (pow normAngle 6))) (+ (* 5040 n1_i) (+ (* 211680 (/ n1_i (pow normAngle 2))) (+ (* 8890560 (/ n1_i (pow normAngle 4))) (* 25401600 (/ n1_i (pow normAngle 6))))))))) (pow normAngle 7)))> |
#<alt (* 1/6 n0_i)> |
#<alt (+ (* -1/6 n1_i) (* 1/6 n0_i))> |
#<alt (+ (* -1/6 n1_i) (* 1/6 n0_i))> |
#<alt (+ (* -1/6 n1_i) (* 1/6 n0_i))> |
#<alt (* -1/6 n1_i)> |
#<alt (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6))> |
#<alt (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6))> |
#<alt (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6))> |
#<alt (* -1/6 n1_i)> |
#<alt (* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i)))))> |
#<alt (* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i)))))> |
#<alt (* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i)))))> |
#<alt (* -1/6 n1_i)> |
#<alt (+ (* -1/6 n1_i) (* 1/6 n0_i))> |
#<alt (+ (* -1/6 n1_i) (* 1/6 n0_i))> |
#<alt (+ (* -1/6 n1_i) (* 1/6 n0_i))> |
#<alt (* 1/6 n0_i)> |
#<alt (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i))))> |
#<alt (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i))))> |
#<alt (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i))))> |
#<alt (* 1/6 n0_i)> |
#<alt (* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6)))> |
#<alt (* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6)))> |
#<alt (* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6)))> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/3 n0_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* 1/6 n1_i)> |
#<alt (* -1/6 (* u (- n1_i n0_i)))> |
#<alt (* -1/6 (* u (- n1_i n0_i)))> |
#<alt (* -1/6 (* u (- n1_i n0_i)))> |
#<alt (* -1/6 (* u (- n1_i n0_i)))> |
#<alt (* -1/6 (* u (- n1_i n0_i)))> |
#<alt (* -1/6 (* u (- n1_i n0_i)))> |
#<alt (* -1/6 (* u (- n1_i n0_i)))> |
#<alt (* -1/6 (* u (- n1_i n0_i)))> |
#<alt (* -1/6 (* u (- n1_i n0_i)))> |
#<alt (* -1/6 (* u (- n1_i n0_i)))> |
#<alt (* -1/6 (* u (- n1_i n0_i)))> |
#<alt (* -1/6 (* u (- n1_i n0_i)))> |
#<alt (* 1/6 (* n0_i u))> |
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#<alt (+ (* -1/6 (* n1_i u)) (* 1/6 (* n0_i u)))> |
#<alt (+ (* -1/6 (* n1_i u)) (* 1/6 (* n0_i u)))> |
#<alt (* -1/6 (* n1_i u))> |
#<alt (* n1_i (+ (* -1/6 u) (* 1/6 (/ (* n0_i u) n1_i))))> |
#<alt (* n1_i (+ (* -1/6 u) (* 1/6 (/ (* n0_i u) n1_i))))> |
#<alt (* n1_i (+ (* -1/6 u) (* 1/6 (/ (* n0_i u) n1_i))))> |
#<alt (* -1/6 (* n1_i u))> |
#<alt (* -1 (* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (* 1/6 u))))> |
#<alt (* -1 (* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (* 1/6 u))))> |
#<alt (* -1 (* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (* 1/6 u))))> |
#<alt (* -1/6 (* n1_i u))> |
#<alt (+ (* -1/6 (* n1_i u)) (* 1/6 (* n0_i u)))> |
#<alt (+ (* -1/6 (* n1_i u)) (* 1/6 (* n0_i u)))> |
#<alt (+ (* -1/6 (* n1_i u)) (* 1/6 (* n0_i u)))> |
#<alt (* 1/6 (* n0_i u))> |
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#<alt (* n0_i (+ (* -1/6 (/ (* n1_i u) n0_i)) (* 1/6 u)))> |
#<alt (* n0_i (+ (* -1/6 (/ (* n1_i u) n0_i)) (* 1/6 u)))> |
#<alt (* 1/6 (* n0_i u))> |
#<alt (* -1 (* n0_i (+ (* -1/6 u) (* 1/6 (/ (* n1_i u) n0_i)))))> |
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#<alt (* -1 (* n0_i (+ (* -1/6 u) (* 1/6 (/ (* n1_i u) n0_i)))))> |
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* -1/6 (* n1_i (* u (- (pow u 2) 1))))> |
#<alt (* 1/6 (* n1_i u))> |
#<alt (* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))> |
#<alt (* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))> |
#<alt (* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))> |
#<alt (* -1/6 (* n1_i (pow u 3)))> |
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#<alt (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))> |
#<alt (* -1/6 (* n1_i (pow u 3)))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))> |
#<alt (* n0_i (- 1 u))> |
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#<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> |
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#<alt (+ n0_i (* -1 (* n0_i u)))> |
#<alt (* -1 (* n0_i u))> |
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#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))> |
#<alt (* -1 (* n0_i u))> |
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#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))> |
#<alt (* n1_i (* u (- (pow u 2) 1)))> |
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#<alt (* n1_i (* u (- (pow u 2) 1)))> |
#<alt (* n1_i (* u (- (pow u 2) 1)))> |
#<alt (* n1_i (* u (- (pow u 2) 1)))> |
#<alt (* n1_i (* u (- (pow u 2) 1)))> |
#<alt (* n1_i (* u (- (pow u 2) 1)))> |
#<alt (* n1_i (* u (- (pow u 2) 1)))> |
#<alt (* n1_i (* u (- (pow u 2) 1)))> |
#<alt (* n1_i (* u (- (pow u 2) 1)))> |
#<alt (* n1_i (* u (- (pow u 2) 1)))> |
#<alt (* n1_i (* u (- (pow u 2) 1)))> |
#<alt (* -1 (* n1_i u))> |
#<alt (* u (+ (* -1 n1_i) (* n1_i (pow u 2))))> |
#<alt (* u (+ (* -1 n1_i) (* n1_i (pow u 2))))> |
#<alt (* u (+ (* -1 n1_i) (* n1_i (pow u 2))))> |
#<alt (* n1_i (pow u 3))> |
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#<alt (* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))> |
#<alt (* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2)))))> |
#<alt (* n1_i (pow u 3))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2)))))> |
#<alt (* -1 u)> |
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#<alt (* u (- (pow u 2) 1))> |
#<alt (* u (- (pow u 2) 1))> |
#<alt (pow u 3)> |
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#<alt (* (pow u 3) (- 1 (/ 1 (pow u 2))))> |
#<alt (* (pow u 3) (- 1 (/ 1 (pow u 2))))> |
#<alt (pow u 3)> |
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#<alt (* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1)))> |
#<alt (* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1)))> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n1_i)> |
#<alt (+ (* -1/3 n0_i) (* -1/6 n1_i))> |
#<alt (+ (* -1/3 n0_i) (* -1/6 n1_i))> |
#<alt (+ (* -1/3 n0_i) (* -1/6 n1_i))> |
#<alt (* -1/3 n0_i)> |
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#<alt (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))> |
#<alt (* -1/3 n0_i)> |
#<alt (* -1 (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))))> |
#<alt (* -1 (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))))> |
#<alt (* -1 (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))))> |
#<alt (+ (* -1/2 n0_i) (* 1/6 n0_i))> |
#<alt (+ (* -1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i)))> |
#<alt (+ (* -1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i)))> |
#<alt (+ (* -1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i)))> |
#<alt (* -1/6 n1_i)> |
#<alt (* n1_i (- (+ (* -1/2 (/ n0_i n1_i)) (* 1/6 (/ n0_i n1_i))) 1/6))> |
#<alt (* n1_i (- (+ (* -1/2 (/ n0_i n1_i)) (* 1/6 (/ n0_i n1_i))) 1/6))> |
#<alt (* n1_i (- (+ (* -1/2 (/ n0_i n1_i)) (* 1/6 (/ n0_i n1_i))) 1/6))> |
#<alt (* -1/6 n1_i)> |
#<alt (* -1 (* n1_i (+ 1/6 (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 n0_i)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ 1/6 (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 n0_i)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ 1/6 (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 n0_i)) n1_i)))))> |
#<alt (* 1/120 (pow normAngle 2))> |
#<alt (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2))))> |
#<alt (* -1/5040 (pow normAngle 4))> |
#<alt (* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))> |
#<alt (* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))> |
#<alt (* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))> |
#<alt (* -1/5040 (pow normAngle 4))> |
#<alt (* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))> |
#<alt (* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))> |
#<alt (* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))> |
#<alt (* -1/6 (pow normAngle 2))> |
#<alt (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))> |
#<alt (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))> |
#<alt (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))> |
#<alt (* -1/5040 (pow normAngle 6))> |
#<alt (* (pow normAngle 6) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))> |
#<alt (* (pow normAngle 6) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))> |
#<alt (* (pow normAngle 6) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))> |
#<alt (* -1/5040 (pow normAngle 6))> |
#<alt (* (pow normAngle 6) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))> |
#<alt (* (pow normAngle 6) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))> |
#<alt (* (pow normAngle 6) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))> |
#<alt (* -1/5040 (pow normAngle 2))> |
#<alt (* -1/5040 (pow normAngle 2))> |
#<alt (* -1/5040 (pow normAngle 2))> |
#<alt (* -1/5040 (pow normAngle 2))> |
#<alt (* -1/5040 (pow normAngle 2))> |
#<alt (* -1/5040 (pow normAngle 2))> |
#<alt (* -1/5040 (pow normAngle 2))> |
#<alt (* -1/5040 (pow normAngle 2))> |
#<alt (* -1/5040 (pow normAngle 2))> |
#<alt (* -1/5040 (pow normAngle 2))> |
#<alt (* -1/5040 (pow normAngle 2))> |
#<alt (* -1/5040 (pow normAngle 2))> |
219 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | normAngle | @ | 0 | (+ n0_i (* u (+ (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (* u (* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2))))))) |
| 5.0ms | n1_i | @ | -inf | (/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u) |
| 4.0ms | n1_i | @ | inf | (+ n0_i (* u (+ (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (* u (* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2))))))) |
| 4.0ms | normAngle | @ | inf | (+ (* u n1_i) (* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u)) (* -1 (* u (* u u))))) |
| 3.0ms | n1_i | @ | 0 | (+ (* u n1_i) (* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u)) (* -1 (* u (* u u))))) |
| 1× | batch-egg-rewrite |
| 3916× | *-lowering-*.f32 |
| 3916× | *-lowering-*.f64 |
| 1884× | +-lowering-+.f64 |
| 1884× | +-lowering-+.f32 |
| 1728× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 440 |
| 1 | 498 | 425 |
| 2 | 5413 | 418 |
| 0 | 8045 | 418 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ n0_i (* u (+ (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (* u (* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2))))))) |
(* u (+ (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (* u (* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2)))))) |
(+ (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (* u (* (* normAngle normAngle) (+ (* u (* -1/6 (- n1_i n0_i))) (* n0_i -1/2))))) |
(+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) |
(* u n1_i) |
(+ (* u n1_i) (+ (* (* normAngle normAngle) (* -1/6 (* n1_i (* u (+ (* u u) -1))))) (* n0_i (- 1 u)))) |
(+ (* (* normAngle normAngle) (* -1/6 (* n1_i (* u (+ (* u u) -1))))) (* n0_i (- 1 u))) |
(* (* normAngle normAngle) (* -1/6 (* n1_i (* u (+ (* u u) -1))))) |
(+ (* u n1_i) (* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u)) (* -1 (* u (* u u))))) |
(* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u)) (* -1 (* u (* u u)))) |
(- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u)) |
(/ (- (* -1/2 (* n0_i (* normAngle normAngle))) (/ (+ (- n0_i (/ n0_i u)) (* (* normAngle normAngle) (+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))))) u)) u) |
(* (sin (* u normAngle)) (/ n1_i (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6)))))) |
(sin (* u normAngle)) |
(* u normAngle) |
(/ n1_i (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))))) |
(* -1/6 (- n1_i n0_i)) |
(* n0_i 1/3) |
(* n1_i 1/6) |
(* u (* -1/6 (- n1_i n0_i))) |
(* -1/6 (* n1_i (* u (+ (* u u) -1)))) |
(* n0_i (- 1 u)) |
(* n1_i (* u (+ (* u u) -1))) |
(* u (+ (* u u) -1)) |
(* n0_i -1/6) |
(+ (* n0_i -1/2) (* -1/6 (- n1_i n0_i))) |
(* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) |
(* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6)) |
(* (* normAngle normAngle) -1/5040) |
| Outputs |
|---|
(+.f32 n0_i (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle)))))) |
(+.f32 (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle))))) n0_i) |
(+.f32 (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))))) (+.f32 (*.f32 (*.f32 u (*.f32 u (*.f32 normAngle normAngle))) (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32)))) n0_i)) |
(+.f32 (+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))))) (*.f32 (*.f32 u (*.f32 u (*.f32 normAngle normAngle))) (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))))) |
(pow.f32 (/.f32 (+.f32 (*.f32 n0_i n0_i) (*.f32 (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle))))) (-.f32 (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle))))) n0_i))) (+.f32 (*.f32 n0_i (*.f32 n0_i n0_i)) (*.f32 (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle))))) (*.f32 (*.f32 u u) (*.f32 (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle)))) (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle))))))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 n0_i (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle)))))) (-.f32 (*.f32 n0_i n0_i) (*.f32 (*.f32 u u) (*.f32 (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle)))) (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle)))))))) #s(literal -1 binary32)) |
(fma.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle)))) n0_i) |
(fma.f32 (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle)))) u n0_i) |
(-.f32 (/.f32 (*.f32 n0_i n0_i) (-.f32 n0_i (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle))))))) (/.f32 (*.f32 (*.f32 u u) (*.f32 (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle)))) (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle)))))) (-.f32 n0_i (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle)))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 n0_i n0_i) (*.f32 (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle))))) (-.f32 (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle))))) n0_i))) (+.f32 (*.f32 n0_i (*.f32 n0_i n0_i)) (*.f32 (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle))))) (*.f32 (*.f32 u u) (*.f32 (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle)))) (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle)))))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle)))))) (-.f32 (*.f32 n0_i n0_i) (*.f32 (*.f32 u u) (*.f32 (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle)))) (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle))))))))) |
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(sin.f32 (*.f32 u normAngle)) |
(*.f32 u normAngle) |
(*.f32 normAngle u) |
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(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 normAngle (*.f32 normAngle (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))))) (/.f32 normAngle n1_i))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 normAngle (*.f32 normAngle (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))))) (/.f32 normAngle n1_i)) #s(literal 1 binary32))) |
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(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32))) (-.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))) (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))))) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32))) (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))) (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))) (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))) |
(/.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/1728000 binary32) (*.f32 (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)) #s(literal 1/25401600 binary32))))) (+.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))) (-.f32 (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))) #s(literal 1/120 binary32))))) |
(/.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)) #s(literal 1/25401600 binary32)))) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 normAngle normAngle)))) |
(/.f32 (*.f32 (+.f32 #s(literal 1/1728000 binary32) (*.f32 (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)) #s(literal 1/25401600 binary32)))) (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))) (-.f32 (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))) #s(literal 1/120 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle)) #s(literal 1/25401600 binary32))) (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 normAngle normAngle)))) |
(*.f32 normAngle (*.f32 normAngle (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))) |
(*.f32 (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))) (*.f32 normAngle normAngle)) |
(*.f32 (*.f32 normAngle (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))) normAngle) |
(+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))))) (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)))) |
(+.f32 (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))) (*.f32 #s(literal 1 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))))) |
(+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))))) #s(literal 1 binary32)) (*.f32 (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))) #s(literal 1 binary32))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))) (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))))) #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))) (-.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))) (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)))) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))))) (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))))))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))) (*.f32 (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))) (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))))) (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))))) (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))))) |
(/.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))) (*.f32 (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))))))) #s(literal -1/216 binary32))) (+.f32 (*.f32 (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))) (-.f32 #s(literal 1/36 binary32) (*.f32 (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))) (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))))))) |
(/.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))) #s(literal -1/36 binary32))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))) #s(literal 1/6 binary32))) |
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))) (*.f32 (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))))))) #s(literal -1/216 binary32)) (*.f32 normAngle normAngle)) (+.f32 (*.f32 (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))) (-.f32 #s(literal 1/36 binary32) (*.f32 (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))) (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))))))) |
(/.f32 (*.f32 (+.f32 (*.f32 (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))) #s(literal -1/36 binary32)) (*.f32 normAngle normAngle)) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))) #s(literal 1/6 binary32))) |
(*.f32 normAngle (*.f32 normAngle (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))) |
(*.f32 #s(literal 1 binary32) (*.f32 normAngle (*.f32 normAngle (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))))) |
(*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))))) (*.f32 normAngle normAngle)) |
(*.f32 (*.f32 normAngle (*.f32 normAngle (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)))))))) #s(literal 1 binary32)) |
(*.f32 (*.f32 normAngle (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))) normAngle) |
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 normAngle normAngle)) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))) |
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))))))) (*.f32 normAngle normAngle)) |
(*.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32))) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) |
(*.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle)) |
(*.f32 (*.f32 normAngle #s(literal -1/5040 binary32)) normAngle) |
| 1× | egg-herbie |
| 5558× | *-lowering-*.f32 |
| 5558× | *-lowering-*.f64 |
| 4878× | +-lowering-+.f64 |
| 4878× | +-lowering-+.f32 |
| 1830× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1155 | 20746 |
| 1 | 4211 | 18297 |
| 0 | 8815 | 18297 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(+ (* n0_i (+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+ (* n0_i (+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+ (* n0_i (+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(* n0_i (+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)))) |
(* n0_i (+ 1 (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)))) |
(* n0_i (+ 1 (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)))) |
(* n0_i (+ 1 (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)))) |
(* -1 (* n0_i (- (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u))))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))) 1))) |
n0_i |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))) |
(+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i))) |
(+ n0_i (* u (- (+ n1_i (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (- n1_i n0_i)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(* (pow u 3) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2))))) (/ n0_i (pow u 2)))) |
(* (pow u 3) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n0_i (pow u 3)) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2)))))) (/ n0_i (pow u 2)))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (- n1_i n0_i)))) |
(* -1 (* (pow u 3) (+ (* 1/6 (* (pow normAngle 2) (- n1_i n0_i))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) u))) (/ n0_i u)) u)) (* 1/6 (* (pow normAngle 2) (- n1_i n0_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* 1/6 (* (pow normAngle 2) (- n1_i n0_i)))))) |
(+ n0_i (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))) |
(+ n0_i (+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)))) |
(+ n0_i (+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)))) |
(+ n0_i (+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (/ n0_i n1_i) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (/ n0_i n1_i) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (/ n0_i n1_i) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)))) |
(* -1 (* n1_i (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))))) |
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)) |
(* u (- (+ n1_i (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)) |
(* u (- (+ n1_i (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (- n1_i n0_i)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(* (pow u 3) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2))))) (/ n0_i (pow u 2)))) |
(* (pow u 3) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2))))) (/ n0_i (pow u 2)))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (- n1_i n0_i)))) |
(* -1 (* (pow u 3) (+ (* 1/6 (* (pow normAngle 2) (- n1_i n0_i))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) u))) (/ n0_i u)) u)) (* 1/6 (* (pow normAngle 2) (- n1_i n0_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) u))) (/ n0_i u)) u)) (* 1/6 (* (pow normAngle 2) (- n1_i n0_i)))))) |
(* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) |
(+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))) |
(+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))) |
(+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i))) |
(* -1 (* n1_i (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1)))) |
(* -1 (* n1_i (+ (* -1 (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))))) |
(* -1 (* n1_i (+ (* -1 (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))))) |
(* -1 (* n1_i (+ (* -1 (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))))) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(+ (* n0_i (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+ (* n0_i (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+ (* n0_i (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(* n0_i (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))) |
(* n0_i (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i))) |
(* n0_i (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i))) |
(* n0_i (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i))) |
(* -1 (* n0_i (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u))))))))) |
(* -1 (* n0_i (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))))) |
(* -1 (* n0_i (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))))) |
(* -1 (* n0_i (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))))) |
(* u (- n1_i n0_i)) |
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))))) |
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))))) |
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))))) |
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))) n0_i) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))) n0_i) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))) n0_i) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* n1_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (/ (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))) n1_i))))) (/ n0_i n1_i))) |
(* n1_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (/ (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))) n1_i))))) (/ n0_i n1_i))) |
(* n1_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (/ (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))) n1_i))))) (/ n0_i n1_i))) |
(* -1 (* n1_i (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2))))) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2))))) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2))))) 1))) |
(+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) |
(+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))))) |
(+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))))) |
(+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))))) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) |
(* n0_i (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (+ (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2))) (/ n1_i n0_i))))) 1)) |
(* n0_i (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (+ (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2))) (/ n1_i n0_i))))) 1)) |
(* n0_i (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (+ (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2))) (/ n1_i n0_i))))) 1)) |
(* -1 (* n0_i (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u))))))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u))))))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u))))))))) |
(- n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))) n0_i) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2)))) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) |
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i) |
(- (+ n1_i (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i) |
(- (+ n1_i (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i) |
(* -1/6 (* (pow normAngle 2) (* (pow u 2) (- n1_i n0_i)))) |
(* (pow u 2) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(* (pow u 2) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2))))) (/ n0_i (pow u 2)))) |
(* (pow u 2) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2))))) (/ n0_i (pow u 2)))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 2) (- n1_i n0_i)))) |
(* (pow u 2) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i) |
(* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) |
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) (/ n0_i n1_i))) |
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) (/ n0_i n1_i))) |
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) (/ n0_i n1_i))) |
(* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1))) |
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) |
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) |
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) |
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) |
(* n0_i (- (* 1/3 (pow normAngle 2)) 1)) |
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1)) |
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1)) |
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1)) |
(* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2)))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2)))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2)))))) |
(- n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
n0_i |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ n0_i (pow u 2))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ n0_i (pow u 2)))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ n0_i (pow u 2)))))))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))) |
(+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))) |
(+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (/ (* n0_i (- 1 u)) n1_i)))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (/ (* n0_i (- 1 u)) n1_i)))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (/ (* n0_i (- 1 u)) n1_i)))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(+ (* -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 u)) (* n1_i u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(* n0_i (- 1 u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u)) |
(* n0_i (- 1 u)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i))))) |
(* n0_i (- 1 u)) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n0_i (- 1 u))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* n0_i (- 1 u)) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n0_i (- 1 u))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (/ (* n0_i (- 1 u)) n1_i))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))) |
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))) |
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))) |
n0_i |
(+ n0_i (* u (+ (* -1 n0_i) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2)))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n0_i (pow u 3)))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n0_i (pow u 3)))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ n0_i (pow u 2)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ n0_i (pow u 2))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ n0_i (pow u 2))))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n0_i (- 1 u))) |
(* n0_i (- 1 u)) |
(* n0_i (- (+ 1 (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i))) u)) |
(* n0_i (- (+ 1 (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i))) u)) |
(* n0_i (- (+ 1 (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i))) u)) |
(* n0_i (- 1 u)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* 1/6 (* n1_i (* (pow normAngle 2) u))) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n1_i (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)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
n0_i |
(+ n0_i (* u (+ n1_i (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* u (+ (* -1 (* (pow normAngle 2) (* u (+ (* -1/6 n0_i) (* 1/6 n1_i))))) (* -1/2 (* n0_i (pow normAngle 2))))))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (* -1/2 (/ (* n0_i (pow normAngle 2)) u)))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n1_i (pow u 2)))))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(* -1 (* (pow u 3) (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (- (* -1 (/ (- (* -1 n1_i) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 n1_i) (* -1 (/ n0_i u))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))))) |
(+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))))) (* n1_i (+ u (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))))) |
(+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))))) (* n1_i (+ u (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))))) |
(+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))))) (* n1_i (+ u (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))))) |
(* n1_i (+ u (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))) |
(* n1_i (+ u (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i))))) |
(* n1_i (+ u (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i))))) |
(* n1_i (+ u (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2))))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i))))) |
(+ (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3))))) (* n1_i u)) |
(+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) (+ (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3))))) (* n1_i u))) |
(+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) (+ (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3))))) (* n1_i u))) |
(+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) (+ (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3))))) (* n1_i u))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2))))) |
(+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u)) |
(+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u))) |
(+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u))) |
(+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u))) |
(* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (+ (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (/ (* n1_i u) n0_i)))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (+ (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (/ (* n1_i u) n0_i)))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (+ (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (/ (* n1_i u) n0_i)))) |
(* n0_i (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u)) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u)) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u)) n0_i))))) |
(* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3))))) |
(+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))))) |
(+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))))) |
(+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))))) |
(* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))))) |
(+ (* -1 (* n1_i (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))))) |
(+ (* -1 (* n1_i (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))))) |
(+ (* -1 (* n1_i (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))))) |
(* -1 (* n1_i (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i)))) |
(* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i)))) |
(* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i)))) |
(* n1_i (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(* -1 (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i)))) |
(* -1 (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i)))) |
(* -1 (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))) |
(* n0_i (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))) |
n0_i |
(+ n0_i (* -1 (* u (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))) |
(+ n0_i (* u (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* u (+ (* -1 (* (pow normAngle 2) (* u (+ (* -1/6 n0_i) (* 1/6 n1_i))))) (* -1/2 (* n0_i (pow normAngle 2)))))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (* -1/2 (/ (* n0_i (pow normAngle 2)) u)))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (* -1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(* -1 (* (pow u 3) (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(- (/ n0_i (pow u 2)) (/ n0_i (pow u 3))) |
(- (+ (* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))) (/ n0_i (pow u 2))) (/ n0_i (pow u 3))) |
(- (+ (* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))) (/ n0_i (pow u 2))) (/ n0_i (pow u 3))) |
(- (+ (* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))) (/ n0_i (pow u 2))) (/ n0_i (pow u 3))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))))) |
(- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))) |
(- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))) |
(- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))) |
(- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))) |
(* n1_i (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) |
(* n1_i (- (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (/ n0_i (* n1_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (* n1_i (pow u 2))))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (/ n0_i (* n1_i (pow u 3)))))) |
(* n1_i (- (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (/ n0_i (* n1_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (* n1_i (pow u 2))))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (/ n0_i (* n1_i (pow u 3)))))) |
(* n1_i (- (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (/ n0_i (* n1_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (* n1_i (pow u 2))))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (/ n0_i (* n1_i (pow u 3)))))) |
(* -1 (* n1_i (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(* -1 (* n1_i (+ (* -1 (/ (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2))))))) |
(* -1 (* n1_i (+ (* -1 (/ (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2))))))) |
(* -1 (* n1_i (+ (* -1 (/ (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2))))))) |
(+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))) |
(+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) |
(+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) |
(+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) |
(* n0_i (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))) |
(* n0_i (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2)))))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))) |
(* n0_i (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2)))))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))) |
(* n0_i (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2)))))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))) |
(* -1 (* n0_i (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3))))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3))))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3))))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) |
(* -1 (/ n0_i (pow u 3))) |
(/ (- (* u (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) n0_i) (pow u 3)) |
(/ (- (* u (+ n0_i (+ (* 1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i) (pow u 3)) |
(/ (- (* u (+ n0_i (+ (* u (- (* (pow normAngle 2) (* u (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (* -1/2 (* n0_i (pow normAngle 2))))) (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i) (pow u 3)) |
(* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))) |
(+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) |
(- (+ (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (pow u 2)))) (* -1/2 (/ (* n0_i (pow normAngle 2)) u))) |
(- (+ (* -1 (/ n0_i (pow u 3))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (* -1/2 (/ (* n0_i (pow normAngle 2)) u)))) |
(* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))) |
(+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) |
(+ (* -1 (/ (- (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ n0_i u)) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) |
(* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) |
(+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* n0_i (- (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))) |
(+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* n0_i (- (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))) |
(+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* n0_i (- (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))) |
(/ (* n0_i (- (+ (* -1/2 (pow normAngle 2)) (/ 1 (pow u 2))) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u)))) u) |
(* n0_i (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ 1 (pow u 3)))) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(* n0_i (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ 1 (pow u 3)))) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(* n0_i (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ 1 (pow u 3)))) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(* -1 (/ (* n0_i (- (+ (* 1/2 (pow normAngle 2)) (/ 1 u)) (+ (* 1/3 (/ (pow normAngle 2) u)) (/ 1 (pow u 2))))) u)) |
(* -1 (* n0_i (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))))) |
(* -1 (* n0_i (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))))) |
(* -1 (* n0_i (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))))) |
(/ (- (/ n0_i (pow u 2)) (/ n0_i u)) u) |
(- (+ (* (pow normAngle 2) (- (* -1/2 (/ n0_i u)) (+ (* -1/2 (/ n0_i (pow u 2))) (* -1/6 (/ (- n1_i n0_i) (pow u 2)))))) (/ n0_i (pow u 3))) (/ n0_i (pow u 2))) |
(- (+ (* (pow normAngle 2) (- (* -1/2 (/ n0_i u)) (+ (* -1/2 (/ n0_i (pow u 2))) (* -1/6 (/ (- n1_i n0_i) (pow u 2)))))) (/ n0_i (pow u 3))) (/ n0_i (pow u 2))) |
(- (+ (* (pow normAngle 2) (- (* -1/2 (/ n0_i u)) (+ (* -1/2 (/ n0_i (pow u 2))) (* -1/6 (/ (- n1_i n0_i) (pow u 2)))))) (/ n0_i (pow u 3))) (/ n0_i (pow u 2))) |
(/ (* (pow normAngle 2) (- (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))) u) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))) (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))) (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))) (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) |
(/ (* (pow normAngle 2) (- (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))) u) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))) (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))) (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))) (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) |
(/ n0_i (pow u 3)) |
(/ (+ n0_i (* -1 (* u (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))) (pow u 3)) |
(/ (+ n0_i (* u (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) (pow u 3)) |
(/ (+ n0_i (* u (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) (pow u 3)) |
(* -1/2 (/ (* n0_i (pow normAngle 2)) u)) |
(/ (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u) |
(/ (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) u)) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n0_i (pow u 2)))) u) |
(/ (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) u)) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n0_i (pow u 2)))) u) |
(* -1/2 (/ (* n0_i (pow normAngle 2)) u)) |
(* -1 (/ (+ (* 1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) u))) u)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (/ n0_i u)) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (/ n0_i u)) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) |
(/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n0_i (pow u 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) u) |
(- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) |
(- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) |
(- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) |
(* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) |
(* n1_i (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ n0_i (* n1_i (pow u 3))))) (+ (/ n0_i (* n1_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (* n1_i (pow u 2)))))) |
(* n1_i (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ n0_i (* n1_i (pow u 3))))) (+ (/ n0_i (* n1_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (* n1_i (pow u 2)))))) |
(* n1_i (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ n0_i (* n1_i (pow u 3))))) (+ (/ n0_i (* n1_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (* n1_i (pow u 2)))))) |
(* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) |
(* -1 (* n1_i (+ (* -1 (/ (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) n1_i)) (* -1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(* -1 (* n1_i (+ (* -1 (/ (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) n1_i)) (* -1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(* -1 (* n1_i (+ (* -1 (/ (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) n1_i)) (* -1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(/ (* n1_i u) (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) (/ n1_i (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) (* 1/120 (/ (* n1_i (* (pow normAngle 4) (pow u 2))) (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))) (/ n1_i (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 6) (pow u 2))) (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) (* 1/120 (/ (* n1_i (pow normAngle 4)) (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))) (/ n1_i (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(* -5040 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 7))) |
(/ (+ (* -211680 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 2))) (* -5040 (* n1_i (sin (* normAngle u))))) (pow normAngle 7)) |
(/ (- (+ (* -5040 (* n1_i (sin (* normAngle u)))) (* -1 (/ (+ (* -4233600 (* n1_i (sin (* normAngle u)))) (* 8890560 (* n1_i (sin (* normAngle u))))) (pow normAngle 4)))) (* 211680 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 2)))) (pow normAngle 7)) |
(/ (- (+ (* -5040 (* n1_i (sin (* normAngle u)))) (* -1 (/ (+ (* -177811200 (* n1_i (sin (* normAngle u)))) (+ (* 42 (+ (* -4233600 (* n1_i (sin (* normAngle u)))) (* 8890560 (* n1_i (sin (* normAngle u)))))) (* 25401600 (* n1_i (sin (* normAngle u)))))) (pow normAngle 6)))) (+ (* -4233600 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4))) (+ (* 211680 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 2))) (* 8890560 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4)))))) (pow normAngle 7)) |
(* -5040 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 7))) |
(* -1 (/ (+ (* 5040 (* n1_i (sin (* normAngle u)))) (* 211680 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 2)))) (pow normAngle 7))) |
(* -1 (/ (+ (* -4233600 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4))) (+ (* 5040 (* n1_i (sin (* normAngle u)))) (+ (* 211680 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 2))) (* 8890560 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4)))))) (pow normAngle 7))) |
(* -1 (/ (+ (* -177811200 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 6))) (+ (* -4233600 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4))) (+ (* 42 (/ (+ (* -4233600 (* n1_i (sin (* normAngle u)))) (* 8890560 (* n1_i (sin (* normAngle u))))) (pow normAngle 6))) (+ (* 5040 (* n1_i (sin (* normAngle u)))) (+ (* 211680 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 2))) (+ (* 8890560 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4))) (* 25401600 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 6))))))))) (pow normAngle 7))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(* normAngle u) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(* normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(sin (* normAngle u)) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(* normAngle u) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/ n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(* -5040 (/ n1_i (pow normAngle 7))) |
(/ (+ (* -211680 (/ n1_i (pow normAngle 2))) (* -5040 n1_i)) (pow normAngle 7)) |
(/ (- (+ (* -5040 n1_i) (* -1 (/ (+ (* -4233600 n1_i) (* 8890560 n1_i)) (pow normAngle 4)))) (* 211680 (/ n1_i (pow normAngle 2)))) (pow normAngle 7)) |
(/ (- (+ (* -5040 n1_i) (* -1 (/ (+ (* -177811200 n1_i) (+ (* 42 (+ (* -4233600 n1_i) (* 8890560 n1_i))) (* 25401600 n1_i))) (pow normAngle 6)))) (+ (* -4233600 (/ n1_i (pow normAngle 4))) (+ (* 211680 (/ n1_i (pow normAngle 2))) (* 8890560 (/ n1_i (pow normAngle 4)))))) (pow normAngle 7)) |
(* -5040 (/ n1_i (pow normAngle 7))) |
(* -1 (/ (+ (* 5040 n1_i) (* 211680 (/ n1_i (pow normAngle 2)))) (pow normAngle 7))) |
(* -1 (/ (+ (* -4233600 (/ n1_i (pow normAngle 4))) (+ (* 5040 n1_i) (+ (* 211680 (/ n1_i (pow normAngle 2))) (* 8890560 (/ n1_i (pow normAngle 4)))))) (pow normAngle 7))) |
(* -1 (/ (+ (* -177811200 (/ n1_i (pow normAngle 6))) (+ (* -4233600 (/ n1_i (pow normAngle 4))) (+ (* 42 (/ (+ (* -4233600 n1_i) (* 8890560 n1_i)) (pow normAngle 6))) (+ (* 5040 n1_i) (+ (* 211680 (/ n1_i (pow normAngle 2))) (+ (* 8890560 (/ n1_i (pow normAngle 4))) (* 25401600 (/ n1_i (pow normAngle 6))))))))) (pow normAngle 7))) |
(* 1/6 n0_i) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(* -1/6 n1_i) |
(* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)) |
(* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)) |
(* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)) |
(* -1/6 n1_i) |
(* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))) |
(* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))) |
(* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))) |
(* -1/6 n1_i) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(* 1/6 n0_i) |
(* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))) |
(* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))) |
(* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))) |
(* 1/6 n0_i) |
(* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))) |
(* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))) |
(* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* -1/6 (* u (- n1_i n0_i))) |
(* -1/6 (* u (- n1_i n0_i))) |
(* -1/6 (* u (- n1_i n0_i))) |
(* -1/6 (* u (- n1_i n0_i))) |
(* -1/6 (* u (- n1_i n0_i))) |
(* -1/6 (* u (- n1_i n0_i))) |
(* -1/6 (* u (- n1_i n0_i))) |
(* -1/6 (* u (- n1_i n0_i))) |
(* -1/6 (* u (- n1_i n0_i))) |
(* -1/6 (* u (- n1_i n0_i))) |
(* -1/6 (* u (- n1_i n0_i))) |
(* -1/6 (* u (- n1_i n0_i))) |
(* 1/6 (* n0_i u)) |
(+ (* -1/6 (* n1_i u)) (* 1/6 (* n0_i u))) |
(+ (* -1/6 (* n1_i u)) (* 1/6 (* n0_i u))) |
(+ (* -1/6 (* n1_i u)) (* 1/6 (* n0_i u))) |
(* -1/6 (* n1_i u)) |
(* n1_i (+ (* -1/6 u) (* 1/6 (/ (* n0_i u) n1_i)))) |
(* n1_i (+ (* -1/6 u) (* 1/6 (/ (* n0_i u) n1_i)))) |
(* n1_i (+ (* -1/6 u) (* 1/6 (/ (* n0_i u) n1_i)))) |
(* -1/6 (* n1_i u)) |
(* -1 (* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (* 1/6 u)))) |
(* -1 (* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (* 1/6 u)))) |
(* -1 (* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (* 1/6 u)))) |
(* -1/6 (* n1_i u)) |
(+ (* -1/6 (* n1_i u)) (* 1/6 (* n0_i u))) |
(+ (* -1/6 (* n1_i u)) (* 1/6 (* n0_i u))) |
(+ (* -1/6 (* n1_i u)) (* 1/6 (* n0_i u))) |
(* 1/6 (* n0_i u)) |
(* n0_i (+ (* -1/6 (/ (* n1_i u) n0_i)) (* 1/6 u))) |
(* n0_i (+ (* -1/6 (/ (* n1_i u) n0_i)) (* 1/6 u))) |
(* n0_i (+ (* -1/6 (/ (* n1_i u) n0_i)) (* 1/6 u))) |
(* 1/6 (* n0_i u)) |
(* -1 (* n0_i (+ (* -1/6 u) (* 1/6 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1/6 u) (* 1/6 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1/6 u) (* 1/6 (/ (* n1_i u) n0_i))))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* -1/6 (* n1_i (* u (- (pow u 2) 1)))) |
(* 1/6 (* n1_i u)) |
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i))) |
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i))) |
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i))) |
(* -1/6 (* n1_i (pow u 3))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) |
(* -1/6 (* n1_i (pow u 3))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i)))) |
(* n0_i (- 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))))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (* u (- (pow u 2) 1))) |
(* -1 (* n1_i u)) |
(* u (+ (* -1 n1_i) (* n1_i (pow u 2)))) |
(* u (+ (* -1 n1_i) (* n1_i (pow u 2)))) |
(* u (+ (* -1 n1_i) (* n1_i (pow u 2)))) |
(* n1_i (pow u 3)) |
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ n1_i (* -1 (/ n1_i (pow u 2))))) |
(* n1_i (pow u 3)) |
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2))))) |
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2))))) |
(* -1 (* (pow u 3) (+ (* -1 n1_i) (/ n1_i (pow u 2))))) |
(* -1 u) |
(* u (- (pow u 2) 1)) |
(* u (- (pow u 2) 1)) |
(* u (- (pow u 2) 1)) |
(pow u 3) |
(* (pow u 3) (- 1 (/ 1 (pow u 2)))) |
(* (pow u 3) (- 1 (/ 1 (pow u 2)))) |
(* (pow u 3) (- 1 (/ 1 (pow u 2)))) |
(pow u 3) |
(* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1))) |
(* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1))) |
(* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1))) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 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)) |
(* -1/3 n0_i) |
(* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)) |
(* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)) |
(* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)) |
(* -1/3 n0_i) |
(* -1 (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))) |
(+ (* -1/2 n0_i) (* 1/6 n0_i)) |
(+ (* -1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(+ (* -1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(+ (* -1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(* -1/6 n1_i) |
(* n1_i (- (+ (* -1/2 (/ n0_i n1_i)) (* 1/6 (/ n0_i n1_i))) 1/6)) |
(* n1_i (- (+ (* -1/2 (/ n0_i n1_i)) (* 1/6 (/ n0_i n1_i))) 1/6)) |
(* n1_i (- (+ (* -1/2 (/ n0_i n1_i)) (* 1/6 (/ n0_i n1_i))) 1/6)) |
(* -1/6 n1_i) |
(* -1 (* n1_i (+ 1/6 (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 n0_i)) n1_i))))) |
(* -1 (* n1_i (+ 1/6 (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 n0_i)) n1_i))))) |
(* -1 (* n1_i (+ 1/6 (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 n0_i)) n1_i))))) |
(* 1/120 (pow normAngle 2)) |
(* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) |
(* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) |
(* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) |
(* -1/5040 (pow normAngle 4)) |
(* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040)) |
(* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040)) |
(* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040)) |
(* -1/5040 (pow normAngle 4)) |
(* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040)) |
(* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040)) |
(* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040)) |
(* -1/6 (pow normAngle 2)) |
(* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)) |
(* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)) |
(* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)) |
(* -1/5040 (pow normAngle 6)) |
(* (pow normAngle 6) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040)) |
(* (pow normAngle 6) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4))))) |
(* (pow normAngle 6) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4))))) |
(* -1/5040 (pow normAngle 6)) |
(* (pow normAngle 6) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040)) |
(* (pow normAngle 6) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4))))) |
(* (pow normAngle 6) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4))))) |
(* -1/5040 (pow normAngle 2)) |
(* -1/5040 (pow normAngle 2)) |
(* -1/5040 (pow normAngle 2)) |
(* -1/5040 (pow normAngle 2)) |
(* -1/5040 (pow normAngle 2)) |
(* -1/5040 (pow normAngle 2)) |
(* -1/5040 (pow normAngle 2)) |
(* -1/5040 (pow normAngle 2)) |
(* -1/5040 (pow normAngle 2)) |
(* -1/5040 (pow normAngle 2)) |
(* -1/5040 (pow normAngle 2)) |
(* -1/5040 (pow normAngle 2)) |
| Outputs |
|---|
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) |
(+ (* n0_i (+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))))))) |
(+ (* n0_i (+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))))))) |
(+ (* n0_i (+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))))))) |
(* n0_i (+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)))) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32)))))) |
(* n0_i (+ 1 (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)))) |
(*.f32 n0_i (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))))) (/.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) n0_i))) |
(* n0_i (+ 1 (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)))) |
(*.f32 n0_i (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))))) (/.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) n0_i))) |
(* n0_i (+ 1 (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)))) |
(*.f32 n0_i (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))))) (/.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) n0_i))) |
(* -1 (* n0_i (- (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u))))))) 1))) |
(*.f32 n0_i (neg.f32 (+.f32 (*.f32 u (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32))) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/2 binary32) (*.f32 u #s(literal -1/6 binary32)))))) #s(literal -1 binary32)))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))) 1))) |
(*.f32 (+.f32 (-.f32 (*.f32 u (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32))) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/2 binary32) (*.f32 u #s(literal -1/6 binary32)))))) (/.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) n0_i)) #s(literal -1 binary32)) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))) 1))) |
(*.f32 (+.f32 (-.f32 (*.f32 u (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32))) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/2 binary32) (*.f32 u #s(literal -1/6 binary32)))))) (/.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) n0_i)) #s(literal -1 binary32)) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))) 1))) |
(*.f32 (+.f32 (-.f32 (*.f32 u (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32))) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/2 binary32) (*.f32 u #s(literal -1/6 binary32)))))) (/.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) n0_i)) #s(literal -1 binary32)) (neg.f32 n0_i)) |
n0_i |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))) |
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)))) |
(+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i))) |
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle))))) n0_i)))) |
(+ n0_i (* u (- (+ n1_i (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i))) |
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u (-.f32 n1_i n0_i)))))) n0_i)))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (- n1_i n0_i)))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) (*.f32 u (*.f32 u u))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)))) |
(* (pow u 3) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2))))) (/ n0_i (pow u 2)))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i))) (+.f32 (/.f32 n1_i (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 u u)))) (/.f32 n0_i (*.f32 u u)))) |
(* (pow u 3) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n0_i (pow u 3)) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2)))))) (/ n0_i (pow u 2)))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i))) (+.f32 (+.f32 (/.f32 n1_i (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 u u))) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (/.f32 n0_i (*.f32 u u)))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (- n1_i n0_i)))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) (*.f32 u (*.f32 u u))))) |
(* -1 (* (pow u 3) (+ (* 1/6 (* (pow normAngle 2) (- n1_i n0_i))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(*.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (-.f32 n1_i n0_i)) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u)))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) u))) (/ n0_i u)) u)) (* 1/6 (* (pow normAngle 2) (- n1_i n0_i)))))) |
(*.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (-.f32 n1_i n0_i)) (/.f32 (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n1_i u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) u)) (/.f32 n0_i u)) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* 1/6 (* (pow normAngle 2) (- n1_i n0_i)))))) |
(*.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (-.f32 n1_i n0_i)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 (-.f32 (neg.f32 (/.f32 n0_i u)) (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i))) u)) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(+ n0_i (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))) |
(+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i)))) |
(+ n0_i (+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)))) |
(+.f32 n0_i (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i))) (*.f32 (*.f32 u n1_i) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))))))) |
(+ n0_i (+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)))) |
(+.f32 n0_i (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i))) (*.f32 (*.f32 u n1_i) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))))))) |
(+ n0_i (+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)))) |
(+.f32 n0_i (+.f32 (*.f32 u (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i))) (*.f32 (*.f32 u n1_i) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))))))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(*.f32 (*.f32 u n1_i) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (/ n0_i n1_i) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)))) |
(*.f32 n1_i (+.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))))) (+.f32 (/.f32 n0_i n1_i) (*.f32 u (/.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i)) n1_i))))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (/ n0_i n1_i) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)))) |
(*.f32 n1_i (+.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))))) (+.f32 (/.f32 n0_i n1_i) (*.f32 u (/.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i)) n1_i))))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (/ n0_i n1_i) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)))) |
(*.f32 n1_i (+.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))))) (+.f32 (/.f32 n0_i n1_i) (*.f32 u (/.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i)) n1_i))))) |
(* -1 (* n1_i (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 u n1_i)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u)) #s(literal -1 binary32)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))))) |
(*.f32 (-.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u)) #s(literal -1 binary32)))) (/.f32 (+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i)))) n1_i)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))))) |
(*.f32 (-.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u)) #s(literal -1 binary32)))) (/.f32 (+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i)))) n1_i)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))))) |
(*.f32 (-.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u)) #s(literal -1 binary32)))) (/.f32 (+.f32 n0_i (*.f32 u (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i)))) n1_i)) (neg.f32 n1_i)) |
(+ n0_i (* u (- n1_i n0_i))) |
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))))) |
(+.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i)))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))))) |
(+.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i)))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))))) |
(+.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i)))))))) |
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))) |
(*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) (+.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (/.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) (+.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (/.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) (+.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (/.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))) |
(*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) (+.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (/.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) (+.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (/.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) (+.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (/.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle))))) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i))) |
(* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)) |
(*.f32 u (+.f32 n1_i (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle))))) n0_i))) |
(* u (- (+ n1_i (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)) |
(*.f32 u (+.f32 n1_i (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u (-.f32 n1_i n0_i)))))) n0_i))) |
(* u (- (+ n1_i (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)) |
(*.f32 u (+.f32 n1_i (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u (-.f32 n1_i n0_i)))))) n0_i))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (- n1_i n0_i)))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) (*.f32 u (*.f32 u u))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)))) |
(* (pow u 3) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2))))) (/ n0_i (pow u 2)))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i))) (+.f32 (/.f32 n1_i (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 u u)))) (/.f32 n0_i (*.f32 u u)))) |
(* (pow u 3) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2))))) (/ n0_i (pow u 2)))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i))) (+.f32 (/.f32 n1_i (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 u u)))) (/.f32 n0_i (*.f32 u u)))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (- n1_i n0_i)))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) (*.f32 u (*.f32 u u))))) |
(* -1 (* (pow u 3) (+ (* 1/6 (* (pow normAngle 2) (- n1_i n0_i))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(*.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (-.f32 n1_i n0_i)) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u)))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) u))) (/ n0_i u)) u)) (* 1/6 (* (pow normAngle 2) (- n1_i n0_i)))))) |
(*.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (-.f32 n1_i n0_i)) (/.f32 (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n1_i u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) u)) (/.f32 n0_i u)) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) u))) (/ n0_i u)) u)) (* 1/6 (* (pow normAngle 2) (- n1_i n0_i)))))) |
(*.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (-.f32 n1_i n0_i)) (/.f32 (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n1_i u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) u)) (/.f32 n0_i u)) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) |
(*.f32 u (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i))) |
(+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))) |
(+.f32 (*.f32 u (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i))) (*.f32 (*.f32 u n1_i) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))))) |
(+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))) |
(+.f32 (*.f32 u (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i))) (*.f32 (*.f32 u n1_i) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))))) |
(+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i))) |
(+.f32 (*.f32 u (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i))) (*.f32 (*.f32 u n1_i) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(*.f32 (*.f32 u n1_i) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i))) |
(*.f32 n1_i (+.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))))) (*.f32 u (/.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i)) n1_i)))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i))) |
(*.f32 n1_i (+.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))))) (*.f32 u (/.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i)) n1_i)))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i))) |
(*.f32 n1_i (+.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))))) (*.f32 u (/.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i)) n1_i)))) |
(* -1 (* n1_i (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 u n1_i)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u)) #s(literal -1 binary32)))) |
(* -1 (* n1_i (+ (* -1 (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))))) |
(*.f32 (-.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u)) #s(literal -1 binary32)))) (*.f32 u (/.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i)) n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))))) |
(*.f32 (-.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u)) #s(literal -1 binary32)))) (*.f32 u (/.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i)) n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (* u (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i)) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))))) |
(*.f32 (-.f32 (*.f32 u (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u)) #s(literal -1 binary32)))) (*.f32 u (/.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i)) n1_i))) (neg.f32 n1_i)) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) |
(+ (* n0_i (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) (*.f32 (*.f32 u n0_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))))) |
(+ (* n0_i (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) (*.f32 (*.f32 u n0_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))))) |
(+ (* n0_i (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) (*.f32 (*.f32 u n0_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))))) |
(* n0_i (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))) |
(*.f32 (*.f32 u n0_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32)))) |
(* n0_i (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i))) |
(*.f32 n0_i (+.f32 (*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (/.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) n0_i))) |
(* n0_i (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i))) |
(*.f32 n0_i (+.f32 (*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (/.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) n0_i))) |
(* n0_i (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i))) |
(*.f32 n0_i (+.f32 (*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32)))) (/.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) n0_i))) |
(* -1 (* n0_i (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u))))))))) |
(*.f32 (*.f32 u (neg.f32 n0_i)) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32))) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/2 binary32) (*.f32 u #s(literal -1/6 binary32)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))))) |
(*.f32 (-.f32 (*.f32 u (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32))) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/2 binary32) (*.f32 u #s(literal -1/6 binary32)))))) (/.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) n0_i)) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))))) |
(*.f32 (-.f32 (*.f32 u (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32))) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/2 binary32) (*.f32 u #s(literal -1/6 binary32)))))) (/.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) n0_i)) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))))) |
(*.f32 (-.f32 (*.f32 u (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32))) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/2 binary32) (*.f32 u #s(literal -1/6 binary32)))))) (/.f32 (*.f32 u (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) n0_i)) (neg.f32 n0_i)) |
(* u (- n1_i n0_i)) |
(*.f32 u (-.f32 n1_i n0_i)) |
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))))) |
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i)))))))) |
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))))) |
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i)))))))) |
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))))) |
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i)))))))) |
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))) |
(*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) (/.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) (/.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) (/.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))) |
(*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) (/.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) (/.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) (/.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle)))) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i) |
(+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i)) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))) n0_i) |
(+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) (*.f32 n1_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))))) n0_i)) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))) n0_i) |
(+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) (*.f32 n1_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))))) n0_i)) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))) n0_i) |
(+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) (*.f32 n1_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))))) n0_i)) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))))) |
(* n1_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (/ (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))) n1_i))))) (/ n0_i n1_i))) |
(*.f32 n1_i (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))) (+.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) n1_i))) (/.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n1_i))) (/.f32 n0_i n1_i))) |
(* n1_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (/ (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))) n1_i))))) (/ n0_i n1_i))) |
(*.f32 n1_i (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))) (+.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) n1_i))) (/.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n1_i))) (/.f32 n0_i n1_i))) |
(* n1_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (/ (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))) n1_i))))) (/ n0_i n1_i))) |
(*.f32 n1_i (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))) (+.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) n1_i))) (/.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n1_i))) (/.f32 n0_i n1_i))) |
(* -1 (* n1_i (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))) |
(*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u)) #s(literal -1 binary32))) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2))))) 1))) |
(*.f32 (+.f32 (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u))) (/.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i)) n1_i)) #s(literal -1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2))))) 1))) |
(*.f32 (+.f32 (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u))) (/.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i)) n1_i)) #s(literal -1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) n0_i) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2))))) 1))) |
(*.f32 (+.f32 (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u))) (/.f32 (+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 u n0_i)))) n0_i)) n1_i)) #s(literal -1 binary32)) (neg.f32 n1_i)) |
(+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) |
(+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) |
(+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))))) |
(+.f32 n1_i (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))) (*.f32 n0_i (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32)))))) |
(+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))))) |
(+.f32 n1_i (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))) (*.f32 n0_i (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32)))))) |
(+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1))))) |
(+.f32 n1_i (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))) (*.f32 n0_i (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32)))))) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2)))) 1)) |
(*.f32 n0_i (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32)))) |
(* n0_i (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (+ (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2))) (/ n1_i n0_i))))) 1)) |
(*.f32 n0_i (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) n0_i) (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (+.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32)))) (/.f32 n1_i n0_i))) #s(literal -1 binary32)))) |
(* n0_i (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (+ (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2))) (/ n1_i n0_i))))) 1)) |
(*.f32 n0_i (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) n0_i) (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (+.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32)))) (/.f32 n1_i n0_i))) #s(literal -1 binary32)))) |
(* n0_i (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (+ (* (pow normAngle 2) (* u (- (* 1/6 u) 1/2))) (/ n1_i n0_i))))) 1)) |
(*.f32 n0_i (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) n0_i) (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (+.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32)))) (/.f32 n1_i n0_i))) #s(literal -1 binary32)))) |
(* -1 (* n0_i (+ 1 (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u)))))))) |
(*.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32))) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/2 binary32) (*.f32 u #s(literal -1/6 binary32))))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u))))))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/2 binary32) (*.f32 u #s(literal -1/6 binary32))))) (/.f32 (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) n0_i))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u))))))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/2 binary32) (*.f32 u #s(literal -1/6 binary32))))) (/.f32 (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) n0_i))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* (pow normAngle 2) (* u (+ 1/2 (* -1/6 u))))))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 #s(literal 1/2 binary32) (*.f32 u #s(literal -1/6 binary32))))) (/.f32 (+.f32 n1_i (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) n0_i))) (neg.f32 n0_i)) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))) n0_i) |
(+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) n0_i)) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))) n0_i) |
(+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) n0_i)) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))))) n0_i) |
(+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) n0_i)) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (+.f32 (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))) (/.f32 n1_i (*.f32 normAngle normAngle)))) (/.f32 n0_i (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (+.f32 (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))) (/.f32 n1_i (*.f32 normAngle normAngle)))) (/.f32 n0_i (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (+.f32 (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))) (/.f32 n1_i (*.f32 normAngle normAngle)))) (/.f32 n0_i (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (+.f32 (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))) (/.f32 n1_i (*.f32 normAngle normAngle)))) (/.f32 n0_i (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (+.f32 (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))) (/.f32 n1_i (*.f32 normAngle normAngle)))) (/.f32 n0_i (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (+.f32 (*.f32 u (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (-.f32 n1_i n0_i))))) (/.f32 n1_i (*.f32 normAngle normAngle)))) (/.f32 n0_i (*.f32 normAngle normAngle)))) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) |
(+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)) |
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i) |
(+.f32 n1_i (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle))))) n0_i)) |
(- (+ n1_i (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i) |
(+.f32 n1_i (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u (-.f32 n1_i n0_i)))))) n0_i)) |
(- (+ n1_i (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i) |
(+.f32 n1_i (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 u (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u (-.f32 n1_i n0_i)))))) n0_i)) |
(* -1/6 (* (pow normAngle 2) (* (pow u 2) (- n1_i n0_i)))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (-.f32 n1_i n0_i))) |
(* (pow u 2) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(*.f32 (*.f32 u u) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)))) |
(* (pow u 2) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2))))) (/ n0_i (pow u 2)))) |
(*.f32 (*.f32 u u) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i))) (+.f32 (/.f32 n1_i (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 u u)))) (/.f32 n0_i (*.f32 u u)))) |
(* (pow u 2) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2))))) (/ n0_i (pow u 2)))) |
(*.f32 (*.f32 u u) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i))) (+.f32 (/.f32 n1_i (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 u u)))) (/.f32 n0_i (*.f32 u u)))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 2) (- n1_i n0_i)))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) (-.f32 n1_i n0_i))) |
(* (pow u 2) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(*.f32 (*.f32 u u) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(*.f32 (*.f32 u u) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)) u)) u))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(*.f32 (*.f32 u u) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i)) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)) u)) u))) |
(- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) |
(-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) n0_i) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i) |
(+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))) n0_i)) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i) |
(+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))) n0_i)) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i) |
(+.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))) n0_i)) |
(* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) |
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))) |
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) (/ n0_i n1_i))) |
(*.f32 n1_i (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) n1_i))) (/.f32 n0_i n1_i))) |
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) (/ n0_i n1_i))) |
(*.f32 n1_i (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) n1_i))) (/.f32 n0_i n1_i))) |
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) (/ n0_i n1_i))) |
(*.f32 n1_i (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) n1_i))) (/.f32 n0_i n1_i))) |
(* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1))) |
(*.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(literal -1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1))) |
(neg.f32 (*.f32 n1_i (+.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) n0_i) n1_i)) #s(literal -1 binary32)))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1))) |
(neg.f32 (*.f32 n1_i (+.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) n0_i) n1_i)) #s(literal -1 binary32)))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1))) |
(neg.f32 (*.f32 n1_i (+.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) n0_i) n1_i)) #s(literal -1 binary32)))) |
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) |
(+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))) |
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) |
(+.f32 (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))) (*.f32 n0_i (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32)))) |
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) |
(+.f32 (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))) (*.f32 n0_i (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32)))) |
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) |
(+.f32 (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))) (*.f32 n0_i (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32)))) |
(* n0_i (- (* 1/3 (pow normAngle 2)) 1)) |
(*.f32 n0_i (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32))) |
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1)) |
(*.f32 n0_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (+.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (/.f32 n1_i n0_i)) #s(literal -1 binary32)))) |
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1)) |
(*.f32 n0_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (+.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (/.f32 n1_i n0_i)) #s(literal -1 binary32)))) |
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1)) |
(*.f32 n0_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (+.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (/.f32 n1_i n0_i)) #s(literal -1 binary32)))) |
(* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) |
(-.f32 #s(literal 0 binary32) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2)))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (/.f32 (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))) n0_i))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2)))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (/.f32 (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))) n0_i))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2)))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (/.f32 (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))) n0_i))) (neg.f32 n0_i)) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) |
(+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) |
(+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) |
(+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (-.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (/.f32 n1_i (*.f32 normAngle normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (-.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (/.f32 n1_i (*.f32 normAngle normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (-.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (/.f32 n1_i (*.f32 normAngle normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (-.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (/.f32 n1_i (*.f32 normAngle normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (-.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (/.f32 n1_i (*.f32 normAngle normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (-.f32 (+.f32 (*.f32 n0_i #s(literal 1/3 binary32)) (/.f32 n1_i (*.f32 normAngle normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle))))) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
(* n1_i u) |
(*.f32 u n1_i) |
n0_i |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u)))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (+.f32 (/.f32 n1_i (*.f32 u u)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 u u)))) (/.f32 n0_i (*.f32 u u)))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 u u)) (+.f32 (/.f32 n1_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) (/.f32 n0_i (*.f32 u u)))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 u u)) (+.f32 (/.f32 n1_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) (/.f32 n0_i (*.f32 u u)))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ n0_i (pow u 2))))))) |
(neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (/.f32 n0_i (*.f32 u u)))) (/.f32 n1_i (*.f32 u u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ n0_i (pow u 2)))))))) |
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n0_i |
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(* n0_i (- 1 u)) |
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n0_i |
(+ n0_i (* u (+ n1_i (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) |
(+.f32 n0_i (*.f32 u (-.f32 n1_i (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))) |
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))) (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* u (+ (* -1 (* (pow normAngle 2) (* u (+ (* -1/6 n0_i) (* 1/6 n1_i))))) (* -1/2 (* n0_i (pow normAngle 2))))))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))))) (*.f32 u (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i))))))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(*.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1 binary32) (*.f32 normAngle normAngle))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (* -1/2 (/ (* n0_i (pow normAngle 2)) u)))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i))))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n1_i (pow u 2)))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n1_i (*.f32 u u))) (/.f32 (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) (*.f32 u u))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i))))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (+.f32 (/.f32 n1_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (/.f32 (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) (*.f32 u u))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(*.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1 binary32) (*.f32 normAngle normAngle))) |
(* -1 (* (pow u 3) (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i)))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (- (* -1 (/ (- (* -1 n1_i) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i))) (/.f32 (+.f32 (/.f32 (+.f32 (neg.f32 n1_i) (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))))) (neg.f32 u)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 n1_i) (* -1 (/ n0_i u))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i))) (/.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (neg.f32 (+.f32 n1_i (/.f32 n0_i u))) (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))))) u) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)))) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))))) |
(*.f32 (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))))) (* n1_i (+ u (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))))) |
(-.f32 (*.f32 n1_i (-.f32 u (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)))))) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u))))))) |
(+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))))) (* n1_i (+ u (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))))) |
(-.f32 (*.f32 n1_i (-.f32 u (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)))))) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u))))))) |
(+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))))) (* n1_i (+ u (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))))) |
(-.f32 (*.f32 n1_i (-.f32 u (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)))))) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u))))))) |
(* n1_i (+ u (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))) |
(*.f32 n1_i (-.f32 u (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)))))) |
(* n1_i (+ u (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i))))) |
(*.f32 n1_i (-.f32 (-.f32 u (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) n1_i))) |
(* n1_i (+ u (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i))))) |
(*.f32 n1_i (-.f32 (-.f32 u (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) n1_i))) |
(* n1_i (+ u (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i))))) |
(*.f32 n1_i (-.f32 (-.f32 u (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) n1_i))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2))))))))) |
(*.f32 (neg.f32 n1_i) (neg.f32 (+.f32 u (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (-.f32 (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) n1_i) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u))))) u)) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (-.f32 (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) n1_i) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u))))) u)) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (-.f32 (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) n1_i) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u))))) u)) |
(+ (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3))))) (* n1_i u)) |
(-.f32 (*.f32 u n1_i) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) |
(+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) (+ (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3))))) (* n1_i u))) |
(-.f32 (-.f32 (*.f32 u n1_i) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))))) |
(+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) (+ (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3))))) (* n1_i u))) |
(-.f32 (-.f32 (*.f32 u n1_i) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))))) |
(+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) (+ (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3))))) (* n1_i u))) |
(-.f32 (-.f32 (*.f32 u n1_i) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) |
(*.f32 (neg.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u)))) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (-.f32 (/.f32 (*.f32 u n1_i) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (*.f32 normAngle normAngle))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (-.f32 (/.f32 (*.f32 u n1_i) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (*.f32 normAngle normAngle))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (-.f32 (/.f32 (*.f32 u n1_i) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (*.f32 normAngle normAngle))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) |
(*.f32 (neg.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u)))) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (-.f32 (/.f32 (*.f32 u n1_i) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (*.f32 normAngle normAngle))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (-.f32 (/.f32 (*.f32 u n1_i) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (*.f32 normAngle normAngle))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (+ (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (-.f32 (/.f32 (*.f32 u n1_i) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (*.f32 normAngle normAngle))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))))) |
(+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u)) |
(-.f32 (*.f32 u n1_i) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u))))) |
(+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u))) |
(-.f32 (-.f32 (*.f32 u n1_i) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u))))) (*.f32 (*.f32 n0_i (*.f32 u (*.f32 u u))) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))))))) |
(+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u))) |
(-.f32 (-.f32 (*.f32 u n1_i) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u))))) (*.f32 (*.f32 n0_i (*.f32 u (*.f32 u u))) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))))))) |
(+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u))) |
(-.f32 (-.f32 (*.f32 u n1_i) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u))))) (*.f32 (*.f32 n0_i (*.f32 u (*.f32 u u))) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))))))) |
(* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) |
(*.f32 (neg.f32 (*.f32 n0_i (*.f32 u (*.f32 u u)))) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (+ (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (/ (* n1_i u) n0_i)))) |
(*.f32 n0_i (-.f32 (-.f32 (/.f32 (*.f32 u n1_i) n0_i) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u)))) n0_i)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))))))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (+ (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (/ (* n1_i u) n0_i)))) |
(*.f32 n0_i (-.f32 (-.f32 (/.f32 (*.f32 u n1_i) n0_i) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u)))) n0_i)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))))))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (+ (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (/ (* n1_i u) n0_i)))) |
(*.f32 n0_i (-.f32 (-.f32 (/.f32 (*.f32 u n1_i) n0_i) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u)))) n0_i)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))))))) |
(* n0_i (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) |
(*.f32 (*.f32 n0_i (*.f32 u (*.f32 u u))) (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (*.f32 u u)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) u)))) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u)) n0_i))))) |
(*.f32 (-.f32 (*.f32 (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (*.f32 u u)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) u))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) (/.f32 (-.f32 (*.f32 u n1_i) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u))))) n0_i)) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u)) n0_i))))) |
(*.f32 (-.f32 (*.f32 (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (*.f32 u u)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) u))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) (/.f32 (-.f32 (*.f32 u n1_i) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u))))) n0_i)) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u)) n0_i))))) |
(*.f32 (-.f32 (*.f32 (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (*.f32 u u)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) u))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) (/.f32 (-.f32 (*.f32 u n1_i) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u))))) n0_i)) (neg.f32 n0_i)) |
(* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3))))) |
(*.f32 (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u)))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))))) |
(-.f32 (*.f32 (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u)))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))))) |
(+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))))) |
(-.f32 (*.f32 (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u)))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))))) |
(+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) (* -1 (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))))) |
(-.f32 (*.f32 (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u)))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) |
(*.f32 (neg.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u)))) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (*.f32 normAngle normAngle))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))))) |
(*.f32 (neg.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u)))) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u))))) (* -1 (/ (* (pow u 3) (- (/ n0_i (pow u 2)) (/ n0_i (pow u 3)))) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (neg.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (*.f32 normAngle normAngle))))) |
(* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))))) |
(*.f32 (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(+ (* -1 (* n1_i (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))))) |
(-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) (*.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))))) |
(+ (* -1 (* n1_i (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))))) |
(-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) (*.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))))) |
(+ (* -1 (* n1_i (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))))) |
(-.f32 (*.f32 (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) (*.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))))) |
(* -1 (* n1_i (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(*.f32 n1_i (*.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))) |
(* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i)))) |
(*.f32 n1_i (-.f32 (*.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) n1_i))) |
(* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i)))) |
(*.f32 n1_i (-.f32 (*.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) n1_i))) |
(* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i)))) |
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(* n1_i (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(*.f32 n1_i (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u))))) |
(* -1 (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i)))) |
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(* -1 (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i)))) |
(*.f32 (neg.f32 n1_i) (-.f32 (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) n1_i) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u)))))) |
(* -1 (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))) n1_i)))) |
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(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u))))) |
(+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(-.f32 (neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u))))) (*.f32 (*.f32 n0_i (*.f32 u (*.f32 u u))) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))))))) |
(+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(-.f32 (neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u))))) (*.f32 (*.f32 n0_i (*.f32 u (*.f32 u u))) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))))))) |
(+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(-.f32 (neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u))))) (*.f32 (*.f32 n0_i (*.f32 u (*.f32 u u))) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))))))) |
(* -1 (* n0_i (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))))))) |
(*.f32 (neg.f32 (*.f32 n0_i (*.f32 u (*.f32 u u)))) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))) |
(*.f32 n0_i (neg.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u)))) n0_i)))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))) |
(*.f32 n0_i (neg.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u)))) n0_i)))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (+ (* -1/6 (pow normAngle 2)) (/ 1 (pow u 2)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3)))))) (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))) |
(*.f32 n0_i (neg.f32 (+.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u)))) n0_i)))) |
(* n0_i (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) |
(*.f32 (*.f32 n0_i (*.f32 u (*.f32 u u))) (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (*.f32 u u)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) u)))) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))) |
(*.f32 (-.f32 (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u)))) n0_i) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (*.f32 u u)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) u))))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))) |
(*.f32 (-.f32 (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u)))) n0_i) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (*.f32 u u)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) u))))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))))) (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))) |
(*.f32 (-.f32 (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (/.f32 #s(literal -1/6 binary32) u) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) u)))) n0_i) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (*.f32 u u)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) u))))) (neg.f32 n0_i)) |
n0_i |
(+ n0_i (* -1 (* u (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))) |
(-.f32 n0_i (*.f32 u (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))))) |
(+ n0_i (* u (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))) (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))))))) |
(+ n0_i (* u (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* u (+ (* -1 (* (pow normAngle 2) (* u (+ (* -1/6 n0_i) (* 1/6 n1_i))))) (* -1/2 (* n0_i (pow normAngle 2)))))))) |
(+.f32 n0_i (*.f32 u (-.f32 (*.f32 u (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i)))))) (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(*.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1 binary32) (*.f32 normAngle normAngle))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (* -1/2 (/ (* n0_i (pow normAngle 2)) u)))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i))))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (* -1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) (*.f32 u u))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i))))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u)))) (/.f32 (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) (*.f32 u u))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(*.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1 binary32) (*.f32 normAngle normAngle))) |
(* -1 (* (pow u 3) (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i)))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
(- (/ n0_i (pow u 2)) (/ n0_i (pow u 3))) |
(-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u)))) |
(- (+ (* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))) (/ n0_i (pow u 2))) (/ n0_i (pow u 3))) |
(+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))) |
(- (+ (* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))) (/ n0_i (pow u 2))) (/ n0_i (pow u 3))) |
(+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))) |
(- (+ (* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))) (/ n0_i (pow u 2))) (/ n0_i (pow u 3))) |
(+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u))) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u u)))) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u))))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u))) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u u)))) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u))))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u))) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u u)))) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u))))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (* 1/6 n1_i)))) (* -1/2 (/ n0_i u)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) n0_i)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u))) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u u)))) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u))))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u))) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u u)))) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u))))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 n0_i) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (+ (* 1/6 n1_i) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u))) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u u)))) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u))))))) |
(- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))) |
(-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u))))) |
(- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (+.f32 (+.f32 (/.f32 n0_i (*.f32 u u)) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (*.f32 n1_i (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) |
(- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (+.f32 (+.f32 (/.f32 n0_i (*.f32 u u)) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (*.f32 n1_i (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) |
(- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* n1_i (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (+.f32 (+.f32 (/.f32 n0_i (*.f32 u u)) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (*.f32 n1_i (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) |
(* n1_i (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) |
(*.f32 n1_i (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)))) |
(* n1_i (- (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (/ n0_i (* n1_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (* n1_i (pow u 2))))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (/ n0_i (* n1_i (pow u 3)))))) |
(*.f32 n1_i (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) n1_i)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))) (+.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 n0_i (*.f32 n1_i (*.f32 u u)))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i (*.f32 u u))))) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (*.f32 u n1_i)) (/.f32 n0_i (*.f32 n1_i (*.f32 u (*.f32 u u))))))) |
(* n1_i (- (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (/ n0_i (* n1_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (* n1_i (pow u 2))))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (/ n0_i (* n1_i (pow u 3)))))) |
(*.f32 n1_i (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) n1_i)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))) (+.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 n0_i (*.f32 n1_i (*.f32 u u)))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i (*.f32 u u))))) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (*.f32 u n1_i)) (/.f32 n0_i (*.f32 n1_i (*.f32 u (*.f32 u u))))))) |
(* n1_i (- (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (+ (* 1/6 (pow normAngle 2)) (+ (/ n0_i (* n1_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (* n1_i (pow u 2))))))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (/ n0_i (* n1_i (pow u 3)))))) |
(*.f32 n1_i (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) n1_i)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))) (+.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 n0_i (*.f32 n1_i (*.f32 u u)))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i (*.f32 u u))))) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (*.f32 u n1_i)) (/.f32 n0_i (*.f32 n1_i (*.f32 u (*.f32 u u))))))) |
(* -1 (* n1_i (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(*.f32 n1_i (neg.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u))))) |
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(/ (- (* u (+ n0_i (+ (* 1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i) (pow u 3)) |
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(/ (- (* u (+ n0_i (+ (* u (- (* (pow normAngle 2) (* u (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (* -1/2 (* n0_i (pow normAngle 2))))) (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i) (pow u 3)) |
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(- (+ (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (pow u 2)))) (* -1/2 (/ (* n0_i (pow normAngle 2)) u))) |
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(+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* n0_i (- (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))) |
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(+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* n0_i (- (+ (* -1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 3))) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))) |
(+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 u u)) (*.f32 n0_i (+.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (*.f32 u u))) (/.f32 #s(literal -1 binary32) (*.f32 u u))))) |
(/ (* n0_i (- (+ (* -1/2 (pow normAngle 2)) (/ 1 (pow u 2))) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u)))) u) |
(/.f32 (*.f32 n0_i (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) u) (/.f32 #s(literal 1 binary32) u)))) u) |
(* n0_i (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ 1 (pow u 3)))) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(*.f32 n0_i (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (*.f32 u u) n0_i))) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(* n0_i (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ 1 (pow u 3)))) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(*.f32 n0_i (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (*.f32 u u) n0_i))) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(* n0_i (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ 1 (pow u 3)))) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(*.f32 n0_i (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (*.f32 u u) n0_i))) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(* -1 (/ (* n0_i (- (+ (* 1/2 (pow normAngle 2)) (/ 1 u)) (+ (* 1/3 (/ (pow normAngle 2) u)) (/ 1 (pow u 2))))) u)) |
(/.f32 (*.f32 n0_i (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) u))))) (neg.f32 u)) |
(* -1 (* n0_i (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))))) |
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (*.f32 u u) n0_i)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) u)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (*.f32 u u))))) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))))) |
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (*.f32 u u) n0_i)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) u)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (*.f32 u u))))) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/2 (/ (pow normAngle 2) u)) (/ 1 (pow u 2)))) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3)))))) |
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 (*.f32 u u) n0_i)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) u)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (*.f32 u u))))) (neg.f32 n0_i)) |
(/ (- (/ n0_i (pow u 2)) (/ n0_i u)) u) |
(/.f32 (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i u)) u) |
(- (+ (* (pow normAngle 2) (- (* -1/2 (/ n0_i u)) (+ (* -1/2 (/ n0_i (pow u 2))) (* -1/6 (/ (- n1_i n0_i) (pow u 2)))))) (/ n0_i (pow u 3))) (/ n0_i (pow u 2))) |
(+.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i (*.f32 u u)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (-.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (/.f32 n0_i (*.f32 u u)))) |
(- (+ (* (pow normAngle 2) (- (* -1/2 (/ n0_i u)) (+ (* -1/2 (/ n0_i (pow u 2))) (* -1/6 (/ (- n1_i n0_i) (pow u 2)))))) (/ n0_i (pow u 3))) (/ n0_i (pow u 2))) |
(+.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i (*.f32 u u)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (-.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (/.f32 n0_i (*.f32 u u)))) |
(- (+ (* (pow normAngle 2) (- (* -1/2 (/ n0_i u)) (+ (* -1/2 (/ n0_i (pow u 2))) (* -1/6 (/ (- n1_i n0_i) (pow u 2)))))) (/ n0_i (pow u 3))) (/ n0_i (pow u 2))) |
(+.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i (*.f32 u u)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)))) (-.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (/.f32 n0_i (*.f32 u u)))) |
(/ (* (pow normAngle 2) (- (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))) u) |
(/.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u))) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))) u) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))) (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (-.f32 (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u))) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u u)))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))) (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (-.f32 (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u))) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u u)))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))) (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (-.f32 (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u))) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u u)))))) |
(/ (* (pow normAngle 2) (- (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))) u) |
(/.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u))) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))) u) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))) (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (-.f32 (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u))) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u u)))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))) (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (-.f32 (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u))) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u u)))))) |
(* (pow normAngle 2) (- (+ (* -1/2 (/ n0_i u)) (/ n0_i (* (pow normAngle 2) (pow u 3)))) (+ (* -1/2 (/ n0_i (pow u 2))) (+ (* -1/6 (/ (- n1_i n0_i) (pow u 2))) (/ n0_i (* (pow normAngle 2) (pow u 2))))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u) (-.f32 (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 u u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 u u))) (/.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u u)))))) |
(/ n0_i (pow u 3)) |
(/.f32 n0_i (*.f32 u (*.f32 u u))) |
(/ (+ n0_i (* -1 (* u (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))) (pow u 3)) |
(/.f32 (-.f32 n0_i (*.f32 u (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))))) (*.f32 u (*.f32 u u))) |
(/ (+ n0_i (* u (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) (pow u 3)) |
(/.f32 (+.f32 n0_i (*.f32 u (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))) (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))))))) (*.f32 u (*.f32 u u))) |
(/ (+ n0_i (* u (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) (pow u 3)) |
(/.f32 (+.f32 n0_i (*.f32 u (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))) (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))))))) (*.f32 u (*.f32 u u))) |
(* -1/2 (/ (* n0_i (pow normAngle 2)) u)) |
(*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) |
(/ (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u) |
(/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u) |
(/ (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) u)) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n0_i (pow u 2)))) u) |
(/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (/.f32 (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u) |
(/ (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) u)) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n0_i (pow u 2)))) u) |
(/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i (*.f32 u u))) (/.f32 (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u) |
(* -1/2 (/ (* n0_i (pow normAngle 2)) u)) |
(*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) |
(* -1 (/ (+ (* 1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) u))) u)) |
(/.f32 (+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n0_i u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) u)) (neg.f32 u)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (/ n0_i u)) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) |
(neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 (-.f32 (/.f32 n0_i u) (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))))) u)) u)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (/ n0_i u)) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) |
(neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 (-.f32 (/.f32 n0_i u) (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))))) u)) u)) |
(/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n0_i (pow u 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) u) |
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (-.f32 (/.f32 n0_i (*.f32 u u)) (+.f32 (/.f32 n0_i u) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))))) u) |
(- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) |
(-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (+.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 u u)))) (+.f32 (/.f32 n0_i (*.f32 u u)) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u)))) |
(- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) |
(-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (+.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 u u)))) (+.f32 (/.f32 n0_i (*.f32 u u)) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u)))) |
(- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) |
(-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (+.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 u u)))) (+.f32 (/.f32 n0_i (*.f32 u u)) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u)))) |
(* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) |
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 u u)) |
(* n1_i (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ n0_i (* n1_i (pow u 3))))) (+ (/ n0_i (* n1_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (* n1_i (pow u 2)))))) |
(*.f32 n1_i (-.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (*.f32 u n1_i)) (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u)) (/.f32 n0_i (*.f32 n1_i (*.f32 u (*.f32 u u)))))) (+.f32 (/.f32 n0_i (*.f32 n1_i (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i (*.f32 u u)))))) |
(* n1_i (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ n0_i (* n1_i (pow u 3))))) (+ (/ n0_i (* n1_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (* n1_i (pow u 2)))))) |
(*.f32 n1_i (-.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (*.f32 u n1_i)) (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u)) (/.f32 n0_i (*.f32 n1_i (*.f32 u (*.f32 u u)))))) (+.f32 (/.f32 n0_i (*.f32 n1_i (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i (*.f32 u u)))))) |
(* n1_i (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ n0_i (* n1_i (pow u 3))))) (+ (/ n0_i (* n1_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (* n1_i (pow u 2)))))) |
(*.f32 n1_i (-.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (*.f32 u n1_i)) (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u)) (/.f32 n0_i (*.f32 n1_i (*.f32 u (*.f32 u u)))))) (+.f32 (/.f32 n0_i (*.f32 n1_i (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 n1_i (*.f32 u u)))))) |
(* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) |
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 u u)) |
(* -1 (* n1_i (+ (* -1 (/ (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) n1_i)) (* -1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (-.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (+.f32 (/.f32 n0_i (*.f32 u u)) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))))) n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) n1_i)) (* -1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (-.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (+.f32 (/.f32 n0_i (*.f32 u u)) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))))) n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))) n1_i)) (* -1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (/.f32 (*.f32 normAngle normAngle) u))) (-.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (+.f32 (/.f32 n0_i (*.f32 u u)) (*.f32 (/.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))))) n1_i))) |
(/ (* n1_i u) (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(/.f32 (*.f32 u n1_i) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) (/ n1_i (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))) |
(*.f32 u (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) (/.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) (* 1/120 (/ (* n1_i (* (pow normAngle 4) (pow u 2))) (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))) (/ n1_i (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))) |
(*.f32 u (+.f32 (/.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) (*.f32 (*.f32 u u) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))) (*.f32 u u))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 6) (pow u 2))) (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) (* 1/120 (/ (* n1_i (pow normAngle 4)) (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))) (/ n1_i (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))) |
(*.f32 u (+.f32 (/.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) (*.f32 (*.f32 u u) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) (*.f32 (*.f32 u u) (+.f32 (/.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (*.f32 (*.f32 u u) (pow.f32 normAngle #s(literal 6 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(* n1_i u) |
(*.f32 u n1_i) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (*.f32 u n1_i))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (*.f32 u u)))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (*.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (*.f32 u n1_i))))) (*.f32 #s(literal -1/120 binary32) (*.f32 u n1_i))))) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (*.f32 u u)))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (-.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (+.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (+.f32 (*.f32 (*.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (*.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (*.f32 u n1_i))))) (*.f32 #s(literal -1/120 binary32) (*.f32 u n1_i)))) (+.f32 (*.f32 (*.f32 u n1_i) #s(literal -1/5040 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (*.f32 u n1_i)))))))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (*.f32 u n1_i)))) (*.f32 (*.f32 u n1_i) #s(literal 1/120 binary32)))))) (*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i)))))) |
(* -5040 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 7))) |
(/.f32 (*.f32 (*.f32 n1_i #s(literal -5040 binary32)) (sin.f32 (*.f32 u normAngle))) (pow.f32 normAngle #s(literal 7 binary32))) |
(/ (+ (* -211680 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 2))) (* -5040 (* n1_i (sin (* normAngle u))))) (pow normAngle 7)) |
(/.f32 (+.f32 (*.f32 (*.f32 n1_i #s(literal -5040 binary32)) (sin.f32 (*.f32 u normAngle))) (/.f32 (*.f32 #s(literal -211680 binary32) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (*.f32 normAngle normAngle))) (pow.f32 normAngle #s(literal 7 binary32))) |
(/ (- (+ (* -5040 (* n1_i (sin (* normAngle u)))) (* -1 (/ (+ (* -4233600 (* n1_i (sin (* normAngle u)))) (* 8890560 (* n1_i (sin (* normAngle u))))) (pow normAngle 4)))) (* 211680 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 2)))) (pow normAngle 7)) |
(/.f32 (+.f32 (-.f32 (*.f32 (*.f32 n1_i #s(literal -5040 binary32)) (sin.f32 (*.f32 u normAngle))) (/.f32 (*.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 4656960 binary32)) (pow.f32 normAngle #s(literal 4 binary32)))) (/.f32 (*.f32 #s(literal -211680 binary32) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (*.f32 normAngle normAngle))) (pow.f32 normAngle #s(literal 7 binary32))) |
(/ (- (+ (* -5040 (* n1_i (sin (* normAngle u)))) (* -1 (/ (+ (* -177811200 (* n1_i (sin (* normAngle u)))) (+ (* 42 (+ (* -4233600 (* n1_i (sin (* normAngle u)))) (* 8890560 (* n1_i (sin (* normAngle u)))))) (* 25401600 (* n1_i (sin (* normAngle u)))))) (pow normAngle 6)))) (+ (* -4233600 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4))) (+ (* 211680 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 2))) (* 8890560 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4)))))) (pow normAngle 7)) |
(/.f32 (-.f32 (-.f32 (*.f32 (*.f32 n1_i #s(literal -5040 binary32)) (sin.f32 (*.f32 u normAngle))) (/.f32 (+.f32 (*.f32 (*.f32 n1_i #s(literal -177811200 binary32)) (sin.f32 (*.f32 u normAngle))) (+.f32 (*.f32 (*.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 4656960 binary32)) #s(literal 42 binary32)) (*.f32 (*.f32 n1_i #s(literal 25401600 binary32)) (sin.f32 (*.f32 u normAngle))))) (pow.f32 normAngle #s(literal 6 binary32)))) (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -4233600 binary32)) (sin.f32 (*.f32 u normAngle))) (pow.f32 normAngle #s(literal 4 binary32))) (+.f32 (/.f32 (*.f32 #s(literal 211680 binary32) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 n1_i #s(literal 8890560 binary32)) (sin.f32 (*.f32 u normAngle))) (pow.f32 normAngle #s(literal 4 binary32)))))) (pow.f32 normAngle #s(literal 7 binary32))) |
(* -5040 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 7))) |
(/.f32 (*.f32 (*.f32 n1_i #s(literal -5040 binary32)) (sin.f32 (*.f32 u normAngle))) (pow.f32 normAngle #s(literal 7 binary32))) |
(* -1 (/ (+ (* 5040 (* n1_i (sin (* normAngle u)))) (* 211680 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 2)))) (pow normAngle 7))) |
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 211680 binary32) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (*.f32 normAngle normAngle)) (*.f32 (*.f32 n1_i #s(literal 5040 binary32)) (sin.f32 (*.f32 u normAngle)))) (neg.f32 (pow.f32 normAngle #s(literal 7 binary32)))) |
(* -1 (/ (+ (* -4233600 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4))) (+ (* 5040 (* n1_i (sin (* normAngle u)))) (+ (* 211680 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 2))) (* 8890560 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4)))))) (pow normAngle 7))) |
(/.f32 (+.f32 (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -4233600 binary32)) (sin.f32 (*.f32 u normAngle))) (pow.f32 normAngle #s(literal 4 binary32))) (*.f32 (*.f32 n1_i #s(literal 5040 binary32)) (sin.f32 (*.f32 u normAngle)))) (+.f32 (/.f32 (*.f32 #s(literal 211680 binary32) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 n1_i #s(literal 8890560 binary32)) (sin.f32 (*.f32 u normAngle))) (pow.f32 normAngle #s(literal 4 binary32))))) (neg.f32 (pow.f32 normAngle #s(literal 7 binary32)))) |
(* -1 (/ (+ (* -177811200 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 6))) (+ (* -4233600 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4))) (+ (* 42 (/ (+ (* -4233600 (* n1_i (sin (* normAngle u)))) (* 8890560 (* n1_i (sin (* normAngle u))))) (pow normAngle 6))) (+ (* 5040 (* n1_i (sin (* normAngle u)))) (+ (* 211680 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 2))) (+ (* 8890560 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 4))) (* 25401600 (/ (* n1_i (sin (* normAngle u))) (pow normAngle 6))))))))) (pow normAngle 7))) |
(neg.f32 (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -177811200 binary32)) (sin.f32 (*.f32 u normAngle))) (pow.f32 normAngle #s(literal 6 binary32))) (/.f32 (*.f32 (*.f32 n1_i #s(literal -4233600 binary32)) (sin.f32 (*.f32 u normAngle))) (pow.f32 normAngle #s(literal 4 binary32)))) (+.f32 (*.f32 #s(literal 42 binary32) (/.f32 (*.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) #s(literal 4656960 binary32)) (pow.f32 normAngle #s(literal 6 binary32)))) (+.f32 (*.f32 (*.f32 n1_i #s(literal 5040 binary32)) (sin.f32 (*.f32 u normAngle))) (+.f32 (/.f32 (*.f32 #s(literal 211680 binary32) (*.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (*.f32 normAngle normAngle)) (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal 8890560 binary32)) (sin.f32 (*.f32 u normAngle))) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 n1_i #s(literal 25401600 binary32)) (sin.f32 (*.f32 u normAngle))) (pow.f32 normAngle #s(literal 6 binary32)))))))) (pow.f32 normAngle #s(literal 7 binary32)))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 (*.f32 n1_i (sin.f32 (*.f32 u normAngle))) normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(* normAngle u) |
(*.f32 u normAngle) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(*.f32 u (+.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u)))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(*.f32 u (+.f32 normAngle (*.f32 (*.f32 u u) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 u u) (pow.f32 normAngle #s(literal 5 binary32)))))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(*.f32 u (+.f32 normAngle (*.f32 (*.f32 u u) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 u u) (+.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u u)) (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))))))))) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(*.f32 normAngle (+.f32 u (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(*.f32 normAngle (+.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(*.f32 normAngle (+.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) (pow.f32 u #s(literal 7 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))))))))) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(* normAngle u) |
(*.f32 u normAngle) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 n1_i normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 n1_i normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 n1_i normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 n1_i normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 n1_i normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 n1_i normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 n1_i normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 n1_i normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 n1_i normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 n1_i normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 n1_i normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ n1_i (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))) |
(/.f32 (/.f32 n1_i normAngle) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(/ n1_i normAngle) |
(/.f32 n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/.f32 (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))) normAngle) |
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(/.f32 (+.f32 n1_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))))) normAngle) |
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(*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 6 binary32))) |
(* (pow normAngle 6) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040)) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal -1/5040 binary32))) |
(* (pow normAngle 6) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4))))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal -1/5040 binary32)) (/.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 4 binary32))))) |
(* (pow normAngle 6) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4))))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal -1/5040 binary32)) (/.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 4 binary32))))) |
(* -1/5040 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) |
(* -1/5040 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) |
(* -1/5040 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) |
(* -1/5040 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) |
(* -1/5040 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) |
(* -1/5040 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) |
(* -1/5040 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) |
(* -1/5040 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) |
(* -1/5040 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) |
(* -1/5040 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) |
(* -1/5040 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) |
(* -1/5040 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) |
Compiled 67640 to 3631 computations (94.6% saved)
33 alts after pruning (30 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1371 | 18 | 1389 |
| Fresh | 8 | 12 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1382 | 33 | 1415 |
| Status | Accuracy | Program |
|---|---|---|
| 75.1% | (/.f32 (+.f32 (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle)) n0_i) (*.f32 (*.f32 u (+.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u)))) n1_i)) (sin.f32 normAngle)) | |
| 74.7% | (/.f32 (+.f32 (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle)) n0_i) (*.f32 (*.f32 u normAngle) n1_i)) (sin.f32 normAngle)) | |
| 74.6% | (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 u (*.f32 normAngle n1_i))) (sin.f32 normAngle)) | |
| 37.1% | (/.f32 (*.f32 u n1_i) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) | |
| 72.8% | (/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))) (sin.f32 normAngle)) | |
| 97.0% | (-.f32 (*.f32 u n1_i) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) | |
| 97.2% | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i)) | |
| 96.6% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32))))))) n0_i) (*.f32 u n1_i)) | |
| 98.4% | (+.f32 (*.f32 u n1_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 98.4% | (+.f32 (*.f32 u n1_i) (+.f32 n0_i (*.f32 u (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i)))) | |
| ▶ | 92.7% | (+.f32 (*.f32 u n1_i) (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle))) (/.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) u) (/.f32 u (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))))))) (*.f32 u (+.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) u))))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))) |
| 80.2% | (+.f32 (*.f32 u n1_i) n0_i) | |
| 98.3% | (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (+.f32 u (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))))) | |
| 87.4% | (+.f32 n0_i (/.f32 (*.f32 (-.f32 (*.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))))) (*.f32 u (*.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32)))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle)))))) u) (+.f32 (-.f32 n1_i n0_i) (-.f32 (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle))))))) | |
| 98.3% | (+.f32 n0_i (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (-.f32 n1_i n0_i)) (/.f32 (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n1_i u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) u)) (/.f32 n0_i u)) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))) | |
| 81.2% | (+.f32 n0_i (*.f32 (*.f32 u n1_i) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))))) | |
| 62.6% | (+.f32 n0_i (*.f32 (*.f32 u n0_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))))) | |
| 97.5% | (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) | |
| ▶ | 98.7% | (+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))))) |
| 98.4% | (+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) | |
| ▶ | 81.2% | (+.f32 n0_i (*.f32 u (*.f32 n1_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))))))) |
| 98.1% | (*.f32 (-.f32 (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) (neg.f32 n0_i)) | |
| 36.3% | (*.f32 (*.f32 u (+.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u)))) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))) | |
| 36.4% | (*.f32 (*.f32 u (+.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u)))) (/.f32 n1_i (sin.f32 normAngle))) | |
| 36.0% | (*.f32 (*.f32 u normAngle) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))) | |
| ✓ | 36.4% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))) |
| 36.2% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32))))))) | |
| 54.7% | (*.f32 (neg.f32 (*.f32 n0_i (*.f32 u (*.f32 u u)))) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))))) | |
| ✓ | 35.9% | (*.f32 u n1_i) |
| 36.8% | (*.f32 n1_i (+.f32 u (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))))) | |
| ▶ | 62.1% | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
| ▶ | 98.2% | (*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 (*.f32 u n1_i) n0_i)) u))) |
| ✓ | 48.6% | n0_i |
Compiled 2024 to 1111 computations (45.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 u n1_i) |
| ✓ | cost-diff | 32 | (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) |
| ✓ | cost-diff | 32 | (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle))) (/.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) u) (/.f32 u (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))))))) (*.f32 u (+.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) u))))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u)))) |
| ✓ | cost-diff | 64 | (+.f32 (*.f32 u n1_i) (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle))) (/.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) u) (/.f32 u (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))))))) (*.f32 u (+.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) u))))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))) |
| ✓ | cost-diff | 64 | (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 (*.f32 u n1_i) n0_i)) |
| ✓ | cost-diff | 64 | (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 (*.f32 u n1_i) n0_i)) u) |
| ✓ | cost-diff | 64 | (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 (*.f32 u n1_i) n0_i)) u)) |
| ✓ | cost-diff | 64 | (*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 (*.f32 u n1_i) n0_i)) u))) |
| ✓ | cost-diff | 128 | (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))) |
| ✓ | cost-diff | 128 | (*.f32 n1_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))))) |
| ✓ | cost-diff | 128 | (*.f32 u (*.f32 n1_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))))) |
| ✓ | cost-diff | 128 | (+.f32 n0_i (*.f32 u (*.f32 n1_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))))))) |
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) |
| ✓ | cost-diff | 0 | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
| ✓ | cost-diff | 0 | (-.f32 n1_i n0_i) |
| ✓ | cost-diff | 0 | (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) |
| ✓ | cost-diff | 0 | (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) |
| ✓ | cost-diff | 0 | (+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))))) |
| 4390× | *-lowering-*.f32 |
| 4390× | *-lowering-*.f64 |
| 2300× | +-lowering-+.f64 |
| 2300× | +-lowering-+.f32 |
| 1398× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 1006 |
| 1 | 257 | 967 |
| 2 | 1013 | 942 |
| 3 | 4907 | 830 |
| 0 | 8464 | 830 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ n0_i (* u (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))))) |
n0_i |
(* u (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3))))) |
u |
(+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) |
(- n1_i n0_i) |
n1_i |
(* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3))) |
(* normAngle normAngle) |
normAngle |
(+ (* n1_i 1/6) (* n0_i 1/3)) |
(* n1_i 1/6) |
1/6 |
(* n0_i 1/3) |
1/3 |
(* n0_i (- 1 u)) |
n0_i |
(- 1 u) |
1 |
u |
(+ n0_i (* u (* n1_i (+ 1 (+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6)))))) |
n0_i |
(* u (* n1_i (+ 1 (+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6))))) |
u |
(* n1_i (+ 1 (+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6)))) |
n1_i |
(+ 1 (+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6))) |
1 |
(+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6)) |
(* (* -1/6 (* normAngle normAngle)) (* u u)) |
(* -1/6 (* normAngle normAngle)) |
-1/6 |
(* normAngle normAngle) |
normAngle |
(* u u) |
(* (* normAngle normAngle) 1/6) |
1/6 |
(* n0_i (+ 1 (- (+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i)) u))) |
n0_i |
(+ 1 (- (+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i)) u)) |
1 |
(- (+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i)) u) |
(+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i)) |
(/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) |
(* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) |
(* n1_i -1/6) |
n1_i |
-1/6 |
(* (* normAngle normAngle) (* u (+ (* u u) -1))) |
(* normAngle normAngle) |
normAngle |
(* u (+ (* u u) -1)) |
u |
(+ (* u u) -1) |
(* u u) |
-1 |
(/ (* u n1_i) n0_i) |
(* u n1_i) |
(+ (* u n1_i) (* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) (* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u))))) (* -1 (* u (* u u))))) |
(* u n1_i) |
u |
n1_i |
(* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) (* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u))))) (* -1 (* u (* u u)))) |
(- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) (* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u))))) |
(* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) |
(* normAngle normAngle) |
normAngle |
(+ (* n1_i 1/6) (* n0_i -1/6)) |
(* n1_i 1/6) |
1/6 |
(* n0_i -1/6) |
n0_i |
-1/6 |
(/ (- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) (* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u)))) |
(- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) |
(* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) |
(* (* n0_i n0_i) 1/4) |
(* n0_i n0_i) |
1/4 |
(* (* normAngle normAngle) (* normAngle normAngle)) |
(/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))))) |
(/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) |
(+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) |
(- n0_i (/ n0_i u)) |
(/ n0_i u) |
(* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))) |
(* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))) |
(+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)) |
(* (- n1_i n0_i) -1/6) |
(- n1_i n0_i) |
(* n0_i -1/2) |
-1/2 |
(/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))) |
(* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u))) |
(+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u)) |
(* n0_i (* (* normAngle normAngle) -1/2)) |
(* (* normAngle normAngle) -1/2) |
(* -1 (* u (* u u))) |
-1 |
(* u (* u u)) |
(* u u) |
| Outputs |
|---|
(+ n0_i (* u (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))))) |
(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)))) |
n0_i |
(* u (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3))))) |
(*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i))) |
u |
(+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) |
(+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
n1_i |
(* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(+ (* n1_i 1/6) (* n0_i 1/3)) |
(+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) |
(* n1_i 1/6) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
1/6 |
#s(literal 1/6 binary32) |
(* n0_i 1/3) |
(*.f32 n0_i #s(literal 1/3 binary32)) |
1/3 |
#s(literal 1/3 binary32) |
(* 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 (* u (* n1_i (+ 1 (+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6)))))) |
(+.f32 n0_i (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u u)) #s(literal 1/6 binary32)))) (*.f32 u n1_i))) |
n0_i |
(* u (* n1_i (+ 1 (+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u u)) #s(literal 1/6 binary32)))) (*.f32 u n1_i)) |
u |
(* n1_i (+ 1 (+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6)))) |
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u u)) #s(literal 1/6 binary32))))) |
n1_i |
(+ 1 (+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u u)) #s(literal 1/6 binary32)))) |
1 |
#s(literal 1 binary32) |
(+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6)) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 u u)) #s(literal 1/6 binary32))) |
(* (* -1/6 (* normAngle normAngle)) (* u u)) |
(*.f32 u (*.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))) |
(* -1/6 (* normAngle normAngle)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
-1/6 |
#s(literal -1/6 binary32) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(* u u) |
(*.f32 u u) |
(* (* normAngle normAngle) 1/6) |
(*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) |
1/6 |
#s(literal 1/6 binary32) |
(* n0_i (+ 1 (- (+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i)) u))) |
(*.f32 n0_i (+.f32 (*.f32 n1_i (+.f32 (/.f32 (*.f32 normAngle (*.f32 (*.f32 normAngle (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) #s(literal -1/6 binary32))) n0_i) (/.f32 u n0_i))) (-.f32 #s(literal 1 binary32) u))) |
n0_i |
(+ 1 (- (+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i)) u)) |
(+.f32 (*.f32 n1_i (+.f32 (/.f32 (*.f32 normAngle (*.f32 (*.f32 normAngle (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) #s(literal -1/6 binary32))) n0_i) (/.f32 u n0_i))) (-.f32 #s(literal 1 binary32) u)) |
1 |
#s(literal 1 binary32) |
(- (+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i)) u) |
(-.f32 (*.f32 n1_i (+.f32 (/.f32 (*.f32 normAngle (*.f32 (*.f32 normAngle (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) #s(literal -1/6 binary32))) n0_i) (/.f32 u n0_i))) u) |
(+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i)) |
(*.f32 n1_i (+.f32 (/.f32 (*.f32 normAngle (*.f32 (*.f32 normAngle (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) #s(literal -1/6 binary32))) n0_i) (/.f32 u n0_i))) |
(/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) |
(/.f32 (*.f32 normAngle (*.f32 (*.f32 (*.f32 normAngle (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) #s(literal -1/6 binary32)) n1_i)) n0_i) |
(* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) |
(*.f32 normAngle (*.f32 (*.f32 (*.f32 normAngle (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) #s(literal -1/6 binary32)) n1_i)) |
(* n1_i -1/6) |
(*.f32 n1_i #s(literal -1/6 binary32)) |
n1_i |
-1/6 |
#s(literal -1/6 binary32) |
(* (* normAngle normAngle) (* u (+ (* u u) -1))) |
(*.f32 normAngle (*.f32 normAngle (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(* u (+ (* u u) -1)) |
(*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))) |
u |
(+ (* u u) -1) |
(+.f32 (*.f32 u u) #s(literal -1 binary32)) |
(* u u) |
(*.f32 u u) |
-1 |
#s(literal -1 binary32) |
(/ (* u n1_i) n0_i) |
(/.f32 (*.f32 u n1_i) n0_i) |
(* u n1_i) |
(*.f32 u n1_i) |
(+ (* u n1_i) (* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) (* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u))))) (* -1 (* u (* u u))))) |
(*.f32 u (+.f32 n1_i (*.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (/.f32 (*.f32 u u) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))))) (*.f32 #s(literal -1/4 binary32) (*.f32 n0_i (*.f32 normAngle (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) n0_i))))) (+.f32 (*.f32 n0_i (*.f32 u (*.f32 normAngle (*.f32 normAngle #s(literal -1/2 binary32))))) (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) #s(literal 1 binary32))))) (-.f32 #s(literal 0 binary32) (*.f32 u u))))) |
(* u n1_i) |
(*.f32 u n1_i) |
u |
n1_i |
(* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) (* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u))))) (* -1 (* u (* u u)))) |
(*.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (/.f32 (*.f32 u u) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))))) (*.f32 #s(literal -1/4 binary32) (*.f32 n0_i (*.f32 normAngle (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) n0_i))))) (+.f32 (*.f32 n0_i (*.f32 u (*.f32 normAngle (*.f32 normAngle #s(literal -1/2 binary32))))) (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) #s(literal 1 binary32))))) (neg.f32 (*.f32 u (*.f32 u u)))) |
(- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) (* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u))))) |
(+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (/.f32 (*.f32 u u) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))))) (*.f32 #s(literal -1/4 binary32) (*.f32 n0_i (*.f32 normAngle (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) n0_i))))) (+.f32 (*.f32 n0_i (*.f32 u (*.f32 normAngle (*.f32 normAngle #s(literal -1/2 binary32))))) (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) #s(literal 1 binary32))))) |
(* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) |
(* normAngle normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
(+ (* n1_i 1/6) (* n0_i -1/6)) |
(+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) |
(* n1_i 1/6) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
1/6 |
#s(literal 1/6 binary32) |
(* n0_i -1/6) |
(*.f32 n0_i #s(literal -1/6 binary32)) |
n0_i |
-1/6 |
#s(literal -1/6 binary32) |
(/ (- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) (* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u)))) |
(/.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (/.f32 (*.f32 u u) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))))) (+.f32 (*.f32 n0_i (*.f32 u (*.f32 normAngle (*.f32 normAngle #s(literal -1/2 binary32))))) (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) #s(literal 1 binary32)))) |
(- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) |
(-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (/.f32 (*.f32 u u) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))))) |
(* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))))) |
(* (* n0_i n0_i) 1/4) |
(*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32)) |
(* n0_i n0_i) |
(*.f32 n0_i n0_i) |
1/4 |
#s(literal 1/4 binary32) |
(* (* normAngle normAngle) (* normAngle normAngle)) |
(*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) |
(/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))))) |
(/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (/.f32 (*.f32 u u) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))))) |
(/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) |
(/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) |
(+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) |
(+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) |
(- n0_i (/ n0_i u)) |
(-.f32 n0_i (/.f32 n0_i u)) |
(/ n0_i u) |
(/.f32 n0_i u) |
(* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))) |
(* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))) |
(*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))) |
(+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)) |
(+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))) |
(* (- n1_i n0_i) -1/6) |
(*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(* n0_i -1/2) |
(*.f32 n0_i #s(literal -1/2 binary32)) |
-1/2 |
#s(literal -1/2 binary32) |
(/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))) |
(/.f32 u (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) |
(* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u))) |
(+.f32 (*.f32 n0_i (*.f32 u (*.f32 normAngle (*.f32 normAngle #s(literal -1/2 binary32))))) (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) #s(literal 1 binary32))) |
(+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u)) |
(+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 n0_i (*.f32 normAngle (*.f32 normAngle #s(literal -1/2 binary32))))) |
(* n0_i (* (* normAngle normAngle) -1/2)) |
(*.f32 n0_i (*.f32 normAngle (*.f32 normAngle #s(literal -1/2 binary32)))) |
(* (* normAngle normAngle) -1/2) |
(*.f32 normAngle (*.f32 normAngle #s(literal -1/2 binary32))) |
(* -1 (* u (* u u))) |
(neg.f32 (*.f32 u (*.f32 u u))) |
-1 |
#s(literal -1 binary32) |
(* u (* u u)) |
(*.f32 u (*.f32 u u)) |
(* u u) |
(*.f32 u u) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.0% | (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))) |
| ✓ | accuracy | 98.9% | (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) |
| ✓ | accuracy | 98.9% | (*.f32 n0_i #s(literal -1/6 binary32)) |
| ✓ | accuracy | 85.2% | (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle))) (/.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) u) (/.f32 u (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))))))) (*.f32 u (+.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) u)))) |
| ✓ | accuracy | 99.4% | (*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 (*.f32 u n1_i) n0_i)) u))) |
| ✓ | accuracy | 99.1% | (*.f32 n1_i #s(literal -1/6 binary32)) |
| ✓ | accuracy | 94.7% | (/.f32 (*.f32 u n1_i) n0_i) |
| ✓ | accuracy | 81.4% | (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) |
| ✓ | accuracy | 99.7% | (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))) |
| ✓ | accuracy | 99.6% | (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) |
| ✓ | accuracy | 99.4% | (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) |
| ✓ | accuracy | 99.4% | (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) |
| ✓ | accuracy | 100.0% | (-.f32 #s(literal 1 binary32) u) |
| ✓ | accuracy | 99.6% | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
| ✓ | accuracy | 99.7% | (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) |
| ✓ | accuracy | 99.5% | (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) |
| ✓ | accuracy | 99.1% | (*.f32 n1_i #s(literal 1/6 binary32)) |
| ✓ | accuracy | 98.9% | (*.f32 n0_i #s(literal 1/3 binary32)) |
| 196.0ms | 254× | 0 | valid |
| 3.0ms | 1× | 5 | exit |
| 1.0ms | 1× | 1 | valid |
Compiled 1192 to 73 computations (93.9% saved)
ival-mult: 60.0ms (53.8% of total)ival-add: 17.0ms (15.2% of total)ival-div: 12.0ms (10.8% of total)...c/correct-round.rkt:119:19: 12.0ms (10.8% of total)ival-sub: 8.0ms (7.2% of total)backward-pass: 1.0ms (0.9% of total)const: 1.0ms (0.9% of total)| Inputs |
|---|
#<alt (+ n0_i (* u (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3))))))> |
#<alt (* u (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))))> |
#<alt (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3))))> |
#<alt (- n1_i n0_i)> |
#<alt (* n0_i (- 1 u))> |
#<alt (- 1 u)> |
#<alt (+ n0_i (* u (* n1_i (+ 1 (+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6))))))> |
#<alt (* u (* n1_i (+ 1 (+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6)))))> |
#<alt (* n1_i (+ 1 (+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6))))> |
#<alt (+ 1 (+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6)))> |
#<alt (* n0_i (+ 1 (- (+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i)) u)))> |
#<alt (+ 1 (- (+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i)) u))> |
#<alt (- (+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i)) u)> |
#<alt (+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i))> |
#<alt (+ (* u n1_i) (* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) (* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u))))) (* -1 (* u (* u u)))))> |
#<alt (* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) (* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u))))) (* -1 (* u (* u u))))> |
#<alt (* -1 (* u (* u u)))> |
#<alt (* u n1_i)> |
#<alt (* n0_i 1/3)> |
#<alt (* n1_i 1/6)> |
#<alt (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))> |
#<alt (+ (* n1_i 1/6) (* n0_i 1/3))> |
#<alt (* -1/6 (* normAngle normAngle))> |
#<alt (* (* normAngle normAngle) 1/6)> |
#<alt (* (* -1/6 (* normAngle normAngle)) (* u u))> |
#<alt (+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6))> |
#<alt (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i)> |
#<alt (/ (* u n1_i) n0_i)> |
#<alt (* n1_i -1/6)> |
#<alt (/ (- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) (* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u))))> |
#<alt (* n0_i -1/6)> |
#<alt (* (- n1_i n0_i) -1/6)> |
#<alt (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))> |
| Outputs |
|---|
#<alt (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))> |
#<alt (+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))))> |
#<alt (+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))))> |
#<alt (+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))))> |
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i))))> |
#<alt (* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i))))> |
#<alt (* -1 (* n0_i (- (* u (+ 1 (* -1/3 (pow normAngle 2)))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))> |
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))> |
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))> |
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))> |
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))> |
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))> |
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))> |
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))> |
#<alt (* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) (* -1 (/ n0_i u)))))> |
#<alt (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))> |
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))> |
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))> |
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))> |
#<alt (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))> |
#<alt (* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))> |
#<alt (* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))> |
#<alt (* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))> |
#<alt (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))> |
#<alt (+ n0_i (* u (- n1_i n0_i)))> |
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))> |
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))> |
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))> |
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))> |
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))> |
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))> |
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))> |
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))> |
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))> |
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))> |
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))> |
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))> |
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))> |
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))> |
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))> |
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))> |
#<alt (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))> |
#<alt (+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))> |
#<alt (+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))> |
#<alt (+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))> |
#<alt (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))> |
#<alt (* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)))> |
#<alt (* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)))> |
#<alt (* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)))> |
#<alt (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))> |
#<alt (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))> |
#<alt (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))))> |
#<alt (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))))> |
#<alt (+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))))> |
#<alt (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))> |
#<alt (* n0_i (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))> |
#<alt (* n0_i (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))> |
#<alt (* n0_i (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))> |
#<alt (* -1 (* n0_i (* u (+ 1 (* -1/3 (pow normAngle 2))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2)))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2)))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2)))))))> |
#<alt (* u (- n1_i n0_i))> |
#<alt (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))> |
#<alt (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))> |
#<alt (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))> |
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))> |
#<alt (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)> |
#<alt (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i)> |
#<alt (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i)> |
#<alt (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i)> |
#<alt (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))> |
#<alt (* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) (/ n0_i n1_i)))> |
#<alt (* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) (/ n0_i n1_i)))> |
#<alt (* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) (/ n0_i n1_i)))> |
#<alt (* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))> |
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))> |
#<alt (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))> |
#<alt (+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))> |
#<alt (* n0_i (- (* 1/3 (pow normAngle 2)) 1))> |
#<alt (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1))> |
#<alt (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1))> |
#<alt (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1))> |
#<alt (* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2))))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2))))))> |
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2))))))> |
#<alt (- n1_i n0_i)> |
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)> |
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)> |
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)> |
#<alt (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ 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))))> |
#<alt (* n1_i (+ 1 (* -1 (/ n0_i n1_i))))> |
#<alt n1_i> |
#<alt (* -1 (* n1_i (- (/ n0_i n1_i) 1)))> |
#<alt (* -1 (* n1_i (- (/ n0_i n1_i) 1)))> |
#<alt (* -1 (* n1_i (- (/ n0_i n1_i) 1)))> |
#<alt n1_i> |
#<alt (+ n1_i (* -1 n0_i))> |
#<alt (+ n1_i (* -1 n0_i))> |
#<alt (+ n1_i (* -1 n0_i))> |
#<alt (* -1 n0_i)> |
#<alt (* n0_i (- (/ n1_i n0_i) 1))> |
#<alt (* n0_i (- (/ n1_i n0_i) 1))> |
#<alt (* n0_i (- (/ n1_i n0_i) 1))> |
#<alt (* -1 n0_i)> |
#<alt (* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))> |
#<alt (* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))> |
#<alt (* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- 1 u))> |
#<alt n0_i> |
#<alt (+ n0_i (* -1 (* n0_i u)))> |
#<alt (+ n0_i (* -1 (* n0_i u)))> |
#<alt (+ n0_i (* -1 (* n0_i u)))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))> |
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))> |
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))> |
#<alt (* -1 (* n0_i u))> |
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))> |
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 u))> |
#<alt (+ 1 (* -1 u))> |
#<alt (+ 1 (* -1 u))> |
#<alt (* -1 u)> |
#<alt (* u (- (/ 1 u) 1))> |
#<alt (* u (- (/ 1 u) 1))> |
#<alt (* u (- (/ 1 u) 1))> |
#<alt (* -1 u)> |
#<alt (* -1 (* u (- 1 (/ 1 u))))> |
#<alt (* -1 (* u (- 1 (/ 1 u))))> |
#<alt (* -1 (* u (- 1 (/ 1 u))))> |
#<alt (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
#<alt (+ n0_i (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))))> |
#<alt (+ n0_i (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))))> |
#<alt (+ n0_i (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))))> |
#<alt n0_i> |
#<alt (* n0_i (+ 1 (/ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) n0_i)))> |
#<alt (* n0_i (+ 1 (/ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) n0_i)))> |
#<alt (* n0_i (+ 1 (/ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) n0_i)))> |
#<alt n0_i> |
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) n0_i)) 1)))> |
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) n0_i)) 1)))> |
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) n0_i)) 1)))> |
#<alt n0_i> |
#<alt (+ n0_i (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))))> |
#<alt (+ n0_i (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))> |
#<alt (+ n0_i (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1 (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1 (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))> |
#<alt n0_i> |
#<alt (+ n0_i (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))))> |
#<alt (+ n0_i (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))))> |
#<alt (+ n0_i (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))))> |
#<alt (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
#<alt (* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (/ n0_i n1_i)))> |
#<alt (* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (/ n0_i n1_i)))> |
#<alt (* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (/ n0_i n1_i)))> |
#<alt (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* -1 (/ n0_i n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* -1 (/ n0_i n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* -1 (/ n0_i n1_i)))))> |
#<alt (+ n0_i (* n1_i u))> |
#<alt (+ n0_i (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))> |
#<alt (+ n0_i (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))> |
#<alt (+ n0_i (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))> |
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))> |
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))> |
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))> |
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))> |
#<alt (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
#<alt (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
#<alt (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
#<alt (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
#<alt (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
#<alt (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
#<alt (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
#<alt (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
#<alt (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
#<alt (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
#<alt (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
#<alt (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
#<alt (* n1_i u)> |
#<alt (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))> |
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))> |
#<alt (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))> |
#<alt (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))> |
#<alt (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))> |
#<alt (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))> |
#<alt (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))> |
#<alt (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))> |
#<alt (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))> |
#<alt (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))> |
#<alt (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))> |
#<alt (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))> |
#<alt (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))> |
#<alt (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))> |
#<alt n1_i> |
#<alt (+ n1_i (* n1_i (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2))))))> |
#<alt (+ n1_i (* n1_i (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2))))))> |
#<alt (+ n1_i (* n1_i (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2))))))> |
#<alt (* n1_i (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (+ 1/6 (* -1/6 (pow u 2)))) (/ n1_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (+ 1/6 (* -1/6 (pow u 2)))) (/ n1_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (+ 1/6 (* -1/6 (pow u 2)))) (/ n1_i (pow normAngle 2))))> |
#<alt (* n1_i (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (+ 1/6 (* -1/6 (pow u 2)))) (/ n1_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (+ 1/6 (* -1/6 (pow u 2)))) (/ n1_i (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* n1_i (+ 1/6 (* -1/6 (pow u 2)))) (/ n1_i (pow normAngle 2))))> |
#<alt (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2))))> |
#<alt (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))> |
#<alt (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))> |
#<alt (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2))))> |
#<alt (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))> |
#<alt (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))> |
#<alt (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))> |
#<alt 1> |
#<alt (+ 1 (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (+ 1 (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (+ 1 (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))))> |
#<alt (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2))))> |
#<alt (* (pow normAngle 2) (+ 1/6 (+ (* -1/6 (pow u 2)) (/ 1 (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ 1/6 (+ (* -1/6 (pow u 2)) (/ 1 (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ 1/6 (+ (* -1/6 (pow u 2)) (/ 1 (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2))))> |
#<alt (* (pow normAngle 2) (+ 1/6 (+ (* -1/6 (pow u 2)) (/ 1 (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ 1/6 (+ (* -1/6 (pow u 2)) (/ 1 (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ 1/6 (+ (* -1/6 (pow u 2)) (/ 1 (pow normAngle 2)))))> |
#<alt (+ 1 (* 1/6 (pow normAngle 2)))> |
#<alt (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))> |
#<alt (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))> |
#<alt (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))> |
#<alt (* -1/6 (* (pow normAngle 2) (pow u 2)))> |
#<alt (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))> |
#<alt (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))> |
#<alt (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))> |
#<alt (* -1/6 (* (pow normAngle 2) (pow u 2)))> |
#<alt (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))> |
#<alt (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))> |
#<alt (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u)))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u)))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u)))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u))> |
#<alt (* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u))> |
#<alt (* n0_i (- 1 u))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (* n1_i u) n0_i)) (* 1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (* n1_i u) n0_i)) (* 1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (* n1_i u) n0_i)) (* 1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i))))))> |
#<alt (* n0_i (- 1 u))> |
#<alt (+ (* n0_i (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) (* n0_i (- 1 u)))> |
#<alt (+ (* n0_i (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) (* n0_i (- 1 u)))> |
#<alt (+ (* n0_i (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) (* n0_i (- 1 u)))> |
#<alt (* n0_i (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))))> |
#<alt (* n1_i (+ (* n0_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) (/ (* n0_i (- 1 u)) n1_i)))> |
#<alt (* n1_i (+ (* n0_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) (/ (* n0_i (- 1 u)) n1_i)))> |
#<alt (* n1_i (+ (* n0_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) (/ (* n0_i (- 1 u)) n1_i)))> |
#<alt (* -1 (* n0_i (* n1_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (* n0_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (* n0_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (* n0_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)))))))> |
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)))> |
#<alt (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (pow normAngle 2))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (pow normAngle 2))))> |
#<alt n0_i> |
#<alt (+ n0_i (* n0_i (* u (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1))))> |
#<alt (+ n0_i (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1)))))> |
#<alt (+ n0_i (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1)))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1)) (pow u 2))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1)) (pow u 2)))))> |
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1)) (pow u 2)))))> |
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))> |
#<alt (* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i))))) (pow u 2)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i))))) (pow u 2))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i))))) (pow u 2))))))> |
#<alt (- 1 u)> |
#<alt (- (+ 1 (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) u)> |
#<alt (- (+ 1 (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) u)> |
#<alt (- (+ 1 (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) u)> |
#<alt (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))> |
#<alt (* n1_i (- (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 n1_i) (/ u n0_i))) (/ u n1_i)))> |
#<alt (* n1_i (- (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 n1_i) (/ u n0_i))) (/ u n1_i)))> |
#<alt (* n1_i (- (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 n1_i) (/ u n0_i))) (/ u n1_i)))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ u n0_i)) (+ (* -1 (/ (- 1 u) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ u n0_i)) (+ (* -1 (/ (- 1 u) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ u n0_i)) (+ (* -1 (/ (- 1 u) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i))))))> |
#<alt (- (+ 1 (/ (* n1_i u) n0_i)) u)> |
#<alt (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u)> |
#<alt (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u)> |
#<alt (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u)> |
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2))))> |
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2))))> |
#<alt 1> |
#<alt (+ 1 (* u (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1)))> |
#<alt (+ 1 (* u (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i))) 1)))> |
#<alt (+ 1 (* u (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i))) 1)))> |
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i))> |
#<alt (* (pow u 3) (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2))))) (/ 1 (pow u 2))))> |
#<alt (* (pow u 3) (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (/ 1 (pow u 3)) (/ n1_i (* n0_i (pow u 2)))))) (/ 1 (pow u 2))))> |
#<alt (* (pow u 3) (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (/ 1 (pow u 3)) (/ n1_i (* n0_i (pow u 2)))))) (/ 1 (pow u 2))))> |
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2)))))))> |
#<alt (* -1 (* (pow u 3) (- (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2))))) (/ 1 (pow u 3)))))> |
#<alt (* -1 (* (pow u 3) (- (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2))))) (/ 1 (pow u 3)))))> |
#<alt (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)> |
#<alt (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u))) n0_i)> |
#<alt (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u))) n0_i)> |
#<alt (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u))) n0_i)> |
#<alt (- 1 u)> |
#<alt (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u)> |
#<alt (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u)> |
#<alt (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u)> |
#<alt (- 1 u)> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i))) u)> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i))) u)> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i))) u)> |
#<alt (* -1 u)> |
#<alt (- (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) u)> |
#<alt (- (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) u)> |
#<alt (- (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) u)> |
#<alt (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))> |
#<alt (* n1_i (+ (* -1 (/ u n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))))> |
#<alt (* n1_i (+ (* -1 (/ u n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))))> |
#<alt (* n1_i (+ (* -1 (/ u n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ u n0_i)) (+ (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ u n0_i)) (+ (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ u n0_i)) (+ (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n1_i)))))> |
#<alt (- (/ (* n1_i u) n0_i) u)> |
#<alt (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) u)> |
#<alt (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) u)> |
#<alt (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) u)> |
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))) (/ u (pow normAngle 2))))> |
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))) (/ u (pow normAngle 2))))> |
#<alt (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))) (/ u (pow normAngle 2))))> |
#<alt (* u (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1))> |
#<alt (* u (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i))) 1))> |
#<alt (* u (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i))) 1))> |
#<alt (* u (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i))) 1))> |
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i))> |
#<alt (* (pow u 3) (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2))))) (/ 1 (pow u 2))))> |
#<alt (* (pow u 3) (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2))))) (/ 1 (pow u 2))))> |
#<alt (* (pow u 3) (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2))))) (/ 1 (pow u 2))))> |
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2)))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2)))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2)))))))> |
#<alt (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)> |
#<alt (/ (+ (* -1 (* n0_i u)) (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u))) n0_i)> |
#<alt (/ (+ (* -1 (* n0_i u)) (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u))) n0_i)> |
#<alt (/ (+ (* -1 (* n0_i u)) (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u))) n0_i)> |
#<alt (* -1 u)> |
#<alt (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) u)> |
#<alt (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) u)> |
#<alt (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) u)> |
#<alt (* -1 u)> |
#<alt (- (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i)) u)> |
#<alt (- (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i)) u)> |
#<alt (- (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i)) u)> |
#<alt (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))> |
#<alt (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))> |
#<alt (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))> |
#<alt (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))> |
#<alt (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))> |
#<alt (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))> |
#<alt (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))> |
#<alt (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)))))> |
#<alt (/ (* n1_i u) n0_i)> |
#<alt (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))> |
#<alt (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))> |
#<alt (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))> |
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))))> |
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))))> |
#<alt (* u (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)))> |
#<alt (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i))))> |
#<alt (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i))))> |
#<alt (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i))))> |
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i))> |
#<alt (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2))))))> |
#<alt (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2))))))> |
#<alt (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2))))))> |
#<alt (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i))))))> |
#<alt (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)> |
#<alt (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)> |
#<alt (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)> |
#<alt (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)> |
#<alt (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)> |
#<alt (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)> |
#<alt (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)> |
#<alt (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)> |
#<alt (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i))> |
#<alt (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i))> |
#<alt (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i))> |
#<alt (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i))> |
#<alt n0_i> |
#<alt (+ n0_i (* u (+ n1_i (* -1 (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 (* u (- (* -1 (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i)) (* -1/2 (* n0_i (pow normAngle 2))))))) (* -1 (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))))))> |
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) (* u (+ (* -1 (* u (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* -1 (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i)) (* -1/2 (* n0_i (pow normAngle 2)))))) n0_i)) (* 1/2 (* (pow normAngle 2) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))))))) (* -1 (- (* -1 (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i)) (* -1/2 (* n0_i (pow normAngle 2))))))))))))> |
#<alt (* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))> |
#<alt (* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (* -1/2 (/ (* n0_i (pow normAngle 2)) u))))> |
#<alt (* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n1_i (pow u 2))))))> |
#<alt (* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))> |
#<alt (* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))> |
#<alt (* -1 (* (pow u 3) (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (- (* -1 (/ (- (* -1 n1_i) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 n1_i) (* -1 (/ n0_i u))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))> |
#<alt (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))))))> |
#<alt (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) (* n1_i (+ u (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/6 (pow normAngle 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))) (* 1/24 (/ (* (pow n0_i 2) (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))))))))> |
#<alt (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) (* n1_i (+ u (+ (* -1 (* n1_i (* (pow u 3) (- (* 1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/144 (/ (* (pow n0_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 3))))))))) (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/6 (pow normAngle 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))) (* 1/24 (/ (* (pow n0_i 2) (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2))))))))))))> |
#<alt (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) (* n1_i (+ u (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/6 (pow normAngle 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))) (* 1/24 (/ (* (pow n0_i 2) (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))))) (* n1_i (+ (* -1 (* (pow u 3) (- (* 1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/144 (/ (* (pow n0_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 3)))))))) (* n1_i (* (pow u 3) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* 1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (- (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/864 (/ (* (pow n0_i 2) (pow normAngle 10)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 4)))))))))))))> |
#<alt (* n1_i (+ u (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))))> |
#<alt (* n1_i (+ u (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i)))))> |
#<alt (* n1_i (+ u (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (* -1 (/ (* (pow u 3) (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2))) (* -3/2 (* (pow n0_i 2) (pow normAngle 2)))))) (pow n1_i 2))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i))))))> |
#<alt (* n1_i (+ u (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (* -1 (/ (* (pow u 3) (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2))) (* -3/2 (* (pow n0_i 2) (pow normAngle 2)))))) (pow n1_i 2))) (+ (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i)) (/ (* (pow u 3) (+ (* -9 (* (pow n0_i 2) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -6 (/ (* u (* (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2)))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2))))) (pow n1_i 3)))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (/ (* (pow u 3) (- (* 6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* 3/2 (* (pow n0_i 2) (pow normAngle 2))) (* 6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2)))))) n1_i)) n1_i))))))> |
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (* 6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* 3/2 (* (pow n0_i 2) (pow normAngle 2))) (* 6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2))))))) (* -1 (/ (* (pow u 3) (+ (* -9 (* (pow n0_i 2) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 6 (/ (* u (* (- (* 6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (* 6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2)))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2))))) n1_i))) n1_i))) n1_i))))))> |
#<alt (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))) (* n1_i u))> |
#<alt (+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))))) (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))) (* n1_i u)))> |
#<alt (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))) (+ (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))) (- (/ n0_i u) (/ n0_i (pow u 2))))))))) (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))))))))> |
#<alt (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))) (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))) (+ (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))) (* u (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (- (/ n0_i u) (/ n0_i (pow u 2)))))))))))))> |
#<alt (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (/ (* n1_i u) (pow normAngle 2))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (+ (/ (* n1_i u) (pow normAngle 2)) (/ (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 3)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 4)))) (/ (* (- (/ n0_i u) (/ n0_i (pow u 2))) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (pow normAngle 6)))))))> |
#<alt (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (/ (* n1_i u) (pow normAngle 2))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (+ (/ (* n1_i u) (pow normAngle 2)) (/ (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 3)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 4)))) (/ (* (- (/ n0_i u) (/ n0_i (pow u 2))) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (pow normAngle 6)))))))> |
#<alt (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u))> |
#<alt (+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))))) (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u)))> |
#<alt (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (+ (* n0_i (+ (* -1 (* n0_i (* (pow u 3) (- (* -6 (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* n1_i (* (pow normAngle 2) (pow u 2))))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) (- (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))) (* n1_i (pow normAngle 2)))) (* -3/2 (/ (pow normAngle 2) n1_i))))))) (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))))) (* n1_i u)))> |
#<alt (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (+ (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))) (* n0_i (+ (* -1 (* (pow u 3) (- (* -6 (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* n1_i (* (pow normAngle 2) (pow u 2))))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) (- (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))) (* n1_i (pow normAngle 2)))) (* -3/2 (/ (pow normAngle 2) n1_i)))))) (* n0_i (* (pow u 3) (+ (* -9 (/ (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))) (pow n1_i 2))) (* -6 (/ (* u (* (- (* -6 (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* n1_i (* (pow normAngle 2) (pow u 2))))) (* -6 (/ (* u (* (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) (- (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))) (* n1_i (pow normAngle 2))))) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))) (* n1_i (pow normAngle 2))))))))))) (* n1_i u)))> |
#<alt (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))))> |
#<alt (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (+ (* -1 (/ (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) n0_i)) (/ (* n1_i u) n0_i))))> |
#<alt (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/144 (/ (* (pow n1_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 3))))))) (pow n0_i 2))) (+ (* -1 (/ (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) n0_i)) (/ (* n1_i u) n0_i)))))> |
#<alt (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/144 (/ (* (pow n1_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 3))))))) (pow n0_i 2))) (+ (* -1 (/ (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) n0_i)) (+ (/ (* n1_i u) n0_i) (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/864 (/ (* (pow n1_i 3) (pow normAngle 10)) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 4)))))) (pow n0_i 3)))))))> |
#<alt (* n0_i (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))))))) (* n1_i u)) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))))))) (+ (* n1_i u) (/ (* (pow u 3) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/144 (/ (* (pow n1_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 3))))))) n0_i))) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))))))) (+ (* -1 (/ (+ (* -1 (* (pow u 3) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/144 (/ (* (pow n1_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 3)))))))) (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/864 (/ (* (pow n1_i 3) (pow normAngle 10)) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 4)))))) n0_i))) n0_i)) (* n1_i u))) n0_i)))))> |
#<alt (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))))> |
#<alt (+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))))) (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))))> |
#<alt (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))) (+ (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))) (- (/ n0_i u) (/ n0_i (pow u 2))))))))) (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))))))> |
#<alt (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))) (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))) (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))) (+ (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))) (* u (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (- (/ n0_i u) (/ n0_i (pow u 2))))))))))))> |
#<alt (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (/ (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 3)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 4)))) (/ (* (- (/ n0_i u) (/ n0_i (pow u 2))) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (pow normAngle 6))))))> |
#<alt (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2)))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))))))> |
#<alt (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (/ (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 3)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 4)))) (/ (* (- (/ n0_i u) (/ n0_i (pow u 2))) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (pow normAngle 6))))))> |
#<alt (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))))))> |
#<alt (+ (* -1 (* n1_i (* (pow u 3) (- (+ (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/6 (pow normAngle 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))) (* 1/24 (/ (* (pow n0_i 2) (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2))))))))) (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))))> |
#<alt (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) (* n1_i (+ (* -1 (* n1_i (* (pow u 3) (- (* 1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/144 (/ (* (pow n0_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 3))))))))) (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/6 (pow normAngle 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))) (* 1/24 (/ (* (pow n0_i 2) (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))))))))> |
#<alt (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) (* n1_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/6 (pow normAngle 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))) (* 1/24 (/ (* (pow n0_i 2) (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))))) (* n1_i (+ (* -1 (* (pow u 3) (- (* 1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/144 (/ (* (pow n0_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 3)))))))) (* n1_i (* (pow u 3) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* 1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (- (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/864 (/ (* (pow n0_i 2) (pow normAngle 10)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 4))))))))))))> |
#<alt (* -1 (* n1_i (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))> |
#<alt (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i))))> |
#<alt (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (* -1 (/ (* (pow u 3) (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2))) (* -3/2 (* (pow n0_i 2) (pow normAngle 2)))))) (pow n1_i 2))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i)))))> |
#<alt (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (* -1 (/ (* (pow u 3) (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2))) (* -3/2 (* (pow n0_i 2) (pow normAngle 2)))))) (pow n1_i 2))) (+ (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i)) (/ (* (pow u 3) (+ (* -9 (* (pow n0_i 2) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -6 (/ (* u (* (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2)))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2))))) (pow n1_i 3))))))> |
#<alt (* n1_i (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i))))> |
#<alt (* -1 (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (/ (* (pow u 3) (- (* 6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* 3/2 (* (pow n0_i 2) (pow normAngle 2))) (* 6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2)))))) n1_i)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (* 6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* 3/2 (* (pow n0_i 2) (pow normAngle 2))) (* 6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2))))))) (* -1 (/ (* (pow u 3) (+ (* -9 (* (pow n0_i 2) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 6 (/ (* u (* (- (* 6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (* 6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2)))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2))))) n1_i))) n1_i))) n1_i)))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))> |
#<alt (+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))))) (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))> |
#<alt (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n0_i (+ (* -1 (* n0_i (* (pow u 3) (- (* -6 (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* n1_i (* (pow normAngle 2) (pow u 2))))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) (- (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))) (* n1_i (pow normAngle 2)))) (* -3/2 (/ (pow normAngle 2) n1_i))))))) (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))))))> |
#<alt (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))) (* n0_i (+ (* -1 (* (pow u 3) (- (* -6 (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* n1_i (* (pow normAngle 2) (pow u 2))))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) (- (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))) (* n1_i (pow normAngle 2)))) (* -3/2 (/ (pow normAngle 2) n1_i)))))) (* n0_i (* (pow u 3) (+ (* -9 (/ (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))) (pow n1_i 2))) (* -6 (/ (* u (* (- (* -6 (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* n1_i (* (pow normAngle 2) (pow u 2))))) (* -6 (/ (* u (* (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) (- (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))) (* n1_i (pow normAngle 2))))) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))) (* n1_i (pow normAngle 2))))))))))))> |
#<alt (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))))> |
#<alt (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) n0_i))))> |
#<alt (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/144 (/ (* (pow n1_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 3))))))) (pow n0_i 2))) (* -1 (/ (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) n0_i)))))> |
#<alt (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/144 (/ (* (pow n1_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 3))))))) (pow n0_i 2))) (+ (* -1 (/ (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) n0_i)) (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/864 (/ (* (pow n1_i 3) (pow normAngle 10)) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 4)))))) (pow n0_i 3))))))> |
#<alt (* n0_i (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))))))> |
#<alt (* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (/ (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) n0_i))))> |
#<alt (* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))))))) (/ (* (pow u 3) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/144 (/ (* (pow n1_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 3))))))) n0_i)) n0_i)))))> |
#<alt (* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/144 (/ (* (pow n1_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 3)))))))) (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/864 (/ (* (pow n1_i 3) (pow normAngle 10)) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 4)))))) n0_i))) n0_i))) n0_i)))))> |
#<alt n0_i> |
#<alt (+ n0_i (* -1 (* u (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))))> |
#<alt (+ n0_i (* u (+ (* -1 (* u (- (* -1 (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i)) (* -1/2 (* n0_i (pow normAngle 2))))))) (* -1 (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))))> |
#<alt (+ n0_i (* u (+ (* -1 (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) (* u (+ (* -1 (* u (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* -1 (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i)) (* -1/2 (* n0_i (pow normAngle 2)))))) n0_i)) (* 1/2 (* (pow normAngle 2) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))))))) (* -1 (- (* -1 (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i)) (* -1/2 (* n0_i (pow normAngle 2)))))))))))> |
#<alt (* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))> |
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#<alt (* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (* -1/2 (/ (* n0_i (pow normAngle 2)) u)))))> |
#<alt (* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3))))))> |
#<alt (* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))> |
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#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))> |
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))> |
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#<alt (* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (pow u 2))))) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))) n0_i)) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (pow u 2))))) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) n0_i)) (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (pow u 2))))) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))) n0_i)) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))> |
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (pow u 2))))) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (* n0_i (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) (* -1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (pow u 2))))) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) n0_i)) (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (pow u 2))))) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))) n0_i)) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))> |
#<alt (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))))> |
#<alt (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* (pow normAngle 2) (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* -1 (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))))> |
#<alt (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* (pow normAngle 2) (- (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2)))))) (+ (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* -1 (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))))))) (* -1 (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))))> |
#<alt (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* (pow normAngle 2) (- (+ (* -1 (/ (* (pow normAngle 2) (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2)))))) (+ (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* -1 (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))))))) (- (/ n0_i u) (/ n0_i (pow u 2))))) (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2))))))) (+ (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* -1 (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))))))) (* -1 (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))))> |
#<alt (/ (* (pow normAngle 2) (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2)))) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))> |
#<alt (* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))> |
#<alt (* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow normAngle 4) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))) (+ (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 4) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))))> |
#<alt (* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (* -1 (/ (* (- (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 6) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow normAngle 4) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 4) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))))> |
#<alt (/ (* (pow normAngle 2) (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2)))) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))> |
#<alt (* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))> |
#<alt (* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow normAngle 4) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))) (+ (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 4) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))))> |
#<alt (* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (* -1 (/ (* (- (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 6) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow normAngle 4) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 4) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))))> |
#<alt (/ n0_i (pow u 3))> |
#<alt (/ (+ n0_i (* u (- (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (pow u 3))> |
#<alt (/ (+ n0_i (* u (- (+ (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* u (- (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))) n0_i)) (* 1/2 (* n0_i (pow normAngle 2))))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (pow u 3))> |
#<alt (/ (+ n0_i (* u (- (+ (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* u (- (+ (* -1 (* u (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))) n0_i)) (* 1/2 (* n0_i (pow normAngle 2)))))) n0_i)) (* 1/2 (* (pow normAngle 2) (- (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))))))) (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))) n0_i)) (* 1/2 (* n0_i (pow normAngle 2))))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (pow u 3))> |
#<alt (* -1/2 (/ (* n0_i (pow normAngle 2)) u))> |
#<alt (/ (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)> |
#<alt (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n0_i (pow u 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) u))) u)> |
#<alt (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n0_i (pow u 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) u))) u)> |
#<alt (* -1/2 (/ (* n0_i (pow normAngle 2)) u))> |
#<alt (* -1 (/ (+ (* 1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) u))) u))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (/ n0_i u)) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (/ n0_i u)) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u))> |
#<alt (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))> |
#<alt (- (+ (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* n1_i (- (* 1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2)))) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2))))))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))> |
#<alt (- (+ (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* n1_i (- (+ (* 1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* n1_i (- (* -1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2)))) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2)))) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2))))))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))> |
#<alt (- (+ (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* n1_i (- (+ (* 1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* n1_i (- (+ (* -1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2)))) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2)))) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2)))) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2))))))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))> |
#<alt (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2)))> |
#<alt (* n1_i (- (+ (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (* n1_i (pow u 2)))) (* 1/6 (/ (pow normAngle 2) (pow u 2)))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (* n1_i u)))))> |
#<alt (* n1_i (- (+ (* -6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (* (pow n1_i 2) (pow normAngle 2)))) (+ (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (* n1_i (pow u 2)))) (* 1/6 (/ (pow normAngle 2) (pow u 2))))) (+ (* -6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (* (pow n1_i 2) (pow normAngle 2)))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (* n1_i u))))))> |
#<alt (* n1_i (- (+ (* -6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (* (pow n1_i 2) (pow normAngle 2)))) (+ (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (* n1_i (pow u 2)))) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (* 6 (/ (* u (* (- (* -6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (pow normAngle 2))) (* -6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2)))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (* (pow n1_i 3) (pow normAngle 2))))))) (+ (* -6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (* (pow n1_i 2) (pow normAngle 2)))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (* n1_i u))))))> |
#<alt (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2)))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) n1_i)) (* -1/6 (/ (pow normAngle 2) (pow u 2))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (- (+ (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (* 6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (pow normAngle 2))) (* 6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2)))) n1_i))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) n1_i)) (* -1/6 (/ (pow normAngle 2) (pow u 2))))))> |
#<alt (* -1 (* n1_i (+ (* -1 (/ (- (+ (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* 6 (/ (* u (* (- (* 6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (pow normAngle 2))) (* 6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2)))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (* n1_i (pow normAngle 2)))) (* 6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (pow normAngle 2)))) (* 6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2)))) n1_i))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) n1_i)) (* -1/6 (/ (pow normAngle 2) (pow u 2))))))> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* -1/6 n0_i)> |
#<alt (* 1/6 n0_i)> |
#<alt (+ (* -1/6 n1_i) (* 1/6 n0_i))> |
#<alt (+ (* -1/6 n1_i) (* 1/6 n0_i))> |
#<alt (+ (* -1/6 n1_i) (* 1/6 n0_i))> |
#<alt (* -1/6 n1_i)> |
#<alt (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6))> |
#<alt (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6))> |
#<alt (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6))> |
#<alt (* -1/6 n1_i)> |
#<alt (* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i)))))> |
#<alt (* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i)))))> |
#<alt (* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i)))))> |
#<alt (* -1/6 n1_i)> |
#<alt (+ (* -1/6 n1_i) (* 1/6 n0_i))> |
#<alt (+ (* -1/6 n1_i) (* 1/6 n0_i))> |
#<alt (+ (* -1/6 n1_i) (* 1/6 n0_i))> |
#<alt (* 1/6 n0_i)> |
#<alt (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i))))> |
#<alt (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i))))> |
#<alt (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i))))> |
#<alt (* 1/6 n0_i)> |
#<alt (* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6)))> |
#<alt (* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6)))> |
#<alt (* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6)))> |
#<alt (+ (* -1/2 n0_i) (* 1/6 n0_i))> |
#<alt (+ (* -1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i)))> |
#<alt (+ (* -1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i)))> |
#<alt (+ (* -1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i)))> |
#<alt (* -1/6 n1_i)> |
#<alt (* n1_i (- (+ (* -1/2 (/ n0_i n1_i)) (* 1/6 (/ n0_i n1_i))) 1/6))> |
#<alt (* n1_i (- (+ (* -1/2 (/ n0_i n1_i)) (* 1/6 (/ n0_i n1_i))) 1/6))> |
#<alt (* n1_i (- (+ (* -1/2 (/ n0_i n1_i)) (* 1/6 (/ n0_i n1_i))) 1/6))> |
#<alt (* -1/6 n1_i)> |
#<alt (* -1 (* n1_i (+ 1/6 (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 n0_i)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ 1/6 (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 n0_i)) n1_i)))))> |
#<alt (* -1 (* n1_i (+ 1/6 (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 n0_i)) n1_i)))))> |
#<alt (* -1/6 n1_i)> |
#<alt (+ (* -1/3 n0_i) (* -1/6 n1_i))> |
#<alt (+ (* -1/3 n0_i) (* -1/6 n1_i))> |
#<alt (+ (* -1/3 n0_i) (* -1/6 n1_i))> |
#<alt (* -1/3 n0_i)> |
#<alt (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))> |
#<alt (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))> |
#<alt (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))> |
#<alt (* -1/3 n0_i)> |
#<alt (* -1 (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))))> |
#<alt (* -1 (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))))> |
#<alt (* -1 (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))))> |
255 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 51.0ms | normAngle | @ | inf | (* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) (* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u))))) (* -1 (* u (* u u)))) |
| 36.0ms | normAngle | @ | inf | (* n0_i (+ 1 (- (+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i)) u))) |
| 13.0ms | normAngle | @ | 0 | (/ (- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) (* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u)))) |
| 8.0ms | n1_i | @ | 0 | (+ (* u n1_i) (* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) (* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u))))) (* -1 (* u (* u u))))) |
| 6.0ms | n1_i | @ | inf | (* n0_i (+ 1 (- (+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i)) u))) |
| 1× | batch-egg-rewrite |
| 3980× | *-lowering-*.f32 |
| 3980× | *-lowering-*.f64 |
| 2266× | /-lowering-/.f32 |
| 2266× | /-lowering-/.f64 |
| 1996× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 565 |
| 1 | 526 | 490 |
| 2 | 6010 | 478 |
| 0 | 8046 | 478 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ n0_i (* u (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))))) |
(* u (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3))))) |
(+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) |
(- n1_i n0_i) |
(* n0_i (- 1 u)) |
(- 1 u) |
(+ n0_i (* u (* n1_i (+ 1 (+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6)))))) |
(* u (* n1_i (+ 1 (+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6))))) |
(* n1_i (+ 1 (+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6)))) |
(+ 1 (+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6))) |
(* n0_i (+ 1 (- (+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i)) u))) |
(+ 1 (- (+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i)) u)) |
(- (+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i)) u) |
(+ (/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) (/ (* u n1_i) n0_i)) |
(+ (* u n1_i) (* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) (* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u))))) (* -1 (* u (* u u))))) |
(* (- (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i -1/6))) (/ (- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) (* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u))))) (* -1 (* u (* u u)))) |
(* -1 (* u (* u u))) |
(* u n1_i) |
(* n0_i 1/3) |
(* n1_i 1/6) |
(* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3))) |
(+ (* n1_i 1/6) (* n0_i 1/3)) |
(* -1/6 (* normAngle normAngle)) |
(* (* normAngle normAngle) 1/6) |
(* (* -1/6 (* normAngle normAngle)) (* u u)) |
(+ (* (* -1/6 (* normAngle normAngle)) (* u u)) (* (* normAngle normAngle) 1/6)) |
(/ (* (* n1_i -1/6) (* (* normAngle normAngle) (* u (+ (* u u) -1)))) n0_i) |
(/ (* u n1_i) n0_i) |
(* n1_i -1/6) |
(/ (- (* (* (* n0_i n0_i) 1/4) (* (* normAngle normAngle) (* normAngle normAngle))) (/ (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u) (/ u (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)))))))) (* u (+ (* n0_i (* (* normAngle normAngle) -1/2)) (/ (+ (- n0_i (/ n0_i u)) (* normAngle (* normAngle (+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2))))) u)))) |
(* n0_i -1/6) |
(* (- n1_i n0_i) -1/6) |
(+ (* (- n1_i n0_i) -1/6) (* n0_i -1/2)) |
| Outputs |
|---|
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))))) |
(+.f32 (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) n0_i) |
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) (+.f32 (*.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (*.f32 normAngle normAngle))) n0_i)) |
(+.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (*.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 u (*.f32 normAngle normAngle)))) |
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) n0_i) |
(fma.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) u n0_i) |
(-.f32 (/.f32 (*.f32 n0_i n0_i) (-.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))))) (/.f32 (*.f32 u (*.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))))) (-.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))))))) |
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(+.f32 (/.f32 (/.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) u) (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32)))))) (neg.f32 (/.f32 (/.f32 (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u)) u) (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32)))))))) |
(pow.f32 (/.f32 (*.f32 u (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32)))))) (-.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u)))) #s(literal -1 binary32)) |
(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) u) (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32)))))) (/.f32 (/.f32 (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u)) u) (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 u (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32)))))) (-.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32)))))) (-.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32))))) (/.f32 (-.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u))) u))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 u (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32)))))) (-.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u)))))) |
(/.f32 (-.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u))) (*.f32 u (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32))))))) |
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(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))))) (*.f32 (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u)) (*.f32 (*.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (*.f32 u u)) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (*.f32 u u))) (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))))))) (*.f32 (*.f32 u (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32)))))) (+.f32 (*.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32)))) (*.f32 (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u)) (+.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u))))))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (*.f32 u u)) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (*.f32 u u))) (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))))) (*.f32 (*.f32 u (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32)))))) (+.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u))))) |
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(*.f32 (-.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u))) (/.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32))))))) |
(*.f32 (+.f32 (neg.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32)))) (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 u (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32))))))))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) u) (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32)))))) (-.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u)))) |
(*.f32 (/.f32 (-.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u))) u) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32))))))) |
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u))) u) (+.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32)))) (*.f32 (*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 n0_i (*.f32 normAngle normAngle))) #s(literal 1/4 binary32))) (*.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u))))) (+.f32 (*.f32 (*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 n0_i (*.f32 normAngle normAngle))) #s(literal 1/4 binary32)) (*.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (-.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u) (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32)))))))) |
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u))) u) (-.f32 (*.f32 (*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 n0_i (*.f32 normAngle normAngle))) #s(literal 1/4 binary32)) (/.f32 (*.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) (*.f32 u u)))) (-.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 n0_i #s(literal -1/2 binary32)))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))) u))) |
(*.f32 n0_i #s(literal -1/6 binary32)) |
(*.f32 #s(literal -1/6 binary32) n0_i) |
(+.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (neg.f32 n0_i) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (neg.f32 n0_i))) |
(/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (*.f32 n1_i n1_i)) (*.f32 n0_i (*.f32 n0_i n0_i)))) (+.f32 (*.f32 n1_i n1_i) (*.f32 n0_i (+.f32 n0_i n1_i)))) |
(/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i n1_i) (*.f32 n0_i n0_i))) (+.f32 n0_i n1_i)) |
(/.f32 (*.f32 (-.f32 (*.f32 n1_i (*.f32 n1_i n1_i)) (*.f32 n0_i (*.f32 n0_i n0_i))) #s(literal -1/6 binary32)) (+.f32 (*.f32 n1_i n1_i) (*.f32 n0_i (+.f32 n0_i n1_i)))) |
(/.f32 (*.f32 (-.f32 (*.f32 n1_i n1_i) (*.f32 n0_i n0_i)) #s(literal -1/6 binary32)) (+.f32 n0_i n1_i)) |
(*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) |
(*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) |
(+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))) |
(+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) |
(fma.f32 n0_i #s(literal -1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) |
(fma.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/2 binary32))) |
(fma.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/2 binary32))) |
(fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) |
(-.f32 (/.f32 (*.f32 (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i)) #s(literal 1/36 binary32)) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) n0_i))) (/.f32 (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32)) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) n0_i)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i)) #s(literal 1/36 binary32)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))))) (+.f32 (*.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i))) #s(literal -1/216 binary32)) (*.f32 (*.f32 n0_i (*.f32 n0_i n0_i)) #s(literal -1/8 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) n0_i)) (-.f32 (*.f32 (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i)) #s(literal 1/36 binary32)) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))))) |
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i))) #s(literal -1/216 binary32)) (*.f32 (*.f32 n0_i (*.f32 n0_i n0_i)) #s(literal -1/8 binary32))) (+.f32 (*.f32 (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i)) #s(literal 1/36 binary32)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)))))) |
(/.f32 (+.f32 (*.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i))) #s(literal -1/216 binary32)) (*.f32 (*.f32 n0_i (*.f32 n0_i n0_i)) #s(literal -1/8 binary32))) (+.f32 (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32)) (-.f32 (*.f32 (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i)) #s(literal 1/36 binary32)) (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) |
(/.f32 (-.f32 (*.f32 (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i)) #s(literal 1/36 binary32)) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) n0_i))) |
(/.f32 (neg.f32 (+.f32 (*.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i))) #s(literal -1/216 binary32)) (*.f32 (*.f32 n0_i (*.f32 n0_i n0_i)) #s(literal -1/8 binary32)))) (neg.f32 (+.f32 (*.f32 (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i)) #s(literal 1/36 binary32)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i)) #s(literal 1/36 binary32)) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32)))) (neg.f32 (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) n0_i)))) |
(/.f32 (-.f32 (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32)) (*.f32 (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i)) #s(literal 1/36 binary32))) (-.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)))) |
(*.f32 (+.f32 (*.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i))) #s(literal -1/216 binary32)) (*.f32 (*.f32 n0_i (*.f32 n0_i n0_i)) #s(literal -1/8 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i)) #s(literal 1/36 binary32)) (*.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (-.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))))))) |
(*.f32 (-.f32 (*.f32 (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i)) #s(literal 1/36 binary32)) (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/2 binary32) n0_i)))) |
| 1× | egg-herbie |
| 6752× | *-lowering-*.f32 |
| 6752× | *-lowering-*.f64 |
| 3128× | +-lowering-+.f64 |
| 3128× | +-lowering-+.f32 |
| 2822× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1579 | 42087 |
| 1 | 6020 | 37313 |
| 0 | 9024 | 37313 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) |
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))) |
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))) |
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))) |
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))) |
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))) |
(* -1 (* n0_i (- (* u (+ 1 (* -1/3 (pow normAngle 2)))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1))) |
n0_i |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))) |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))) |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i)) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i)) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i)) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) (* -1 (/ n0_i u))))) |
(+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) |
(+ n0_i (+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))) |
(+ n0_i (+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))) |
(+ n0_i (+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))) |
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) |
(* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)))) |
(* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)))) |
(* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)))) |
(* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1))))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) |
(+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) |
(+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) |
(+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) |
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) |
(* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))) |
(* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))) |
(* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))) |
(* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) |
(* -1 (* n1_i (+ (* -1 (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1))))) |
(* -1 (* n1_i (+ (* -1 (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1))))) |
(* -1 (* n1_i (+ (* -1 (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1))))) |
(* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) |
(+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))) |
(+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))) |
(+ (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))) |
(* n0_i (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i))) |
(* n0_i (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i))) |
(* n0_i (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i))) |
(* -1 (* n0_i (* u (+ 1 (* -1/3 (pow normAngle 2)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))))) |
(* -1 (* n0_i (+ (* -1 (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))))) |
(* -1 (* n0_i (+ (* -1 (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))))) |
(* u (- n1_i n0_i)) |
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))) |
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))) |
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))) |
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))) |
(- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i) |
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i) |
(* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) |
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) (/ n0_i n1_i))) |
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) (/ n0_i n1_i))) |
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) (/ n0_i n1_i))) |
(* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1))) |
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) |
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) |
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) |
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))) |
(* n0_i (- (* 1/3 (pow normAngle 2)) 1)) |
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1)) |
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1)) |
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1)) |
(* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2)))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2)))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2)))))) |
(- n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2)))) (/ 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))))) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
(* n0_i (- 1 u)) |
n0_i |
(+ n0_i (* -1 (* n0_i u))) |
(+ n0_i (* -1 (* n0_i u))) |
(+ n0_i (* -1 (* n0_i u))) |
(* -1 (* n0_i u)) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* -1 (* n0_i u)) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
1 |
(+ 1 (* -1 u)) |
(+ 1 (* -1 u)) |
(+ 1 (* -1 u)) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (- (/ 1 u) 1)) |
(* u (- (/ 1 u) 1)) |
(* -1 u) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(+ n0_i (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))) |
(+ n0_i (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))) |
(+ n0_i (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))) |
n0_i |
(* n0_i (+ 1 (/ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) n0_i))) |
(* n0_i (+ 1 (/ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) n0_i))) |
(* n0_i (+ 1 (/ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) n0_i))) |
n0_i |
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) n0_i)) 1))) |
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) n0_i)) 1))) |
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) n0_i)) 1))) |
n0_i |
(+ n0_i (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))) |
(+ n0_i (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))) |
(+ n0_i (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* 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 (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1 (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1 (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
n0_i |
(+ n0_i (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))) |
(+ n0_i (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))) |
(+ n0_i (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (/ n0_i n1_i))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (/ n0_i n1_i))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (/ n0_i n1_i))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* -1 (* n1_i (+ (* -1 (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* -1 (/ n0_i n1_i))))) |
(* -1 (* n1_i (+ (* -1 (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* -1 (/ n0_i n1_i))))) |
(* -1 (* n1_i (+ (* -1 (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* -1 (/ n0_i n1_i))))) |
(+ n0_i (* n1_i u)) |
(+ n0_i (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))) |
(+ n0_i (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))) |
(+ n0_i (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))) |
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i u) |
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) |
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))) |
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
n1_i |
(+ n1_i (* n1_i (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))))) |
(+ n1_i (* n1_i (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))))) |
(+ n1_i (* n1_i (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))))) |
(* n1_i (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2))))) |
(* (pow normAngle 2) (+ (* n1_i (+ 1/6 (* -1/6 (pow u 2)))) (/ n1_i (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* n1_i (+ 1/6 (* -1/6 (pow u 2)))) (/ n1_i (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* n1_i (+ 1/6 (* -1/6 (pow u 2)))) (/ n1_i (pow normAngle 2)))) |
(* n1_i (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2))))) |
(* (pow normAngle 2) (+ (* n1_i (+ 1/6 (* -1/6 (pow u 2)))) (/ n1_i (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* n1_i (+ 1/6 (* -1/6 (pow u 2)))) (/ n1_i (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* n1_i (+ 1/6 (* -1/6 (pow u 2)))) (/ n1_i (pow normAngle 2)))) |
(* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) |
(* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) |
(* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
1 |
(+ 1 (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2))))) |
(+ 1 (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2))))) |
(+ 1 (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2))))) |
(* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))) |
(* (pow normAngle 2) (+ 1/6 (+ (* -1/6 (pow u 2)) (/ 1 (pow normAngle 2))))) |
(* (pow normAngle 2) (+ 1/6 (+ (* -1/6 (pow u 2)) (/ 1 (pow normAngle 2))))) |
(* (pow normAngle 2) (+ 1/6 (+ (* -1/6 (pow u 2)) (/ 1 (pow normAngle 2))))) |
(* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))) |
(* (pow normAngle 2) (+ 1/6 (+ (* -1/6 (pow u 2)) (/ 1 (pow normAngle 2))))) |
(* (pow normAngle 2) (+ 1/6 (+ (* -1/6 (pow u 2)) (/ 1 (pow normAngle 2))))) |
(* (pow normAngle 2) (+ 1/6 (+ (* -1/6 (pow u 2)) (/ 1 (pow normAngle 2))))) |
(+ 1 (* 1/6 (pow normAngle 2))) |
(+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) |
(+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) |
(+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(+ (* -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 u)) (* n1_i u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(* n0_i (- 1 u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u)) |
(* n0_i (- 1 u)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (* n1_i u) n0_i)) (* 1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (* n1_i u) n0_i)) (* 1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (* n1_i u) n0_i)) (* 1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)))))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) (* n0_i (- 1 u))) |
(+ (* n0_i (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) (* n0_i (- 1 u))) |
(+ (* n0_i (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) (* n0_i (- 1 u))) |
(* n0_i (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) |
(* n1_i (+ (* n0_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ (* n0_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ (* n0_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) (/ (* n0_i (- 1 u)) n1_i))) |
(* -1 (* n0_i (* n1_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)))))) |
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (* n0_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i))))))) |
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (* n0_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i))))))) |
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (* n0_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i))))))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (pow normAngle 2)))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (pow normAngle 2)))) |
n0_i |
(+ n0_i (* n0_i (* u (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1)))) |
(+ n0_i (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1))))) |
(+ n0_i (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1)) (pow u 2)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1)) (pow u 2))))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1)) (pow u 2))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i))))) (pow u 2))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i))))) (pow u 2)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i))))) (pow u 2)))))) |
(- 1 u) |
(- (+ 1 (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) u) |
(- (+ 1 (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) u) |
(- (+ 1 (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) u) |
(* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) |
(* n1_i (- (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 n1_i) (/ u n0_i))) (/ u n1_i))) |
(* n1_i (- (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 n1_i) (/ u n0_i))) (/ u n1_i))) |
(* n1_i (- (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 n1_i) (/ u n0_i))) (/ u n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i))))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (+ (* -1 (/ (- 1 u) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)))))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (+ (* -1 (/ (- 1 u) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)))))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (+ (* -1 (/ (- 1 u) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)))))) |
(- (+ 1 (/ (* n1_i u) n0_i)) u) |
(- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u) |
(- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u) |
(- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2)))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2)))) |
1 |
(+ 1 (* u (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1))) |
(+ 1 (* u (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i))) 1))) |
(+ 1 (* u (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i))) 1))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i)) |
(* (pow u 3) (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2))))) (/ 1 (pow u 2)))) |
(* (pow u 3) (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (/ 1 (pow u 3)) (/ n1_i (* n0_i (pow u 2)))))) (/ 1 (pow u 2)))) |
(* (pow u 3) (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (/ 1 (pow u 3)) (/ n1_i (* n0_i (pow u 2)))))) (/ 1 (pow u 2)))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i)) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2))))))) |
(* -1 (* (pow u 3) (- (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2))))) (/ 1 (pow u 3))))) |
(* -1 (* (pow u 3) (- (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2))))) (/ 1 (pow u 3))))) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u))) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u))) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u))) n0_i) |
(- 1 u) |
(- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u) |
(- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u) |
(- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u) |
(- 1 u) |
(- (+ 1 (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i))) u) |
(- (+ 1 (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i))) u) |
(- (+ 1 (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i))) u) |
(* -1 u) |
(- (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) u) |
(- (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) u) |
(- (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) u) |
(* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) |
(* n1_i (+ (* -1 (/ u n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) |
(* n1_i (+ (* -1 (/ u n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) |
(* n1_i (+ (* -1 (/ u n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i))))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (+ (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (+ (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (+ (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n1_i))))) |
(- (/ (* n1_i u) n0_i) u) |
(- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) u) |
(- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) u) |
(- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) u) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))) (/ u (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))) (/ u (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))) (/ u (pow normAngle 2)))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))) (/ u (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))) (/ u (pow normAngle 2)))) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2)))) (/ u (pow normAngle 2)))) |
(* u (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1)) |
(* u (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i))) 1)) |
(* u (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i))) 1)) |
(* u (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i))) 1)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i)) |
(* (pow u 3) (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2))))) (/ 1 (pow u 2)))) |
(* (pow u 3) (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2))))) (/ 1 (pow u 2)))) |
(* (pow u 3) (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2))))) (/ 1 (pow u 2)))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i)) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2))))))) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/ (+ (* -1 (* n0_i u)) (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u))) n0_i) |
(/ (+ (* -1 (* n0_i u)) (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u))) n0_i) |
(/ (+ (* -1 (* n0_i u)) (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u))) n0_i) |
(* -1 u) |
(- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) u) |
(- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) u) |
(- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) u) |
(* -1 u) |
(- (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i)) u) |
(- (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i)) u) |
(- (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i)) u) |
(* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) |
(* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) |
(* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) |
(* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) |
(* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) |
(* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) |
(* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) |
(* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i))))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i))))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i))))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i))))) |
(/ (* n1_i u) n0_i) |
(+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) |
(+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) |
(+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) |
(* u (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i))) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)))) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)))) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i)) |
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2)))))) |
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2)))))) |
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2)))))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i)) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)))))) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i)) |
(* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i)) |
(* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i)) |
(* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i)) |
n0_i |
(+ n0_i (* u (+ n1_i (* -1 (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 (* u (- (* -1 (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i)) (* -1/2 (* n0_i (pow normAngle 2))))))) (* -1 (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) (* u (+ (* -1 (* u (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* -1 (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i)) (* -1/2 (* n0_i (pow normAngle 2)))))) n0_i)) (* 1/2 (* (pow normAngle 2) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))))))) (* -1 (- (* -1 (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i)) (* -1/2 (* n0_i (pow normAngle 2)))))))))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (* -1/2 (/ (* n0_i (pow normAngle 2)) u)))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n1_i (pow u 2)))))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(* -1 (* (pow u 3) (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (- (* -1 (/ (- (* -1 n1_i) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 n1_i) (* -1 (/ n0_i u))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) |
(+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) (* n1_i (+ u (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/6 (pow normAngle 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))) (* 1/24 (/ (* (pow n0_i 2) (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2))))))))))) |
(+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) (* n1_i (+ u (+ (* -1 (* n1_i (* (pow u 3) (- (* 1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/144 (/ (* (pow n0_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 3))))))))) (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/6 (pow normAngle 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))) (* 1/24 (/ (* (pow n0_i 2) (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))))))))) |
(+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) (* n1_i (+ u (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/6 (pow normAngle 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))) (* 1/24 (/ (* (pow n0_i 2) (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))))) (* n1_i (+ (* -1 (* (pow u 3) (- (* 1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/144 (/ (* (pow n0_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 3)))))))) (* n1_i (* (pow u 3) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* 1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (- (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/864 (/ (* (pow n0_i 2) (pow normAngle 10)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 4))))))))))))) |
(* n1_i (+ u (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))) |
(* n1_i (+ u (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i))))) |
(* n1_i (+ u (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (* -1 (/ (* (pow u 3) (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2))) (* -3/2 (* (pow n0_i 2) (pow normAngle 2)))))) (pow n1_i 2))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i)))))) |
(* n1_i (+ u (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (* -1 (/ (* (pow u 3) (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2))) (* -3/2 (* (pow n0_i 2) (pow normAngle 2)))))) (pow n1_i 2))) (+ (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i)) (/ (* (pow u 3) (+ (* -9 (* (pow n0_i 2) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -6 (/ (* u (* (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2)))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2))))) (pow n1_i 3))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2))))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (/ (* (pow u 3) (- (* 6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* 3/2 (* (pow n0_i 2) (pow normAngle 2))) (* 6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2)))))) n1_i)) n1_i)))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (* 6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* 3/2 (* (pow n0_i 2) (pow normAngle 2))) (* 6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2))))))) (* -1 (/ (* (pow u 3) (+ (* -9 (* (pow n0_i 2) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 6 (/ (* u (* (- (* 6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (* 6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2)))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2))))) n1_i))) n1_i))) n1_i)))))) |
(+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))) (* n1_i u)) |
(+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))))) (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))) (* n1_i u))) |
(+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))) (+ (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))) (- (/ n0_i u) (/ n0_i (pow u 2))))))))) (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))))))) |
(+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))) (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))) (+ (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))) (* u (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (- (/ n0_i u) (/ n0_i (pow u 2))))))))))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (/ (* n1_i u) (pow normAngle 2)))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (+ (/ (* n1_i u) (pow normAngle 2)) (/ (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 3)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 4)))) (/ (* (- (/ n0_i u) (/ n0_i (pow u 2))) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (pow normAngle 6))))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (/ (* n1_i u) (pow normAngle 2)))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (+ (/ (* n1_i u) (pow normAngle 2)) (/ (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 3)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 4)))) (/ (* (- (/ n0_i u) (/ n0_i (pow u 2))) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (pow normAngle 6))))))) |
(+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u)) |
(+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))))) (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n1_i u))) |
(+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (+ (* n0_i (+ (* -1 (* n0_i (* (pow u 3) (- (* -6 (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* n1_i (* (pow normAngle 2) (pow u 2))))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) (- (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))) (* n1_i (pow normAngle 2)))) (* -3/2 (/ (pow normAngle 2) n1_i))))))) (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))))) (* n1_i u))) |
(+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (+ (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))) (* n0_i (+ (* -1 (* (pow u 3) (- (* -6 (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* n1_i (* (pow normAngle 2) (pow u 2))))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) (- (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))) (* n1_i (pow normAngle 2)))) (* -3/2 (/ (pow normAngle 2) n1_i)))))) (* n0_i (* (pow u 3) (+ (* -9 (/ (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))) (pow n1_i 2))) (* -6 (/ (* u (* (- (* -6 (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* n1_i (* (pow normAngle 2) (pow u 2))))) (* -6 (/ (* u (* (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) (- (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))) (* n1_i (pow normAngle 2))))) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))) (* n1_i (pow normAngle 2))))))))))) (* n1_i u))) |
(* -1 (* n0_i (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))))))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (+ (* -1 (/ (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) n0_i)) (/ (* n1_i u) n0_i)))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/144 (/ (* (pow n1_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 3))))))) (pow n0_i 2))) (+ (* -1 (/ (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) n0_i)) (/ (* n1_i u) n0_i))))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/144 (/ (* (pow n1_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 3))))))) (pow n0_i 2))) (+ (* -1 (/ (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) n0_i)) (+ (/ (* n1_i u) n0_i) (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/864 (/ (* (pow n1_i 3) (pow normAngle 10)) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 4)))))) (pow n0_i 3))))))) |
(* n0_i (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))))))) (* n1_i u)) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))))))) (+ (* n1_i u) (/ (* (pow u 3) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/144 (/ (* (pow n1_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 3))))))) n0_i))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))))))) (+ (* -1 (/ (+ (* -1 (* (pow u 3) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/144 (/ (* (pow n1_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 3)))))))) (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/864 (/ (* (pow n1_i 3) (pow normAngle 10)) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 4)))))) n0_i))) n0_i)) (* n1_i u))) n0_i))))) |
(* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))) |
(+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))))) (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))))) |
(+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))) (+ (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))) (- (/ n0_i u) (/ n0_i (pow u 2))))))))) (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))))))) |
(+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))) (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))) (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))) (+ (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))) (* u (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (- (/ n0_i u) (/ n0_i (pow u 2)))))))))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4)))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (/ (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 3)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 4)))) (/ (* (- (/ n0_i u) (/ n0_i (pow u 2))) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (pow normAngle 6)))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4)))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (/ (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 3)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 4)))) (/ (* (- (/ n0_i u) (/ n0_i (pow u 2))) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (pow normAngle 6)))))) |
(* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) |
(+ (* -1 (* n1_i (* (pow u 3) (- (+ (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/6 (pow normAngle 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))) (* 1/24 (/ (* (pow n0_i 2) (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2))))))))) (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))))))) |
(+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) (* n1_i (+ (* -1 (* n1_i (* (pow u 3) (- (* 1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/144 (/ (* (pow n0_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 3))))))))) (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/6 (pow normAngle 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))) (* 1/24 (/ (* (pow n0_i 2) (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2))))))))))) |
(+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) (* n1_i (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/6 (pow normAngle 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))) (* 1/24 (/ (* (pow n0_i 2) (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))))) (* n1_i (+ (* -1 (* (pow u 3) (- (* 1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/144 (/ (* (pow n0_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 3)))))))) (* n1_i (* (pow u 3) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* 1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (- (* -1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/864 (/ (* (pow n0_i 2) (pow normAngle 10)) (* (pow u 4) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 4)))))))))))) |
(* -1 (* n1_i (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i)))) |
(* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (* -1 (/ (* (pow u 3) (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2))) (* -3/2 (* (pow n0_i 2) (pow normAngle 2)))))) (pow n1_i 2))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i))))) |
(* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (* -1 (/ (* (pow u 3) (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2))) (* -3/2 (* (pow n0_i 2) (pow normAngle 2)))))) (pow n1_i 2))) (+ (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i)) (/ (* (pow u 3) (+ (* -9 (* (pow n0_i 2) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -6 (/ (* u (* (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2)))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2))))) (pow n1_i 3)))))) |
(* n1_i (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(* -1 (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i)))) |
(* -1 (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (/ (* (pow u 3) (- (* 6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* 3/2 (* (pow n0_i 2) (pow normAngle 2))) (* 6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2)))))) n1_i)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (* 6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* 3/2 (* (pow n0_i 2) (pow normAngle 2))) (* 6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2))))))) (* -1 (/ (* (pow u 3) (+ (* -9 (* (pow n0_i 2) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 6 (/ (* u (* (- (* 6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (* 6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2)))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2))))) n1_i))) n1_i))) n1_i))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(+ (* -1 (* n0_i (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))))) (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n0_i (+ (* -1 (* n0_i (* (pow u 3) (- (* -6 (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* n1_i (* (pow normAngle 2) (pow u 2))))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) (- (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))) (* n1_i (pow normAngle 2)))) (* -3/2 (/ (pow normAngle 2) n1_i))))))) (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))))))) |
(+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))) (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3)))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))) (* n0_i (+ (* -1 (* (pow u 3) (- (* -6 (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* n1_i (* (pow normAngle 2) (pow u 2))))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) (- (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))) (* n1_i (pow normAngle 2)))) (* -3/2 (/ (pow normAngle 2) n1_i)))))) (* n0_i (* (pow u 3) (+ (* -9 (/ (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))) (pow n1_i 2))) (* -6 (/ (* u (* (- (* -6 (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* n1_i (* (pow normAngle 2) (pow u 2))))) (* -6 (/ (* u (* (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) (- (+ (* 2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (/ 1 (pow u 3))) (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* -1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))) (* n1_i (pow normAngle 2))))) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))) (* n1_i (pow normAngle 2)))))))))))) |
(* -1 (* n0_i (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))))))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) n0_i)))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/144 (/ (* (pow n1_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 3))))))) (pow n0_i 2))) (* -1 (/ (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) n0_i))))) |
(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/144 (/ (* (pow n1_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 3))))))) (pow n0_i 2))) (+ (* -1 (/ (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) n0_i)) (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/864 (/ (* (pow n1_i 3) (pow normAngle 10)) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 4)))))) (pow n0_i 3)))))) |
(* n0_i (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (/ (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) n0_i)))) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))))))) (/ (* (pow u 3) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/144 (/ (* (pow n1_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 3))))))) n0_i)) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (* (pow u 3) (- (+ (* 1/6 (pow normAngle 2)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2)))))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/144 (/ (* (pow n1_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 3)))))))) (* -1 (/ (* (pow u 3) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2))) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* 1/864 (/ (* (pow n1_i 3) (pow normAngle 10)) (* (pow u 4) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 4)))))) n0_i))) n0_i))) n0_i))))) |
n0_i |
(+ n0_i (* -1 (* u (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) |
(+ n0_i (* u (+ (* -1 (* u (- (* -1 (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i)) (* -1/2 (* n0_i (pow normAngle 2))))))) (* -1 (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))))) |
(+ n0_i (* u (+ (* -1 (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) (* u (+ (* -1 (* u (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* -1 (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i)) (* -1/2 (* n0_i (pow normAngle 2)))))) n0_i)) (* 1/2 (* (pow normAngle 2) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))))))) (* -1 (- (* -1 (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i)) (* -1/2 (* n0_i (pow normAngle 2))))))))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (* -1/2 (/ (* n0_i (pow normAngle 2)) u)))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (* -1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 3)))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(* -1 (* (pow u 3) (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(* -1 (pow u 3)) |
(* -1 (pow u 3)) |
(* -1 (pow u 3)) |
(* -1 (pow u 3)) |
(* -1 (pow u 3)) |
(* -1 (pow u 3)) |
(* -1 (pow u 3)) |
(* -1 (pow u 3)) |
(* -1 (pow u 3)) |
(* -1 (pow u 3)) |
(* -1 (pow u 3)) |
(* -1 (pow u 3)) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* n1_i u) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/3 n0_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* 1/6 n1_i) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) |
(* 1/3 (* n0_i (pow normAngle 2))) |
(+ (* 1/6 (* n1_i (pow normAngle 2))) (* 1/3 (* n0_i (pow normAngle 2)))) |
(+ (* 1/6 (* n1_i (pow normAngle 2))) (* 1/3 (* n0_i (pow normAngle 2)))) |
(+ (* 1/6 (* n1_i (pow normAngle 2))) (* 1/3 (* n0_i (pow normAngle 2)))) |
(* 1/6 (* n1_i (pow normAngle 2))) |
(* n1_i (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) |
(* n1_i (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) |
(* n1_i (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)))) |
(* 1/6 (* n1_i (pow normAngle 2))) |
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* -1/6 (pow normAngle 2))))) |
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* -1/6 (pow normAngle 2))))) |
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* -1/6 (pow normAngle 2))))) |
(* 1/6 (* n1_i (pow normAngle 2))) |
(+ (* 1/6 (* n1_i (pow normAngle 2))) (* 1/3 (* n0_i (pow normAngle 2)))) |
(+ (* 1/6 (* n1_i (pow normAngle 2))) (* 1/3 (* n0_i (pow normAngle 2)))) |
(+ (* 1/6 (* n1_i (pow normAngle 2))) (* 1/3 (* n0_i (pow normAngle 2)))) |
(* 1/3 (* n0_i (pow normAngle 2))) |
(* n0_i (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/3 (pow normAngle 2)))) |
(* n0_i (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/3 (pow normAngle 2)))) |
(* n0_i (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/3 (pow normAngle 2)))) |
(* 1/3 (* n0_i (pow normAngle 2))) |
(* -1 (* n0_i (+ (* -1/3 (pow normAngle 2)) (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i))))) |
(* -1 (* n0_i (+ (* -1/3 (pow normAngle 2)) (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i))))) |
(* -1 (* n0_i (+ (* -1/3 (pow normAngle 2)) (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_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) (* 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))) |
(* 1/6 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))) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* -1/6 (pow normAngle 2)) |
(* 1/6 (pow normAngle 2)) |
(* 1/6 (pow normAngle 2)) |
(* 1/6 (pow normAngle 2)) |
(* 1/6 (pow normAngle 2)) |
(* 1/6 (pow normAngle 2)) |
(* 1/6 (pow normAngle 2)) |
(* 1/6 (pow normAngle 2)) |
(* 1/6 (pow normAngle 2)) |
(* 1/6 (pow normAngle 2)) |
(* 1/6 (pow normAngle 2)) |
(* 1/6 (pow normAngle 2)) |
(* 1/6 (pow normAngle 2)) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))) |
(* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))) |
(* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))) |
(* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))) |
(* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))) |
(* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))) |
(* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))) |
(* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))) |
(* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))) |
(* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))) |
(* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))) |
(* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))) |
(* 1/6 (pow normAngle 2)) |
(+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) |
(+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) |
(+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2))))) |
(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2))))) |
(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2))))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2))))) |
(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2))))) |
(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2))))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)))) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)))) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i)) |
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))))) |
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))))) |
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i)) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i))))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(/ (* n1_i u) n0_i) |
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(* -1/6 n1_i) |
(* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) |
(+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* n0_i (- (* -2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) u))))) |
(+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* n0_i (- (+ (* -2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (* n0_i (- (* -6 (/ (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (pow u 2))) (* n1_i (pow normAngle 2)))) (* -6 (/ (* u (* (- (* -2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) u))) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))) (* n1_i (pow normAngle 2))))))) (* -1 (/ (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) u))))) |
(+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* n0_i (- (+ (* -2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (* n0_i (- (+ (* -6 (/ (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (pow u 2))) (* n1_i (pow normAngle 2)))) (* 6 (/ (* n0_i (* u (* (- (* -6 (/ (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (pow u 2))) (* n1_i (pow normAngle 2)))) (* -6 (/ (* u (* (- (* -2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) u))) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))) (* n1_i (pow normAngle 2))))) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* n1_i (pow normAngle 2))))) (* -6 (/ (* u (* (- (* -2 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) u))) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))) (* n1_i (pow normAngle 2))))))) (* -1 (/ (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) u))))) |
(/ (* n0_i (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (pow u 2)))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))) |
(* n0_i (- (+ (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* n0_i (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (pow u 2))))) (* n0_i (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))))) |
(* n0_i (- (+ (* -1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow n0_i 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))) (+ (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* n0_i (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (pow u 2))))) (* n0_i (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (pow u 2))))) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) (* (pow n0_i 2) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) |
(* n0_i (- (+ (* -1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow n0_i 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (pow u 2))))) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (* (pow n0_i 3) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))) (+ (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* n0_i (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (pow u 2))))) (* n0_i (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (pow u 2))))) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) (* (pow n0_i 2) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) |
(* -1 (/ (* n0_i (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (pow u 2)))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (pow u 2))))) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))) n0_i)) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (pow u 2))))) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) n0_i)) (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (pow u 2))))) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))) n0_i)) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (pow u 2))))) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))))) (* n0_i (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) (* -1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (pow u 2))))) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))))) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) n0_i)) (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (pow u 2))))) (* (pow u 2) (pow (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)) 2))))) n0_i)) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u)))))) (/ (pow (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1) 2) (* (pow u 3) (- (+ (* 1/3 (/ (pow normAngle 2) u)) (+ (* 1/2 (pow normAngle 2)) (/ 1 (pow u 2)))) (/ 1 u))))))) |
(* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) |
(+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* (pow normAngle 2) (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* -1 (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))))) |
(+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* (pow normAngle 2) (- (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2)))))) (+ (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* -1 (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))))))) (* -1 (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))))) |
(+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* (pow normAngle 2) (- (+ (* -1 (/ (* (pow normAngle 2) (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2)))))) (+ (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* -1 (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))))))) (- (/ n0_i u) (/ n0_i (pow u 2))))) (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2))))))) (+ (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* -1 (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))))))) (* -1 (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))))) |
(/ (* (pow normAngle 2) (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2)))) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) |
(* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))) |
(* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow normAngle 4) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))) (+ (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 4) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) |
(* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (* -1 (/ (* (- (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 6) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow normAngle 4) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 4) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) |
(/ (* (pow normAngle 2) (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2)))) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) |
(* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))) |
(* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow normAngle 4) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))) (+ (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 4) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) |
(* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (* -1 (/ (* (- (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 6) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow normAngle 4) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 4) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) |
(/ n0_i (pow u 3)) |
(/ (+ n0_i (* u (- (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (pow u 3)) |
(/ (+ n0_i (* u (- (+ (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* u (- (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))) n0_i)) (* 1/2 (* n0_i (pow normAngle 2))))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (pow u 3)) |
(/ (+ n0_i (* u (- (+ (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* u (- (+ (* -1 (* u (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))) n0_i)) (* 1/2 (* n0_i (pow normAngle 2)))))) n0_i)) (* 1/2 (* (pow normAngle 2) (- (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))))))) (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))) n0_i)) (* 1/2 (* n0_i (pow normAngle 2))))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (pow u 3)) |
(* -1/2 (/ (* n0_i (pow normAngle 2)) u)) |
(/ (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u) |
(/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n0_i (pow u 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) u))) u) |
(/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n0_i (pow u 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) u))) u) |
(* -1/2 (/ (* n0_i (pow normAngle 2)) u)) |
(* -1 (/ (+ (* 1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) u))) u)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (/ n0_i u)) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (/ n0_i u)) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) |
(/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) |
(- (+ (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* n1_i (- (* 1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2)))) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2))))))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) |
(- (+ (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* n1_i (- (+ (* 1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* n1_i (- (* -1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2)))) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2)))) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2))))))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) |
(- (+ (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* n1_i (- (+ (* 1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* n1_i (- (+ (* -1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/36 (/ (pow normAngle 4) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2)))) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/3 (/ (* (pow normAngle 2) (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u))) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2)))) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2)))))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) (* -1/6 (/ (* (pow normAngle 2) (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2)))) (* (pow u 2) (pow (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) 2))))))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) |
(* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) |
(* n1_i (- (+ (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (* n1_i (pow u 2)))) (* 1/6 (/ (pow normAngle 2) (pow u 2)))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (* n1_i u))))) |
(* n1_i (- (+ (* -6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (* (pow n1_i 2) (pow normAngle 2)))) (+ (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (* n1_i (pow u 2)))) (* 1/6 (/ (pow normAngle 2) (pow u 2))))) (+ (* -6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (* (pow n1_i 2) (pow normAngle 2)))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (* n1_i u)))))) |
(* n1_i (- (+ (* -6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (* (pow n1_i 2) (pow normAngle 2)))) (+ (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (* n1_i (pow u 2)))) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (* 6 (/ (* u (* (- (* -6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (pow normAngle 2))) (* -6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2)))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (* (pow n1_i 3) (pow normAngle 2))))))) (+ (* -6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (* (pow n1_i 2) (pow normAngle 2)))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (* n1_i u)))))) |
(* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) |
(* -1 (* n1_i (+ (* -1 (/ (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) n1_i)) (* -1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(* -1 (* n1_i (+ (* -1 (/ (- (+ (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (* 6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (pow normAngle 2))) (* 6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2)))) n1_i))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) n1_i)) (* -1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(* -1 (* n1_i (+ (* -1 (/ (- (+ (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* 6 (/ (* u (* (- (* 6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (pow normAngle 2))) (* 6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2)))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (* n1_i (pow normAngle 2)))) (* 6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (pow normAngle 2)))) (* 6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2)))) n1_i))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) n1_i)) (* -1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* -1/6 n0_i) |
(* 1/6 n0_i) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(* -1/6 n1_i) |
(* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)) |
(* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)) |
(* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)) |
(* -1/6 n1_i) |
(* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))) |
(* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))) |
(* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))) |
(* -1/6 n1_i) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(* 1/6 n0_i) |
(* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))) |
(* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))) |
(* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))) |
(* 1/6 n0_i) |
(* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))) |
(* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))) |
(* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))) |
(+ (* -1/2 n0_i) (* 1/6 n0_i)) |
(+ (* -1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(+ (* -1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(+ (* -1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(* -1/6 n1_i) |
(* n1_i (- (+ (* -1/2 (/ n0_i n1_i)) (* 1/6 (/ n0_i n1_i))) 1/6)) |
(* n1_i (- (+ (* -1/2 (/ n0_i n1_i)) (* 1/6 (/ n0_i n1_i))) 1/6)) |
(* n1_i (- (+ (* -1/2 (/ n0_i n1_i)) (* 1/6 (/ n0_i n1_i))) 1/6)) |
(* -1/6 n1_i) |
(* -1 (* n1_i (+ 1/6 (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 n0_i)) n1_i))))) |
(* -1 (* n1_i (+ 1/6 (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 n0_i)) n1_i))))) |
(* -1 (* n1_i (+ 1/6 (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 n0_i)) 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) (* -1/6 n1_i)) |
(* -1/3 n0_i) |
(* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)) |
(* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)) |
(* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)) |
(* -1/3 n0_i) |
(* -1 (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))) |
| Outputs |
|---|
(* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) |
(*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) |
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))) |
(+.f32 (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32)))))) |
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))) |
(+.f32 (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32)))))) |
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))) |
(+.f32 (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) (*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32)))))) |
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
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(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32))) (/.f32 (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) n0_i)))) |
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)))) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 u (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32))) (/.f32 (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) n0_i)))) |
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(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1))) |
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n0_i |
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(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)))) |
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(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)))) |
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(+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)))) |
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(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i)) |
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(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
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(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) (* -1 (/ n0_i u))))) |
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(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) (* -1 (/ n0_i u))))) |
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(+.f32 n0_i (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) n0_i)) (*.f32 n1_i (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle))))))) |
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(+ n0_i (+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))) |
(+.f32 n0_i (+.f32 (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) n0_i)) (*.f32 n1_i (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle))))))) |
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) |
(*.f32 n1_i (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle))))) |
(* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)))) |
(*.f32 n1_i (+.f32 (+.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)))) (/.f32 n0_i n1_i)) (/.f32 (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) n0_i)) n1_i))) |
(* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)))) |
(*.f32 n1_i (+.f32 (+.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)))) (/.f32 n0_i n1_i)) (/.f32 (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) n0_i)) n1_i))) |
(* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i)))) |
(*.f32 n1_i (+.f32 (+.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)))) (/.f32 n0_i n1_i)) (/.f32 (*.f32 u (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) n0_i)) n1_i))) |
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(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1))))) |
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(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1))))) |
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(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
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(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))) |
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(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (+.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 (/.f32 u normAngle) (/.f32 (-.f32 n1_i n0_i) normAngle))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (+.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 (/.f32 u normAngle) (/.f32 (-.f32 n1_i n0_i) normAngle))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (+.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 (/.f32 u normAngle) (/.f32 (-.f32 n1_i n0_i) normAngle))))) |
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))) |
(*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (+.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 (/.f32 u normAngle) (/.f32 (-.f32 n1_i n0_i) normAngle))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (+.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 (/.f32 u normAngle) (/.f32 (-.f32 n1_i n0_i) normAngle))))) |
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (+.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 (/.f32 u normAngle) (/.f32 (-.f32 n1_i n0_i) normAngle))))) |
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(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
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(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
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(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
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(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
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(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
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(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
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(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
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(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i))) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
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(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i))) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) |
(*.f32 u (+.f32 n1_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i))) |
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1 |
#s(literal 1 binary32) |
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n0_i |
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n0_i |
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(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
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(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
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(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
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n1_i |
(+ n1_i (* n1_i (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))))) |
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(+ n1_i (* n1_i (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))))) |
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(* n1_i (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2))))) |
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(* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) |
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(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) |
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(*.f32 (*.f32 u u) (+.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) #s(literal -1/6 binary32)) (/.f32 (*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)))) (*.f32 u u)))) |
(* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
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(* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(*.f32 (*.f32 u u) (+.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) #s(literal -1/6 binary32)) (/.f32 (*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)))) (*.f32 u u)))) |
(* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
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1 |
#s(literal 1 binary32) |
(+ 1 (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2))))) |
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(+ 1 (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2))))) |
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(+ 1 (* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2))))) |
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(* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 u u)))) |
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(* (pow normAngle 2) (+ 1/6 (+ (* -1/6 (pow u 2)) (/ 1 (pow normAngle 2))))) |
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(* (pow normAngle 2) (+ 1/6 (+ (* -1/6 (pow u 2)) (/ 1 (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (+ 1/6 (* -1/6 (pow u 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 u u)))) |
(* (pow normAngle 2) (+ 1/6 (+ (* -1/6 (pow u 2)) (/ 1 (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (+ 1/6 (+ (* -1/6 (pow u 2)) (/ 1 (pow normAngle 2))))) |
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(* (pow normAngle 2) (+ 1/6 (+ (* -1/6 (pow u 2)) (/ 1 (pow normAngle 2))))) |
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(+ 1 (* 1/6 (pow normAngle 2))) |
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(+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) |
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(+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) |
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u u)))) |
(+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) |
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u u)))) |
(* -1/6 (* (pow normAngle 2) (pow u 2))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u u)) |
(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
(*.f32 (*.f32 u u) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
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(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
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(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
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(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
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(* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))) |
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(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) |
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(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))) |
(* n0_i (- 1 u)) |
(*.f32 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)) (/ (* n1_i u) n0_i))) u)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (-.f32 (/.f32 (*.f32 u n1_i) n0_i) u)))) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (-.f32 (/.f32 (*.f32 u n1_i) n0_i) u)))) |
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_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)) (* 1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)))))) |
(*.f32 (neg.f32 n0_i) (+.f32 (+.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 u n1_i) n0_i))) (/.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (* n1_i u) n0_i)) (* 1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)))))) |
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(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (* n1_i u) n0_i)) (* 1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)))))) |
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(* n0_i (- 1 u)) |
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(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (/ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (pow normAngle 2)))) |
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n0_i |
(+ n0_i (* n0_i (* u (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1)))) |
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(+ n0_i (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1))))) |
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(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1)) (pow u 2))))) |
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(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
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(- (+ 1 (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) u) |
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(- (+ 1 (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) u) |
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(* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) |
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(* n1_i (- (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 n1_i) (/ u n0_i))) (/ u n1_i))) |
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(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (+ (* -1 (/ (- 1 u) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)))))) |
(*.f32 (neg.f32 n1_i) (+.f32 (+.f32 (neg.f32 (/.f32 u n0_i)) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)) n1_i)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (+ (* -1 (/ (- 1 u) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)))))) |
(*.f32 (neg.f32 n1_i) (+.f32 (+.f32 (neg.f32 (/.f32 u n0_i)) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)) n1_i)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (+ (* -1 (/ (- 1 u) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)))))) |
(*.f32 (neg.f32 n1_i) (+.f32 (+.f32 (neg.f32 (/.f32 u n0_i)) (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)) n1_i)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i))) |
(- (+ 1 (/ (* n1_i u) n0_i)) u) |
(+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 u n1_i) n0_i) u)) |
(- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u) |
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (-.f32 (/.f32 (*.f32 u n1_i) n0_i) u))) |
(- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u) |
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (-.f32 (/.f32 (*.f32 u n1_i) n0_i) u))) |
(- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u) |
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (-.f32 (/.f32 (*.f32 u n1_i) n0_i) u))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) n0_i) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) n0_i))) (/.f32 u (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) n0_i) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) n0_i))) (/.f32 u (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) n0_i) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) n0_i))) (/.f32 u (*.f32 normAngle normAngle))))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) n0_i) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) n0_i))) (/.f32 u (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) n0_i) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) n0_i))) (/.f32 u (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (+ (/ 1 (pow normAngle 2)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) (/ u (pow normAngle 2)))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) n0_i) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) n0_i))) (/.f32 u (*.f32 normAngle normAngle))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* u (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)) 1))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (+.f32 (/.f32 n1_i n0_i) #s(literal -1 binary32))))) |
(+ 1 (* u (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i))) 1))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) n0_i) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (+.f32 (/.f32 n1_i n0_i) #s(literal -1 binary32)))))) |
(+ 1 (* u (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i))) 1))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u u))) n0_i) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (+.f32 (/.f32 n1_i n0_i) #s(literal -1 binary32)))))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i)) |
(/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u)))) n0_i) |
(* (pow u 3) (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2))))) (/ 1 (pow u 2)))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) n0_i)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 n0_i (*.f32 u u)))) (/.f32 n1_i (*.f32 n0_i (*.f32 u u)))) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) |
(* (pow u 3) (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (/ 1 (pow u 3)) (/ n1_i (* n0_i (pow u 2)))))) (/ 1 (pow u 2)))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) n0_i)) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 n0_i (*.f32 u u))) (+.f32 (/.f32 n1_i (*.f32 n0_i (*.f32 u u))) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))))) (/.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(* (pow u 3) (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (/ 1 (pow u 3)) (/ n1_i (* n0_i (pow u 2)))))) (/ 1 (pow u 2)))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) n0_i)) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 n0_i (*.f32 u u))) (+.f32 (/.f32 n1_i (*.f32 n0_i (*.f32 u u))) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))))) (/.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i)) |
(/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u)))) n0_i) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2))))))) |
(*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (/.f32 (neg.f32 n1_i) (*.f32 n0_i (*.f32 u u))) (+.f32 (/.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) #s(literal -1/6 binary32)) (*.f32 n0_i (*.f32 u u))) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))) |
(* -1 (* (pow u 3) (- (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2))))) (/ 1 (pow u 3))))) |
(*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (/.f32 (neg.f32 n1_i) (*.f32 n0_i (*.f32 u u))) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) #s(literal -1/6 binary32)) (*.f32 n0_i (*.f32 u u))) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))))) |
(* -1 (* (pow u 3) (- (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2))))) (/ 1 (pow u 3))))) |
(*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (/.f32 (neg.f32 n1_i) (*.f32 n0_i (*.f32 u u))) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) #s(literal -1/6 binary32)) (*.f32 n0_i (*.f32 u u))) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))))) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u))) n0_i) |
(/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u))) n0_i) |
(/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- 1 u)) (* n1_i u))) n0_i) |
(/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))) n0_i) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u) |
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (-.f32 (/.f32 (*.f32 u n1_i) n0_i) u))) |
(- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u) |
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (-.f32 (/.f32 (*.f32 u n1_i) n0_i) u))) |
(- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i))) u) |
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (-.f32 (/.f32 (*.f32 u n1_i) n0_i) u))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i))) u) |
(+.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 u n1_i)) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) u)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i))) u) |
(+.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 u n1_i)) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) u)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i))) u) |
(+.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 u n1_i)) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) u)) |
(* -1 u) |
(neg.f32 u) |
(- (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) u) |
(-.f32 (*.f32 n1_i (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 u n0_i))) u) |
(- (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) u) |
(-.f32 (*.f32 n1_i (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 u n0_i))) u) |
(- (* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) u) |
(-.f32 (*.f32 n1_i (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 u n0_i))) u) |
(* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) |
(*.f32 n1_i (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 u n0_i))) |
(* n1_i (+ (* -1 (/ u n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) |
(*.f32 n1_i (+.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 u n0_i)) (/.f32 (neg.f32 u) n1_i))) |
(* n1_i (+ (* -1 (/ u n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) |
(*.f32 n1_i (+.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 u n0_i)) (/.f32 (neg.f32 u) n1_i))) |
(* n1_i (+ (* -1 (/ u n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i)))) |
(*.f32 n1_i (+.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 u n0_i)) (/.f32 (neg.f32 u) n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i))))) |
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(* (pow u 3) (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2))))) (/ 1 (pow u 2)))) |
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) n0_i)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 n0_i (*.f32 u u)))) (/.f32 n1_i (*.f32 n0_i (*.f32 u u)))) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) |
(* (pow u 3) (- (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2))))) (/ 1 (pow u 2)))) |
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(* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i)) |
(/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u)))) n0_i) |
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(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ 1 (pow u 2))))))) |
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(* -1 u) |
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(* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) |
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(* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) |
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(* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) |
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(* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) |
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(* n1_i (+ (* -1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i)) (/ u n0_i))) |
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(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i))))) |
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(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* 1/6 (/ (* (pow normAngle 2) (* u (- (pow u 2) 1))) n0_i))))) |
(*.f32 (neg.f32 n1_i) (+.f32 (neg.f32 (/.f32 u n0_i)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i))) |
(/ (* n1_i u) n0_i) |
(/.f32 (*.f32 u n1_i) n0_i) |
(+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) |
(+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 (*.f32 u n1_i) n0_i)) |
(+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) |
(+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 (*.f32 u n1_i) n0_i)) |
(+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (/ (* n1_i u) n0_i)) |
(+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 (*.f32 u n1_i) n0_i)) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) |
(* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) |
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(* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) |
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(* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) n0_i) (/.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) n0_i)))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) |
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) |
(* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) |
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(* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) n0_i) (/.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) n0_i)))) |
(* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)) (/ (* n1_i u) (* n0_i (pow normAngle 2))))) |
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(* u (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i))) |
(*.f32 u (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (/.f32 n1_i n0_i))) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)))) |
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(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)))) |
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(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (/ n1_i n0_i)))) |
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(* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i)) |
(/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u)))) n0_i) |
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2)))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) n0_i)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 n0_i (*.f32 u u)))) (/.f32 n1_i (*.f32 n0_i (*.f32 u u))))) |
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2)))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) n0_i)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 n0_i (*.f32 u u)))) (/.f32 n1_i (*.f32 n0_i (*.f32 u u))))) |
(* (pow u 3) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (/ n1_i (* n0_i (pow u 2)))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) n0_i)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 n0_i (*.f32 u u)))) (/.f32 n1_i (*.f32 n0_i (*.f32 u u))))) |
(* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 3))) n0_i)) |
(/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u)))) n0_i) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)))))) |
(*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (/.f32 (neg.f32 n1_i) (*.f32 n0_i (*.f32 u u))) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (/.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) #s(literal -1/6 binary32)) (*.f32 n0_i (*.f32 u u)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)))))) |
(*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (/.f32 (neg.f32 n1_i) (*.f32 n0_i (*.f32 u u))) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (/.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) #s(literal -1/6 binary32)) (*.f32 n0_i (*.f32 u u)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (* n0_i (pow u 2)))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (* n0_i (pow u 2)))) (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)))))) |
(*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (/.f32 (neg.f32 n1_i) (*.f32 n0_i (*.f32 u u))) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (/.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) #s(literal -1/6 binary32)) (*.f32 n0_i (*.f32 u u)))))) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i) |
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i) |
(/.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i) |
(* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i)) |
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(* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i)) |
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(* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i)) |
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(* -1 (/ (+ (* -1 (* n1_i u)) (* 1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) n0_i)) |
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n0_i |
(+ n0_i (* u (+ n1_i (* -1 (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))))) |
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(+ n0_i (* u (+ n1_i (+ (* -1 (* u (- (* -1 (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i)) (* -1/2 (* n0_i (pow normAngle 2))))))) (* -1 (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))))) |
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(+ n0_i (* u (+ n1_i (+ (* -1 (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) (* u (+ (* -1 (* u (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* -1 (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i)) (* -1/2 (* n0_i (pow normAngle 2)))))) n0_i)) (* 1/2 (* (pow normAngle 2) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))))))) (* -1 (- (* -1 (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i)) (* -1/2 (* n0_i (pow normAngle 2)))))))))))) |
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(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(*.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle normAngle)) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (* -1/2 (/ (* n0_i (pow normAngle 2)) u)))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (neg.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u)))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (/ n1_i (pow u 2)))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (neg.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))))) (+.f32 (neg.f32 (/.f32 (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) (*.f32 u u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u)) (/.f32 n1_i (*.f32 u u)))))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (neg.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))))) (+.f32 (neg.f32 (/.f32 (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) (*.f32 u u))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u)) (+.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (/.f32 n1_i (*.f32 u u))))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(*.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle normAngle)) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))))) |
(* -1 (* (pow u 3) (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (- (* -1 (/ (- (* -1 n1_i) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (*.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 n1_i (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))))) u)) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)))) u))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 n1_i) (* -1 (/ n0_i u))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))) |
(*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (+.f32 n1_i (/.f32 n0_i u))) (*.f32 #s(literal 1 binary32) (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))))) u)) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u)))) |
(* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow u 3) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 1/4 (/ (* (pow n0_i 2) (pow normAngle 4)) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))))))) |
(*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/6 binary32)) (-.f32 (/.f32 (*.f32 (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u))) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (pow.f32 normAngle #s(literal 4 binary32))) (*.f32 u (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u)))))))) |
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(* n1_i (+ u (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))))) |
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(* n1_i (+ u (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i))))) |
(*.f32 n1_i (+.f32 u (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u u)))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/6 binary32)) (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u)) (/.f32 n0_i (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 u u))))))) n1_i)))) |
(* n1_i (+ u (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (* -1 (/ (* (pow u 3) (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2))) (* -3/2 (* (pow n0_i 2) (pow normAngle 2)))))) (pow n1_i 2))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i)))))) |
(*.f32 n1_i (+.f32 (+.f32 u (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u u))))) (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (*.f32 #s(literal -6 binary32) (-.f32 (/.f32 (*.f32 (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u))) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u u))) (/.f32 (*.f32 (*.f32 u (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u)))) (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u)) (/.f32 n0_i (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 u u)))))) (*.f32 normAngle normAngle)))) (*.f32 (*.f32 #s(literal -3/2 binary32) (*.f32 n0_i n0_i)) (*.f32 normAngle normAngle)))) (*.f32 n1_i n1_i))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/6 binary32)) (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u)) (/.f32 n0_i (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 u u))))))) n1_i)))) |
(* n1_i (+ u (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (* -1 (/ (* (pow u 3) (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2))) (* -3/2 (* (pow n0_i 2) (pow normAngle 2)))))) (pow n1_i 2))) (+ (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i)) (/ (* (pow u 3) (+ (* -9 (* (pow n0_i 2) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -6 (/ (* u (* (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2)))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2))))) (pow n1_i 3))))))) |
(*.f32 n1_i (+.f32 u (+.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u u)))) (+.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (*.f32 #s(literal -6 binary32) (-.f32 (/.f32 (*.f32 (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u))) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u u))) (/.f32 (*.f32 (*.f32 u (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u)))) (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u)) (/.f32 n0_i (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 u u)))))) (*.f32 normAngle normAngle)))) (*.f32 (*.f32 #s(literal -3/2 binary32) (*.f32 n0_i n0_i)) (*.f32 normAngle normAngle)))) (*.f32 n1_i n1_i))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/6 binary32)) (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u)) (/.f32 n0_i (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 u u))))))) n1_i)) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal -9 binary32) (*.f32 (*.f32 (*.f32 n0_i n0_i) u) (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 #s(literal -6 binary32) (*.f32 u (*.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) (*.f32 #s(literal -6 binary32) (-.f32 (/.f32 (*.f32 (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u))) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u u))) (/.f32 (*.f32 (*.f32 u (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u)))) (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u)) (/.f32 n0_i (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 u u)))))) (*.f32 normAngle normAngle))))))) (*.f32 normAngle normAngle)))) (*.f32 n1_i (*.f32 n1_i n1_i))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2))))))))) |
(*.f32 (neg.f32 n1_i) (-.f32 (neg.f32 u) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i))))) |
(*.f32 (neg.f32 n1_i) (+.f32 (-.f32 (neg.f32 u) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u))))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/6 binary32)) (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u)) (/.f32 n0_i (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 u u))))))) n1_i))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (/ (* (pow u 3) (- (* 6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* 3/2 (* (pow n0_i 2) (pow normAngle 2))) (* 6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2)))))) n1_i)) n1_i)))))) |
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(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (* -1 (/ (+ (* -1 (* (pow u 3) (- (* 6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* 3/2 (* (pow n0_i 2) (pow normAngle 2))) (* 6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2))))))) (* -1 (/ (* (pow u 3) (+ (* -9 (* (pow n0_i 2) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* 6 (/ (* u (* (- (* 6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (* 6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2)))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2))))) n1_i))) n1_i))) n1_i)))))) |
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(+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))) (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))) (+ (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))) (* u (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (- (/ n0_i u) (/ n0_i (pow u 2))))))))))))) |
(+.f32 (+.f32 (*.f32 u n1_i) (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u)))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (-.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))))) (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u)))))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (-.f32 (-.f32 (*.f32 (/.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 u (*.f32 u u))) (/.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (*.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) (/.f32 (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))))) (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u)))))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u))) (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 (*.f32 n0_i n0_i) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))) (*.f32 u (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))))) (/.f32 (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (-.f32 (*.f32 (/.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 u (*.f32 u u))) (/.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))))) (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u)))))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))))))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))))) |
(neg.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u)))))) (*.f32 normAngle normAngle))) (/.f32 (*.f32 u n1_i) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (/ (* n1_i u) (pow normAngle 2)))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (+.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u)))))) (*.f32 normAngle normAngle))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))))) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u))))) (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (pow.f32 normAngle #s(literal 4 binary32)))) (/.f32 (*.f32 u n1_i) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (+ (/ (* n1_i u) (pow normAngle 2)) (/ (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 3)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 4)))) (/ (* (- (/ n0_i u) (/ n0_i (pow u 2))) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (pow normAngle 6))))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u)))))) (*.f32 normAngle normAngle))) (+.f32 (+.f32 (/.f32 (*.f32 u n1_i) (*.f32 normAngle normAngle)) (neg.f32 (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))))) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u))))) (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (pow.f32 normAngle #s(literal 4 binary32))))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))))) (*.f32 u (pow.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) #s(literal 4 binary32)))) (/.f32 (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u))))) (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (pow.f32 normAngle #s(literal 6 binary32)))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))))) |
(neg.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u)))))) (*.f32 normAngle normAngle))) (/.f32 (*.f32 u n1_i) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (/ (* n1_i u) (pow normAngle 2)))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (+.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u)))))) (*.f32 normAngle normAngle))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))))) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u))))) (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (pow.f32 normAngle #s(literal 4 binary32)))) (/.f32 (*.f32 u n1_i) (*.f32 normAngle normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (+ (/ (* n1_i u) (pow normAngle 2)) (/ (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 3)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 4)))) (/ (* (- (/ n0_i u) (/ n0_i (pow u 2))) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (pow normAngle 6))))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 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(* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))) |
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(+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))))) (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))))) |
(-.f32 (neg.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u))) (-.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))))) (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))))))) (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) |
(+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* (pow u 3) (- (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))) (+ (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))) (- (/ n0_i u) (/ n0_i (pow u 2))))))))) (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))))))) |
(+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u)))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))) (*.f32 (*.f32 normAngle normAngle) (-.f32 (neg.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u))) (-.f32 (-.f32 (*.f32 (/.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 u (*.f32 u u))) (/.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (*.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) (/.f32 (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))))) (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u)))))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))))) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))))) (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))))))))) |
(+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (- (/ n0_i u) (/ n0_i (pow u 2))))) (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))) (* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))) (+ (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))) (- (/ n0_i u) (/ n0_i (pow u 2)))))))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))) (* u (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (- (/ n0_i u) (/ n0_i (pow u 2)))))))))))) |
(+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u)))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (-.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))))) (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u)))))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (-.f32 (-.f32 (*.f32 (/.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 u (*.f32 u u))) (/.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (*.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) (/.f32 (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))))) (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u)))))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u))) (+.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 (*.f32 n0_i n0_i) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))) (*.f32 u (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))))) (/.f32 (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (-.f32 (*.f32 (/.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 u (*.f32 u u))) (/.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (-.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))))) (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u)))))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))))))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))))) |
(neg.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u)))))) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4)))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u)))))) (*.f32 normAngle normAngle))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))))) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u))))) (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (pow.f32 normAngle #s(literal 4 binary32)))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (/ (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 3)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 4)))) (/ (* (- (/ n0_i u) (/ n0_i (pow u 2))) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (pow normAngle 6)))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (+.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u)))))) (*.f32 normAngle normAngle))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))))) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u))))) (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (pow.f32 normAngle #s(literal 4 binary32)))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))))) (*.f32 u (pow.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) #s(literal 4 binary32)))) (/.f32 (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u))))) (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (pow.f32 normAngle #s(literal 6 binary32)))))) |
(* -1 (* (pow normAngle 2) (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))))) |
(neg.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u)))))) (*.f32 normAngle normAngle)))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4)))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u)))))) (*.f32 normAngle normAngle))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 n0_i n0_i) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))))) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u (*.f32 u u))))) (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (pow.f32 normAngle #s(literal 4 binary32)))))) |
(* (pow normAngle 2) (+ (* -1 (* (pow u 3) (- (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/4 (/ (* (pow n0_i 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))))) (pow normAngle 2))) (+ (* -1 (/ (* (pow u 3) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (* 1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 3)))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (pow normAngle 4))) (/ (* (pow u 3) (+ (* -1/4 (/ (* (pow n0_i 2) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 3)) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 4)))) (/ (* (- (/ n0_i u) (/ n0_i (pow u 2))) (- (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (/ (* (- (* 2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow u 3) (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (pow normAngle 6)))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (*.f32 #s(literal -1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (+.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal 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(* -1 (* n1_i (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
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(* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i)))) |
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(* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (* -1 (/ (* (pow u 3) (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2))) (* -3/2 (* (pow n0_i 2) (pow normAngle 2)))))) (pow n1_i 2))) (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i))))) |
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(* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (* -1 (/ (* (pow u 3) (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (+ (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2))) (* -3/2 (* (pow n0_i 2) (pow normAngle 2)))))) (pow n1_i 2))) (+ (* -1 (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i)) (/ (* (pow u 3) (+ (* -9 (* (pow n0_i 2) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2)))))) (* -6 (/ (* u (* (- (* -6 (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (* (pow normAngle 2) (pow u 2)))) (* -6 (/ (* u (* (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (- (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2))))))) (pow normAngle 2)))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2))))) (pow n1_i 3)))))) |
(*.f32 n1_i (+.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u u)))) (+.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (*.f32 #s(literal -6 binary32) (-.f32 (/.f32 (*.f32 (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u))) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u u))) (/.f32 (*.f32 (*.f32 u (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u)))) (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u)) (/.f32 n0_i (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 u u)))))) (*.f32 normAngle normAngle)))) (*.f32 (*.f32 #s(literal -3/2 binary32) (*.f32 n0_i n0_i)) (*.f32 normAngle normAngle)))) (*.f32 n1_i n1_i))) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/6 binary32)) (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u)) (/.f32 n0_i (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 u u))))))) n1_i)) (/.f32 (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 #s(literal -9 binary32) (*.f32 (*.f32 (*.f32 n0_i n0_i) u) (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 #s(literal -6 binary32) (*.f32 u (*.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) (*.f32 #s(literal -6 binary32) (-.f32 (/.f32 (*.f32 (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u))) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u u))) (/.f32 (*.f32 (*.f32 u (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u)))) (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u)) (/.f32 n0_i (*.f32 u u))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (*.f32 u u)))))) (*.f32 normAngle normAngle))))))) (*.f32 normAngle normAngle)))) (*.f32 n1_i (*.f32 n1_i n1_i)))))) |
(* n1_i (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(*.f32 (*.f32 n1_i (*.f32 u (*.f32 u u))) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)))) |
(* -1 (* n1_i (+ (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) (pow u 2)))))) (/ (* (pow u 3) (- (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (/ n0_i (pow u 3)))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (/ n0_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) (pow u 2)))))) n1_i)))) |
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(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (* -1 (/ (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) n0_i)))) |
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(* n0_i (+ (* -1 (* (pow u 3) (- (+ (* -1/6 (pow normAngle 2)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (+ (* -1 (/ (* (pow u 3) (- (* 1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/144 (/ (* (pow n1_i 2) (pow normAngle 8)) (* (pow u 3) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 3))))))) (pow n0_i 2))) (* -1 (/ (* (pow u 3) (- (+ (* -1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/6 (* n1_i (pow normAngle 2)))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2))) (* (pow u 4) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2)))) (* 1/24 (/ (* n1_i (pow normAngle 6)) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) n0_i))))) |
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n0_i |
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(+ n0_i (* u (+ (* -1 (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) (* u (+ (* -1 (* u (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* -1 (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i)) (* -1/2 (* n0_i (pow normAngle 2)))))) n0_i)) (* 1/2 (* (pow normAngle 2) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))))))) (* -1 (- (* -1 (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* 2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) n0_i)) (* -1/2 (* n0_i (pow normAngle 2))))))))))) |
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(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(*.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle normAngle)) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (* -1/2 (/ (* n0_i (pow normAngle 2)) u)))) |
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (neg.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u)))) |
(* (pow u 3) (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (pow u 2))) (* -1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
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(* n0_i (- (+ (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* n0_i (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (pow u 2))))) (* n0_i (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))))) |
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(* n0_i (- (+ (* -1/36 (/ (* (pow n1_i 2) (pow normAngle 4)) (* (pow n0_i 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))) (+ (* 1/4 (/ (pow normAngle 4) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* n0_i (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (pow u 2))))) (* n0_i (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/3 (/ (* n1_i (* (pow normAngle 2) (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)))) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2)))))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (* 1/4 (pow normAngle 4)) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (pow u 2))))) (* (pow u 2) (pow (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))) 2))))))) (* (pow n0_i 2) (* u (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))) (/ (pow (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) 2) (* (pow u 3) (- (+ (* -1/2 (pow normAngle 2)) (+ (* -1/3 (/ (pow normAngle 2) u)) (/ 1 u))) (/ 1 (pow u 2))))))))) |
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(+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) #s(literal -2 binary32)) (-.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (+.f32 (*.f32 (/.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 u (*.f32 u u))) (/.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (*.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) #s(literal -2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))))))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))))) (neg.f32 (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))))))))) |
(+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* (pow normAngle 2) (- (+ (* -1 (/ (* (pow normAngle 2) (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2)))))) (+ (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* -1 (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))))))) (- (/ n0_i u) (/ n0_i (pow u 2))))) (* 1/4 (/ (pow n0_i 2) (* u (- (/ n0_i u) (/ n0_i (pow u 2))))))) (+ (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2)))))) (* -1 (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2)))))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (- (/ n0_i u) (/ n0_i (pow u 2))))))))) (* -1 (/ (* (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) (pow (- n0_i (/ n0_i u)) 2)) (* (pow u 3) (pow (- (/ n0_i u) (/ n0_i (pow u 2))) 2))))))) |
(+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) #s(literal -2 binary32)) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))) (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (+.f32 (*.f32 (/.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 u (*.f32 u u))) (/.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (*.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) #s(literal -2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))))))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (*.f32 n0_i n0_i) u) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (+.f32 (*.f32 (/.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 u (*.f32 u u))) (/.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (*.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))) #s(literal -2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))))))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u)))))))) (neg.f32 (*.f32 (/.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))))) (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))))))))) |
(/ (* (pow normAngle 2) (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2)))) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) |
(*.f32 (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u u))) (*.f32 u (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) |
(* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (*.f32 u (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 u (*.f32 normAngle normAngle))) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))))) |
(* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow normAngle 4) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))) (+ (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 4) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (*.f32 u (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (/.f32 #s(literal -1 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (+.f32 (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 u (*.f32 normAngle normAngle))) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u u)))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))))) |
(* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (* -1 (/ (* (- (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 6) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow normAngle 4) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 4) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (-.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (*.f32 u (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (/.f32 #s(literal -1 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u u)))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))))) (+.f32 (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 u (*.f32 normAngle normAngle))) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u u)))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))))))) |
(/ (* (pow normAngle 2) (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2)))) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) |
(*.f32 (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u u))) (*.f32 u (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) |
(* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (*.f32 u (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 u (*.f32 normAngle normAngle))) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))))) |
(* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow normAngle 4) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))))) (+ (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 4) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) |
(*.f32 (*.f32 normAngle normAngle) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (*.f32 u (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (/.f32 #s(literal -1 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (+.f32 (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 u (*.f32 normAngle normAngle))) (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u u))) (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u u)))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))))) |
(* (pow normAngle 2) (- (+ (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (+ (* -1 (/ (* (- (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 6) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (+ (* -1 (/ (pow (- n0_i (/ n0_i u)) 2) (* (pow normAngle 4) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))) (* 1/4 (/ (pow n0_i 2) (* u (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) (+ (/ (* (- (* -2 (/ (* (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) (- n0_i (/ n0_i u))) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u))))))) (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 4) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))) (+ (/ (* (- (* 1/4 (pow n0_i 2)) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (pow u 2))) (- (/ n0_i u) (/ n0_i (pow u 2)))) (* (pow normAngle 2) (* u (pow (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))) 2)))) (/ (pow (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))) 2) (* (pow u 3) (+ (* -1/2 n0_i) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ (- n1_i n0_i) u)))))))))) |
(*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (-.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (*.f32 u (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (/.f32 #s(literal -1 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (*.f32 (-.f32 n0_i (/.f32 n0_i u)) (-.f32 n0_i (/.f32 n0_i u))) (*.f32 u (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (-.f32 n0_i (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))) (/.f32 (*.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (/.f32 (*.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 u u)))) (*.f32 u (*.f32 (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u)))))) (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))) (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 n0_i (*.f32 u u))) (*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (+.f32 (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)) (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u))))))) (+.f32 (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 n0_i 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(/ n0_i (pow u 3)) |
(/.f32 n0_i (*.f32 u (*.f32 u u))) |
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(/ (+ n0_i (* u (- (+ (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* u (- (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))) n0_i)) (* 1/2 (* n0_i (pow normAngle 2))))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (pow u 3)) |
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(/ (+ n0_i (* u (- (+ (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* u (- (+ (* -1 (* u (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))) n0_i)) (* 1/2 (* n0_i (pow normAngle 2)))))) n0_i)) (* 1/2 (* (pow normAngle 2) (- (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))))))) (/ (pow (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) 2) n0_i)) (+ (* -1 (/ (* (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) (- (* -2 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))) n0_i)) (* 1/2 (* n0_i (pow normAngle 2))))))) (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (pow u 3)) |
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(* -1/2 (/ (* n0_i (pow normAngle 2)) u)) |
(*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u)) |
(/ (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u) |
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(/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n0_i (pow u 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) u))) u) |
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(/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n0_i (pow u 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) u))) u) |
(/.f32 (-.f32 (-.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i (*.f32 u u))) (/.f32 n0_i u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) u)) u) |
(* -1/2 (/ (* n0_i (pow normAngle 2)) u)) |
(*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u)) |
(* -1 (/ (+ (* 1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) u))) u)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (/ n0_i u)) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) |
(neg.f32 (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) (neg.f32 (/.f32 (+.f32 (/.f32 n0_i u) (neg.f32 (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))))) u))) u)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))) (/ n0_i u)) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) |
(neg.f32 (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) (neg.f32 (/.f32 (+.f32 (/.f32 n0_i u) (neg.f32 (+.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))))) u))) u)) |
(/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) |
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(/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))))) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u))) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u))) (*.f32 (*.f32 u u) (*.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))))))))))) (*.f32 u (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u)))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u))) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u))) (*.f32 (*.f32 u u) (*.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))))))))))) (/.f32 (*.f32 (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u))) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))))))) |
(* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) |
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 u u)) |
(* n1_i (- (+ (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (* n1_i (pow u 2)))) (* 1/6 (/ (pow normAngle 2) (pow u 2)))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (* n1_i u))))) |
(*.f32 n1_i (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 n1_i (*.f32 u u))) (-.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (neg.f32 (/.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) (*.f32 u n1_i)))))) |
(* n1_i (- (+ (* -6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (* (pow n1_i 2) (pow normAngle 2)))) (+ (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (* n1_i (pow u 2)))) (* 1/6 (/ (pow normAngle 2) (pow u 2))))) (+ (* -6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (* (pow n1_i 2) (pow normAngle 2)))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (* n1_i u)))))) |
(*.f32 n1_i (-.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 n1_i (*.f32 u u)))) (/.f32 (*.f32 #s(literal -6 binary32) (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u))) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i n1_i)))) (-.f32 (/.f32 (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 u (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) u)))) (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i n1_i))) (/.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) (*.f32 u n1_i))))) |
(* n1_i (- (+ (* -6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (* (pow n1_i 2) (pow normAngle 2)))) (+ (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (* n1_i (pow u 2)))) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (* 6 (/ (* u (* (- (* -6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (pow normAngle 2))) (* -6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2)))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (* (pow n1_i 3) (pow normAngle 2))))))) (+ (* -6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (* (pow n1_i 2) (pow normAngle 2)))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) (* n1_i u)))))) |
(*.f32 n1_i (-.f32 (+.f32 (/.f32 (*.f32 #s(literal -6 binary32) (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u))) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i n1_i))) (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 n1_i (*.f32 u u)))) (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 u (*.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) (*.f32 #s(literal -6 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u))) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u))) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 u (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) u)))) (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u)))) (*.f32 normAngle normAngle))))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i (*.f32 n1_i n1_i)))))) (-.f32 (/.f32 (*.f32 #s(literal -6 binary32) (*.f32 (*.f32 u (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) u)))) (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i n1_i))) (/.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) (*.f32 u n1_i))))) |
(* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) |
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 u u)) |
(* -1 (* n1_i (+ (* -1 (/ (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) n1_i)) (* -1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(*.f32 (neg.f32 n1_i) (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u u)) (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) u))) n1_i)))) |
(* -1 (* n1_i (+ (* -1 (/ (- (+ (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (* 6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (pow normAngle 2))) (* 6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2)))) n1_i))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) n1_i)) (* -1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(*.f32 (neg.f32 n1_i) (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u u)) (neg.f32 (/.f32 (+.f32 (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (/.f32 (*.f32 #s(literal 6 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u))) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u))) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 u (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) u)))) (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u)))) (*.f32 normAngle normAngle)))) n1_i)) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) u))) n1_i)))) |
(* -1 (* n1_i (+ (* -1 (/ (- (+ (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* 6 (/ (* u (* (- (* 6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (pow normAngle 2))) (* 6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2)))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (* n1_i (pow normAngle 2)))) (* 6 (/ (- (* 1/4 (* (pow n0_i 2) (pow normAngle 4))) (/ (pow (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) 2) (pow u 2))) (pow normAngle 2)))) (* 6 (/ (* u (* (- (* -2 (/ (- (+ n0_i (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i)))) (/ n0_i u)) (pow u 2))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))))) (pow normAngle 2)))) n1_i))) (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i u) (/ (* (pow normAngle 2) (+ (* -1/2 n0_i) (* 1/6 n0_i))) u))) (/ n0_i (pow u 2))) u))) n1_i)) (* -1/6 (/ (pow normAngle 2) (pow u 2)))))) |
(*.f32 (neg.f32 n1_i) (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 u u)) (neg.f32 (/.f32 (+.f32 (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 u (*.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) (*.f32 #s(literal 6 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u))) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u))) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 u (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) u)))) (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u)))) (*.f32 normAngle normAngle))))))) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 #s(literal 6 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u))) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u))) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 u (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/3 binary32))) (/.f32 n0_i u)))) (*.f32 u u)) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) u)))) (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u)))) (*.f32 normAngle normAngle))))) n1_i)) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) u))) (/.f32 n0_i (*.f32 u u))) u))) n1_i)))) |
(* -1/6 n0_i) |
(*.f32 n0_i #s(literal -1/6 binary32)) |
(* -1/6 n0_i) |
(*.f32 n0_i #s(literal -1/6 binary32)) |
(* -1/6 n0_i) |
(*.f32 n0_i #s(literal -1/6 binary32)) |
(* -1/6 n0_i) |
(*.f32 n0_i #s(literal -1/6 binary32)) |
(* -1/6 n0_i) |
(*.f32 n0_i #s(literal -1/6 binary32)) |
(* -1/6 n0_i) |
(*.f32 n0_i #s(literal -1/6 binary32)) |
(* -1/6 n0_i) |
(*.f32 n0_i #s(literal -1/6 binary32)) |
(* -1/6 n0_i) |
(*.f32 n0_i #s(literal -1/6 binary32)) |
(* -1/6 n0_i) |
(*.f32 n0_i #s(literal -1/6 binary32)) |
(* -1/6 n0_i) |
(*.f32 n0_i #s(literal -1/6 binary32)) |
(* -1/6 n0_i) |
(*.f32 n0_i #s(literal -1/6 binary32)) |
(* -1/6 n0_i) |
(*.f32 n0_i #s(literal -1/6 binary32)) |
(* 1/6 n0_i) |
(*.f32 #s(literal 1/6 binary32) n0_i) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(+.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 n1_i #s(literal -1/6 binary32))) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(+.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 n1_i #s(literal -1/6 binary32))) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(+.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 n1_i #s(literal -1/6 binary32))) |
(* -1/6 n1_i) |
(*.f32 n1_i #s(literal -1/6 binary32)) |
(* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)) |
(*.f32 n1_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) n0_i) n1_i) #s(literal -1/6 binary32))) |
(* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)) |
(*.f32 n1_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) n0_i) n1_i) #s(literal -1/6 binary32))) |
(* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)) |
(*.f32 n1_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) n0_i) n1_i) #s(literal -1/6 binary32))) |
(* -1/6 n1_i) |
(*.f32 n1_i #s(literal -1/6 binary32)) |
(* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))) |
(*.f32 (neg.f32 n1_i) (+.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i #s(literal -1/6 binary32)) n1_i))) |
(* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))) |
(*.f32 (neg.f32 n1_i) (+.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i #s(literal -1/6 binary32)) n1_i))) |
(* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))) |
(*.f32 (neg.f32 n1_i) (+.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i #s(literal -1/6 binary32)) n1_i))) |
(* -1/6 n1_i) |
(*.f32 n1_i #s(literal -1/6 binary32)) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(+.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 n1_i #s(literal -1/6 binary32))) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(+.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 n1_i #s(literal -1/6 binary32))) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(+.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 n1_i #s(literal -1/6 binary32))) |
(* 1/6 n0_i) |
(*.f32 #s(literal 1/6 binary32) n0_i) |
(* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))) |
(*.f32 n0_i (+.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n1_i #s(literal -1/6 binary32)) n0_i))) |
(* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))) |
(*.f32 n0_i (+.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n1_i #s(literal -1/6 binary32)) n0_i))) |
(* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))) |
(*.f32 n0_i (+.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n1_i #s(literal -1/6 binary32)) n0_i))) |
(* 1/6 n0_i) |
(*.f32 #s(literal 1/6 binary32) n0_i) |
(* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))) |
(*.f32 (neg.f32 n0_i) (+.f32 (/.f32 (*.f32 n1_i #s(literal 1/6 binary32)) n0_i) #s(literal -1/6 binary32))) |
(* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))) |
(*.f32 (neg.f32 n0_i) (+.f32 (/.f32 (*.f32 n1_i #s(literal 1/6 binary32)) n0_i) #s(literal -1/6 binary32))) |
(* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))) |
(*.f32 (neg.f32 n0_i) (+.f32 (/.f32 (*.f32 n1_i #s(literal 1/6 binary32)) n0_i) #s(literal -1/6 binary32))) |
(+ (* -1/2 n0_i) (* 1/6 n0_i)) |
(*.f32 n0_i #s(literal -1/3 binary32)) |
(+ (* -1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 n1_i #s(literal -1/6 binary32)))) |
(+ (* -1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 n1_i #s(literal -1/6 binary32)))) |
(+ (* -1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (+.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 n1_i #s(literal -1/6 binary32)))) |
(* -1/6 n1_i) |
(*.f32 n1_i #s(literal -1/6 binary32)) |
(* n1_i (- (+ (* -1/2 (/ n0_i n1_i)) (* 1/6 (/ n0_i n1_i))) 1/6)) |
(*.f32 n1_i (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) n1_i) #s(literal -1/6 binary32))) |
(* n1_i (- (+ (* -1/2 (/ n0_i n1_i)) (* 1/6 (/ n0_i n1_i))) 1/6)) |
(*.f32 n1_i (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) n1_i) #s(literal -1/6 binary32))) |
(* n1_i (- (+ (* -1/2 (/ n0_i n1_i)) (* 1/6 (/ n0_i n1_i))) 1/6)) |
(*.f32 n1_i (+.f32 (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) n1_i) #s(literal -1/6 binary32))) |
(* -1/6 n1_i) |
(*.f32 n1_i #s(literal -1/6 binary32)) |
(* -1 (* n1_i (+ 1/6 (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 n0_i)) n1_i))))) |
(*.f32 (neg.f32 n1_i) (+.f32 #s(literal 1/6 binary32) (neg.f32 (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) n1_i)))) |
(* -1 (* n1_i (+ 1/6 (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 n0_i)) n1_i))))) |
(*.f32 (neg.f32 n1_i) (+.f32 #s(literal 1/6 binary32) (neg.f32 (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) n1_i)))) |
(* -1 (* n1_i (+ 1/6 (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 n0_i)) n1_i))))) |
(*.f32 (neg.f32 n1_i) (+.f32 #s(literal 1/6 binary32) (neg.f32 (/.f32 (*.f32 n0_i #s(literal -1/3 binary32)) n1_i)))) |
(* -1/6 n1_i) |
(*.f32 n1_i #s(literal -1/6 binary32)) |
(+ (* -1/3 n0_i) (* -1/6 n1_i)) |
(+.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) |
(+ (* -1/3 n0_i) (* -1/6 n1_i)) |
(+.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) |
(+ (* -1/3 n0_i) (* -1/6 n1_i)) |
(+.f32 (*.f32 n0_i #s(literal -1/3 binary32)) (*.f32 n1_i #s(literal -1/6 binary32))) |
(* -1/3 n0_i) |
(*.f32 n0_i #s(literal -1/3 binary32)) |
(* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)) |
(*.f32 n0_i (+.f32 (/.f32 (*.f32 n1_i #s(literal -1/6 binary32)) n0_i) #s(literal -1/3 binary32))) |
(* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)) |
(*.f32 n0_i (+.f32 (/.f32 (*.f32 n1_i #s(literal -1/6 binary32)) n0_i) #s(literal -1/3 binary32))) |
(* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)) |
(*.f32 n0_i (+.f32 (/.f32 (*.f32 n1_i #s(literal -1/6 binary32)) n0_i) #s(literal -1/3 binary32))) |
(* -1/3 n0_i) |
(*.f32 n0_i #s(literal -1/3 binary32)) |
(* -1 (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))) |
(neg.f32 (*.f32 n0_i (+.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 n1_i #s(literal 1/6 binary32)) n0_i)))) |
(* -1 (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))) |
(neg.f32 (*.f32 n0_i (+.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 n1_i #s(literal 1/6 binary32)) n0_i)))) |
(* -1 (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))) |
(neg.f32 (*.f32 n0_i (+.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 n1_i #s(literal 1/6 binary32)) n0_i)))) |
Compiled 139501 to 5433 computations (96.1% saved)
39 alts after pruning (35 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1806 | 16 | 1822 |
| Fresh | 6 | 19 | 25 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1816 | 39 | 1855 |
| Status | Accuracy | Program |
|---|---|---|
| 75.1% | (/.f32 (+.f32 (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle)) n0_i) (*.f32 (*.f32 u (+.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u)))) n1_i)) (sin.f32 normAngle)) | |
| 74.7% | (/.f32 (+.f32 (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle)) n0_i) (*.f32 (*.f32 u normAngle) n1_i)) (sin.f32 normAngle)) | |
| 74.6% | (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 u (*.f32 normAngle n1_i))) (sin.f32 normAngle)) | |
| 37.1% | (/.f32 (*.f32 u n1_i) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) | |
| 72.8% | (/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))) (sin.f32 normAngle)) | |
| 97.2% | (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i)) | |
| 96.6% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32))))))) n0_i) (*.f32 u n1_i)) | |
| 98.4% | (+.f32 (*.f32 u n1_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 98.4% | (+.f32 (*.f32 u n1_i) (+.f32 n0_i (*.f32 u (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i)))) | |
| 92.5% | (+.f32 (*.f32 u n1_i) (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle))) (/.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) u) (/.f32 u (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))))))) (*.f32 u (+.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) u))))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))) | |
| 97.2% | (+.f32 (*.f32 u n1_i) (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 u u)) (*.f32 n0_i (+.f32 (*.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32))) (/.f32 #s(literal 1 binary32) u)) (*.f32 u u)) #s(literal -2 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) u)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) u)))))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))) | |
| 80.2% | (+.f32 (*.f32 u n1_i) n0_i) | |
| 98.3% | (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (+.f32 u (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))))) | |
| 62.6% | (+.f32 n0_i (*.f32 (*.f32 u n0_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))))) | |
| 62.5% | (+.f32 n0_i (*.f32 (*.f32 u n0_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32)))) | |
| 62.3% | (+.f32 n0_i (*.f32 (neg.f32 u) n0_i)) | |
| 97.5% | (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) | |
| 98.4% | (+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32)))))) | |
| 97.7% | (+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)))))) | |
| 81.1% | (+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) | |
| 81.2% | (+.f32 n0_i (*.f32 u (*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 u u)))))))) | |
| 36.3% | (*.f32 (*.f32 u (+.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u)))) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))) | |
| 36.4% | (*.f32 (*.f32 u (+.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u)))) (/.f32 n1_i (sin.f32 normAngle))) | |
| 36.0% | (*.f32 (*.f32 u normAngle) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))) | |
| ✓ | 36.4% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))) |
| 36.2% | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32))))))) | |
| 54.7% | (*.f32 (neg.f32 (*.f32 n0_i (*.f32 u (*.f32 u u)))) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))))) | |
| 36.7% | (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) | |
| ✓ | 35.9% | (*.f32 u n1_i) |
| 36.8% | (*.f32 n1_i (+.f32 u (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))))) | |
| 36.7% | (*.f32 n1_i (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle))))) | |
| 36.8% | (*.f32 n0_i (/.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) | |
| ✓ | 62.1% | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
| 97.1% | (*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 u n1_i) n0_i) u))) | |
| 52.8% | (*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (+.f32 (*.f32 n0_i (*.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)))) u) (+.f32 (*.f32 u u) #s(literal -1 binary32)))) (*.f32 n0_i (*.f32 u n1_i))) (/.f32 #s(literal 1 binary32) (*.f32 n0_i n0_i))) u))) | |
| 97.9% | (*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (/.f32 n1_i n0_i))) u))) | |
| 38.5% | (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) n0_i) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) n0_i))) (/.f32 u (*.f32 normAngle normAngle)))))) | |
| 61.8% | (*.f32 n0_i (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) | |
| ✓ | 48.6% | n0_i |
Compiled 3188 to 1091 computations (65.8% saved)
| Inputs |
|---|
n0_i |
(*.f32 u n1_i) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+.f32 (*.f32 u n1_i) n0_i) |
(+.f32 n0_i (*.f32 (neg.f32 u) n0_i)) |
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) |
(*.f32 n0_i (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 u n1_i) n0_i) u))) |
(*.f32 n1_i (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle))))) |
(*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) |
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) |
(+.f32 n0_i (*.f32 (*.f32 u n0_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32)))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32)))))) |
(*.f32 n1_i (+.f32 u (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))))) |
(+.f32 (*.f32 u n1_i) (+.f32 n0_i (*.f32 u (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i)))) |
(+.f32 n0_i (*.f32 u (*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 u u)))))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))))) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (/.f32 n1_i n0_i))) u))) |
(+.f32 (*.f32 u n1_i) (+.f32 n0_i (*.f32 u (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)))) |
(*.f32 n0_i (/.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) |
(+.f32 n0_i (*.f32 u (*.f32 n1_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))))))) |
(+.f32 n0_i (*.f32 (*.f32 u n1_i) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (+.f32 u (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))))) |
(-.f32 (*.f32 u n1_i) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) |
(/.f32 (*.f32 u n1_i) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(+.f32 n0_i (*.f32 (*.f32 u n0_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))))) |
(+.f32 (*.f32 u n1_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (*.f32 u normAngle) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 (*.f32 u n1_i) n0_i)) u))) |
(*.f32 (-.f32 (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) (neg.f32 n0_i)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (+.f32 (*.f32 n0_i (*.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)))) u) (+.f32 (*.f32 u u) #s(literal -1 binary32)))) (*.f32 n0_i (*.f32 u n1_i))) (/.f32 #s(literal 1 binary32) (*.f32 n0_i n0_i))) u))) |
(+.f32 n0_i (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/2 binary32)))))))) |
(*.f32 (*.f32 u (+.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u)))) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))) |
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) n0_i) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) n0_i))) (/.f32 u (*.f32 normAngle normAngle)))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))))) |
(+.f32 (*.f32 u n1_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (neg.f32 (*.f32 n0_i (*.f32 u (*.f32 u u)))) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) (*.f32 u u)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 normAngle normAngle) u)) (/.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) (-.f32 #s(literal 1 binary32) u))) |
(+.f32 (*.f32 u n1_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (-.f32 (*.f32 u (*.f32 u u)) u))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+.f32 n0_i (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (-.f32 n1_i n0_i)) (/.f32 (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (/.f32 n1_i u)) (/.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) u)) (/.f32 n0_i u)) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))) |
(neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (/.f32 (+.f32 (-.f32 n0_i n1_i) (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (/.f32 n0_i u))) u)) u)))) |
(+.f32 (*.f32 u n1_i) (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i #s(literal -1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u)) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))) |
(+.f32 (*.f32 u n1_i) (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 u u)) (*.f32 n0_i (+.f32 (*.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32))) (/.f32 #s(literal 1 binary32) u)) (*.f32 u u)) #s(literal -2 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) u) (/.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32)) u)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))) u)))))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))) |
(+.f32 n0_i (/.f32 (*.f32 (-.f32 (*.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) (+.f32 (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))))) (*.f32 u (*.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32)))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle)))))) u) (+.f32 (-.f32 n1_i n0_i) (-.f32 (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32))) (*.f32 u (*.f32 normAngle normAngle))))))) |
(*.f32 (*.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) |
(+.f32 (*.f32 u n1_i) (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle))) (/.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) u) (/.f32 u (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))))))) (*.f32 u (+.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) u))))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))) |
(+.f32 (*.f32 u n1_i) (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 n0_i n0_i) #s(literal 1/4 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 normAngle normAngle))) (/.f32 (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) u) (/.f32 u (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32))))))))) (*.f32 u (+.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (*.f32 normAngle (*.f32 normAngle (+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))))) u))))) (*.f32 #s(literal -1 binary32) (*.f32 u (*.f32 u u))))) |
(/.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))) (sin.f32 normAngle)) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))))) |
(*.f32 (*.f32 u (+.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u)))) (/.f32 n1_i (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32))))))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32))))))) n0_i) (*.f32 u n1_i)) |
(/.f32 (*.f32 normAngle (+.f32 (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (*.f32 u (*.f32 (*.f32 u u) n1_i))) (*.f32 normAngle normAngle))))) (sin.f32 normAngle)) |
(fma.f32 u n1_i (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n0_i (*.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n1_i (*.f32 (-.f32 (*.f32 u (*.f32 u u)) u) #s(literal -1/6 binary32))) (*.f32 n0_i (+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(*.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 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(+.f32 n0_i (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 u n1_i)) |
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 u (*.f32 normAngle n1_i))) (sin.f32 normAngle)) |
(/.f32 (+.f32 (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle)) n0_i) (*.f32 (*.f32 u normAngle) n1_i)) (sin.f32 normAngle)) |
(/.f32 (+.f32 (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle)) n0_i) (*.f32 (*.f32 u (+.f32 normAngle (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u u)))) n1_i)) (sin.f32 normAngle)) |
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 u (+.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 normAngle (*.f32 n1_i (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (*.f32 u u)))))) (sin.f32 normAngle)) |
(/.f32 (+.f32 (*.f32 normAngle (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n0_i (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) |
(/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) |
(/.f32 (+.f32 (*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) |
(+.f32 n0_i (*.f32 u (-.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))) |
(+.f32 (*.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 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 normAngle (/.f32 #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)) |
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))) |
| Outputs |
|---|
(+.f32 n0_i (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/2 binary32)))))))) |
5 calls:
| 41.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 25.0ms | n1_i |
| 21.0ms | n0_i |
| 21.0ms | normAngle |
| 21.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 1 | normAngle |
| 98.9% | 1 | u |
| 98.9% | 1 | n0_i |
| 98.9% | 1 | n1_i |
| 98.9% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 49 to 33 computations (32.7% saved)
| Inputs |
|---|
n0_i |
(*.f32 u n1_i) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+.f32 (*.f32 u n1_i) n0_i) |
(+.f32 n0_i (*.f32 (neg.f32 u) n0_i)) |
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) |
(*.f32 n0_i (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 u n1_i) n0_i) u))) |
(*.f32 n1_i (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle))))) |
(*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) |
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) |
(+.f32 n0_i (*.f32 (*.f32 u n0_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32)))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32)))))) |
(*.f32 n1_i (+.f32 u (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))))) |
(+.f32 (*.f32 u n1_i) (+.f32 n0_i (*.f32 u (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i)))) |
(+.f32 n0_i (*.f32 u (*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 u u)))))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))))) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i) (/.f32 n1_i n0_i))) u))) |
(+.f32 (*.f32 u n1_i) (+.f32 n0_i (*.f32 u (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)))) |
(*.f32 n0_i (/.f32 (+.f32 (*.f32 u n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) |
(+.f32 n0_i (*.f32 u (*.f32 n1_i (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32))))))) |
(+.f32 n0_i (*.f32 (*.f32 u n1_i) (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u u)) (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (+.f32 u (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))))) |
(-.f32 (*.f32 u n1_i) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 (/.f32 n0_i (*.f32 u u)) (/.f32 n0_i (*.f32 u (*.f32 u u)))))) |
(/.f32 (*.f32 u n1_i) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))) |
(+.f32 n0_i (*.f32 (*.f32 u n0_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) (+.f32 (*.f32 (*.f32 u (*.f32 normAngle normAngle)) (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32))))) |
(+.f32 (*.f32 u n1_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (*.f32 u normAngle) (/.f32 n1_i (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (*.f32 (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i) (/.f32 (*.f32 u n1_i) n0_i)) u))) |
(*.f32 (-.f32 (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (+.f32 (*.f32 u n1_i) (*.f32 (*.f32 n1_i #s(literal -1/6 binary32)) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) (neg.f32 n0_i)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (+.f32 (*.f32 n0_i (*.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)))) u) (+.f32 (*.f32 u u) #s(literal -1 binary32)))) (*.f32 n0_i (*.f32 u n1_i))) (/.f32 #s(literal 1 binary32) (*.f32 n0_i n0_i))) u))) |
| Outputs |
|---|
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))))) |
4 calls:
| 19.0ms | n1_i |
| 17.0ms | u |
| 10.0ms | n0_i |
| 10.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | normAngle |
| 98.7% | 1 | u |
| 98.7% | 1 | n0_i |
| 98.7% | 1 | n1_i |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
n0_i |
(*.f32 u n1_i) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+.f32 (*.f32 u n1_i) n0_i) |
(+.f32 n0_i (*.f32 (neg.f32 u) n0_i)) |
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) |
(*.f32 n0_i (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 u n1_i) n0_i) u))) |
(*.f32 n1_i (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle))))) |
(*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) |
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) |
(+.f32 n0_i (*.f32 (*.f32 u n0_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32)))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32)))))) |
(*.f32 n1_i (+.f32 u (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))))) |
(+.f32 (*.f32 u n1_i) (+.f32 n0_i (*.f32 u (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))) n0_i)))) |
(+.f32 n0_i (*.f32 u (*.f32 n1_i (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 u u)))))))) |
| Outputs |
|---|
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) |
4 calls:
| 8.0ms | n1_i |
| 6.0ms | u |
| 6.0ms | n0_i |
| 6.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | u |
| 98.4% | 1 | n0_i |
| 98.4% | 1 | n1_i |
| 98.4% | 1 | normAngle |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
n0_i |
(*.f32 u n1_i) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+.f32 (*.f32 u n1_i) n0_i) |
(+.f32 n0_i (*.f32 (neg.f32 u) n0_i)) |
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) |
(*.f32 n0_i (*.f32 u (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)) |
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 u n1_i)) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 u n1_i) n0_i) u))) |
(*.f32 n1_i (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle))))) |
(*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) |
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) |
(+.f32 n0_i (*.f32 (*.f32 u n0_i) (+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32)))) |
| Outputs |
|---|
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) |
4 calls:
| 8.0ms | n1_i |
| 5.0ms | normAngle |
| 4.0ms | n0_i |
| 4.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | normAngle |
| 97.5% | 1 | u |
| 97.5% | 1 | n0_i |
| 97.5% | 1 | n1_i |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
n0_i |
(*.f32 u n1_i) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+.f32 (*.f32 u n1_i) n0_i) |
(+.f32 n0_i (*.f32 (neg.f32 u) n0_i)) |
| Outputs |
|---|
(+.f32 (*.f32 u n1_i) n0_i) |
(+.f32 n0_i (*.f32 (neg.f32 u) n0_i)) |
(+.f32 (*.f32 u n1_i) n0_i) |
4 calls:
| 2.0ms | normAngle |
| 2.0ms | n0_i |
| 2.0ms | u |
| 2.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 1 | normAngle |
| 80.2% | 1 | u |
| 83.4% | 2 | n0_i |
| 86.9% | 3 | n1_i |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
n0_i |
(*.f32 u n1_i) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+.f32 (*.f32 u n1_i) n0_i) |
| Outputs |
|---|
(+.f32 (*.f32 u n1_i) n0_i) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+.f32 (*.f32 u n1_i) n0_i) |
1 calls:
| 2.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 3 | n1_i |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
n0_i |
(*.f32 u n1_i) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
| Outputs |
|---|
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(*.f32 u n1_i) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
4 calls:
| 2.0ms | n0_i |
| 2.0ms | normAngle |
| 2.0ms | n1_i |
| 2.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.1% | 1 | normAngle |
| 62.1% | 1 | u |
| 76.6% | 3 | n0_i |
| 74.9% | 3 | n1_i |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
n0_i |
(*.f32 u n1_i) |
| Outputs |
|---|
n0_i |
(*.f32 u n1_i) |
n0_i |
4 calls:
| 2.0ms | n0_i |
| 1.0ms | n1_i |
| 1.0ms | u |
| 1.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.1% | 2 | u |
| 48.6% | 1 | normAngle |
| 62.2% | 3 | n1_i |
| 64.3% | 3 | n0_i |
Compiled 20 to 16 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
n0_i |
| Outputs |
|---|
n0_i |
4 calls:
| 31.0ms | n1_i |
| 1.0ms | u |
| 1.0ms | normAngle |
| 1.0ms | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.6% | 1 | normAngle |
| 48.6% | 1 | u |
| 48.6% | 1 | n1_i |
| 48.6% | 1 | n0_i |
Compiled 20 to 16 computations (20% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.0851660336146145e-25 | 9.3640570184425e-25 |
| 0.0ms | -7.572399680378612e-24 | -6.3392917563823874e-24 |
Compiled 36 to 23 computations (36.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.0851660336146145e-25 | 9.3640570184425e-25 |
| 0.0ms | -7.572399680378612e-24 | -6.3392917563823874e-24 |
Compiled 36 to 23 computations (36.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.362489789922428e-24 | 2.3177798357615375e-24 |
| 0.0ms | -3.8853508983237495e-31 | -8.750234773968782e-32 |
Compiled 36 to 23 computations (36.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.362489789922428e-24 | 2.3177798357615375e-24 |
| 0.0ms | -1.374333425698167e-21 | -1.1373391120080137e-21 |
Compiled 36 to 23 computations (36.1% saved)
| 1× | egg-herbie |
| 42× | *-commutative_binary32 |
| 32× | +-commutative_binary32 |
| 10× | sub-neg_binary32 |
| 8× | if-if-or-not_binary32 |
| 6× | neg-sub0_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 148 |
| 1 | 107 | 147 |
| 2 | 119 | 147 |
| 3 | 127 | 147 |
| 4 | 129 | 147 |
| 1× | saturated |
| Inputs |
|---|
(+.f32 n0_i (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/2 binary32)))))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) |
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) |
(if (<=.f32 n1_i #s(literal -4436777/633825300114114700748351602688 binary32)) (+.f32 (*.f32 u n1_i) n0_i) (if (<=.f32 n1_i #s(literal 2028241/2535301200456458802993406410752 binary32)) (+.f32 n0_i (*.f32 (neg.f32 u) n0_i)) (+.f32 (*.f32 u n1_i) n0_i))) |
(if (<=.f32 n1_i #s(literal -4436777/633825300114114700748351602688 binary32)) (+.f32 (*.f32 u n1_i) n0_i) (if (<=.f32 n1_i #s(literal 2028241/2535301200456458802993406410752 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u n1_i) n0_i))) |
(if (<=.f32 n0_i #s(literal -8507059/42535295865117307932921825928971026432 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (if (<=.f32 n0_i #s(literal 10141205/5070602400912917605986812821504 binary32)) (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(if (<=.f32 n0_i #s(literal -185691/154742504910672534362390528 binary32)) n0_i (if (<=.f32 n0_i #s(literal 10141205/5070602400912917605986812821504 binary32)) (*.f32 u n1_i) n0_i)) |
n0_i |
| Outputs |
|---|
(+.f32 n0_i (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/2 binary32)))))))) |
(+.f32 n0_i (*.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 u (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (*.f32 n0_i #s(literal -1/2 binary32)))))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))))) |
(+.f32 n0_i (*.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))) |
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) |
(if (<=.f32 n1_i #s(literal -4436777/633825300114114700748351602688 binary32)) (+.f32 (*.f32 u n1_i) n0_i) (if (<=.f32 n1_i #s(literal 2028241/2535301200456458802993406410752 binary32)) (+.f32 n0_i (*.f32 (neg.f32 u) n0_i)) (+.f32 (*.f32 u n1_i) n0_i))) |
(if (<=.f32 n1_i #s(literal -4436777/633825300114114700748351602688 binary32)) (+.f32 n0_i (*.f32 u n1_i)) (if (<=.f32 n1_i #s(literal 2028241/2535301200456458802993406410752 binary32)) (-.f32 n0_i (*.f32 n0_i u)) (+.f32 n0_i (*.f32 u n1_i)))) |
(if (<=.f32 n1_i #s(literal -4436777/633825300114114700748351602688 binary32)) (+.f32 (*.f32 u n1_i) n0_i) (if (<=.f32 n1_i #s(literal 2028241/2535301200456458802993406410752 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (*.f32 u n1_i) n0_i))) |
(if (<=.f32 n1_i #s(literal -4436777/633825300114114700748351602688 binary32)) (+.f32 n0_i (*.f32 u n1_i)) (if (<=.f32 n1_i #s(literal 2028241/2535301200456458802993406410752 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 n0_i (*.f32 u n1_i)))) |
(if (<=.f32 n0_i #s(literal -8507059/42535295865117307932921825928971026432 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (if (<=.f32 n0_i #s(literal 10141205/5070602400912917605986812821504 binary32)) (*.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(if (<=.f32 n0_i #s(literal -185691/154742504910672534362390528 binary32)) n0_i (if (<=.f32 n0_i #s(literal 10141205/5070602400912917605986812821504 binary32)) (*.f32 u n1_i) n0_i)) |
n0_i |
| 5948× | +-lowering-+.f64 |
| 5948× | +-lowering-+.f32 |
| 5816× | *-lowering-*.f32 |
| 5816× | *-lowering-*.f64 |
| 5558× | *-lowering-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1155 | 20746 |
| 1 | 4211 | 18297 |
| 0 | 8815 | 18297 |
| 0 | 72 | 565 |
| 1 | 526 | 490 |
| 2 | 6010 | 478 |
| 0 | 8046 | 478 |
| 0 | 567 | 6349 |
| 1 | 2023 | 5740 |
| 0 | 8419 | 5740 |
| 0 | 945 | 12538 |
| 1 | 3435 | 11151 |
| 0 | 8481 | 11151 |
| 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 |
Compiled 437 to 244 computations (44.2% saved)
(abs normAngle)
Compiled 548 to 246 computations (55.1% saved)
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